## NFPA 70, 2017

#### Annex J ADA Standards for Accessible Design

Heads up: There are no amended sections in this chapter.

# Annex D Examples

ANNEXES A, B, C, D, E, F, G, H, I, & J
Adopting Agency BSC BSC-CG SFM HCD DSA OSHPD DPH
1 2 AC SS SS/CC 1 1R 2 3 4 5
Adopt Entire Article                 X X X X X X
Adopt entire Article as amended (amended sections listed below)
Adopt only those sections that are listed below     X
Article/Section
Annex A     X
Annex B     X

This informative annex is not a part of the requirements of this NFPA document but is included for informational purposes only.

Selection of Conductors. In the following examples, the results are generally expressed in amperes (A). To select conductor sizes, refer to the 0 through 2000 volt (V) ampacity tables of Article 310 and the rules of 310.15 that pertain to these tables.

Voltage. For uniform application of Articles 210, 215, and 220, a nominal voltage of 120, 120/240, 240, and 208Y/120 V is used in calculating the ampere load on the conductor.

Fractions of an Ampere. Except where the calculations result in a major fraction of an ampere (0.5 or larger), such fractions are permitted to be dropped.

Power Factor. Calculations in the following examples are based, for convenience, on the assumption that all loads have the same power factor (PF).

Ranges. For the calculation of the range loads in these examples, Column C of Table 220.55 has been used. For optional methods, see Columns A and B of Table 220.55. Except where the calculations result in a major fraction of a kilowatt (0.5 or larger), such fractions are permitted to be dropped.

SI Units. For metric conversions, 0.093 m2 = 1 ft2 and 0.3048 m = 1 ft.

Example D1(a) One-Family Dwelling

The dwelling has a floor area of 1500 ft2, exclusive of an unfinished cellar not adaptable for future use, unfinished attic, and open porches. Appliances are a 12-kW range and a 5.5-kW, 240-V dryer. Assume range and dryer kW ratings equivalent to kVA ratings in accordance with 220.54 and 220.55.

Calculated Load (see 220.40)

General Lighting Load 1500 ft2 at 3 VA/ft2 = 4500 VA

Minimum Number of Branch Circuits Required [see 210.11(A)]

General Lighting Load: 4500 VA ÷ 120 V = 38 A

This requires three 15-A, 2-wire or two 20-A, 2-wire circuits.

Small-Appliance Load: Two 2-wire, 20-A circuits [see 210.11(C)(1)]

Laundry Load: One 2-wire, 20-A circuit [see 210.11(C)(2)]

Bathroom Branch Circuit: One 2-wire, 20-A circuit (no additional load calculation is required for this circuit) [see 210.11(C)(3)]

Minimum Size Feeder Required [see 220.40]

 General Lighting 4,500 VA Small Appliance 3,000 VA Laundry 1,500 VA Total 9,000 VA 3000 VA at 100% 3,000 VA 9000 VA — 3000 VA = 6000 VA at 35% 2,100 VA Net Load 5,100 VA Range (see Table 220.55) 8,000 VA Dryer Load (see Table 220.54) 5,500 VA Net Calculated Load 18,600 VA

Net Calculated Load for 120/240-V, 3-wire, single-phase service or feeder

18,600 VA ÷ 240 V = 78 A

Sections 230.42(B) and 230.79 require service conductors and disconnecting means rated not less than 100 amperes.

Calculation for Neutral for Feeder and Service

 Lighting and Small-Appliance Load 5,100 VA Range: 8000 VA at 70% (see 220.61) 5,600 VA Dryer: 5500 VA at 70% (see 220.61) 3,850 VA Total 14,550 VA

Calculated Load for Neutral

14,550 VA ÷ 240 V = 61 A

Example Dl(b) One-Family Dwelling

Assume same conditions as Example No. Dl(a), plus addition of one 6-A, 230-V, room air-conditioning unit and one 12-A, 115-V, room air-conditioning unit,* one 8-A, 115-V, rated waste disposer, and one 10-A, 120-V, rated dishwasher. See Article 430 for general motors and Article 440, Part VII, for air-conditioning equipment. Motors have nameplate ratings of 115 V and 230 V for use on 120-V and 240-V nominal voltage systems.

*(For feeder neutral, use larger of the two appliances for unbalance.)

From Example Dl(a), feeder current is 78 A (3-wire, 240 V).

Line A Neutral Line B
Amperes from Example D1(a) 78 61 78
One 230-V air conditioner 6 6
One 115-V air conditioner and 120-V dishwasher 12 12 10
One 115-V disposer 8 8
25% of largest motor (see 430.24) 3 3 2
Total amperes per conductor 99 84 104

Therefore, the service would be rated 110 A.

Example D2(a) Optional Calculation for One-Family Dwelling, Heating Larger Than Air Conditioning

(see 220.82)

The dwelling has a floor area of 1500 ft2, exclusive of an unfinished cellar not adaptable for future use, unfinished attic, and open porches. It has a 12-kW range, a 2.5-kW water heater, a 1.2-kW dishwasher, 9 kW of electric space heating installed in five rooms, a 5-kW clothes dryer, and a 6-A, 230-V, room air-conditioning unit. Assume range, water heater, dishwasher, space heating, and clothes dryer kW ratings equivalent to kVA.

Air Conditioner kVA Calculation

6 A × 230 V ÷ 1000 = 1.38 kVA

This 1.38 kVA [item 1 from 220.82(C)] is less than 40% of 9 kVA of separately controlled electric heat [item 6 from 220.82(C)], so the 1.38 kVA need not be included in the service calculation.

 1500 ft2 at 3 VA 4,500 VA Two 20-A appliance outlet circuits at 1500 VA each 3,000 VA Laundry circuit 1,500 VA Range (at nameplate rating) 12,000 VA Water heater 2,500 VA Dishwasher 1,200 VA Clothes dryer 5,000 VA Total 29,700 VA

Application of Demand Factor [see 220.82(B)]

 First 10 kVA of general load at 100% 10,000 VA Remainder of general load at 40% (19.7 kVA × 0.4) 7,880 VA Total of general load 17,880 VA 9 kVA of heat at 40% (9000 VA × 0.4) = 3,600 VA Total 21,480 VA

Calculated Load for Service Size

21.48 kVA = 21,480 VA

21,480 VA ÷ 240 V = 90 A

Therefore, the minimum service rating would be 100 A in accordance with 230.42 and 230.79.

Feeder Neutral Load in Accordance with 220.61

 1500 ft2 at 3 VA 4,500 VA Three 20-A circuits at 1500 VA 4,500 VA Total 9,000 VA 3000 VA at 100% 3,000 VA 9000 VA — 3000 VA = 6000 VA at 35% 2,100 VA Subtotal 5,100 VA Range: 8 kVA at 70% 5,600 VA Clothes dryer: 5 kVA at 70% 3,500 VA Dishwasher 1,200 VA Total 15,400 VA

Calculated Load for Neutral

15,400 VA ÷ 240 V= 64 A

Example D2(b) Optional Calculation for One-Family Dwelling, Air Conditioning Larger Than Heating

[see 220.82(A) and 220.82(C)]

The dwelling has a floor area of 1500 ft2, exclusive of an unfinished cellar not adaptable for future use, unfinished attic, and open porches. It has two 20-A small appliance circuits, one 20-A laundry circuit, two 4-kW wall-mounted ovens, one 5.1-kW counter-mounted cooking unit, a 4.5-kW water heater, a 1.2-kW dishwasher, a 5-kW combination clothes washer and dryer, six 7-A, 230-V room air-conditioning units, and a 1.5-kW permanently installed bathroom space heater. Assume wall-mounted ovens, counter-mounted cooking unit, water heater, dishwasher, and combination clothes washer and dryer kW ratings equivalent to kVA.

Air Conditioning kVA Calculation

Total amperes = 6 units × 7 A = 42 A

42 A × 240 V ÷ 1000 = 10.08 kVA (assume PF = 1.0)

Load Included at 100%

Air Conditioning: Included below [see item 1 in 220.82(C)]

Space Heater: Omit [see item 5 in 220.82(C)]

 1500 ft2 at 3 VA 4,500 VA Two 20-A small-appliance circuits at 1500 VA each 3,000 VA Laundry circuit 1,500 VA Two ovens 8,000 VA One cooking unit 5,100 VA Water heater 4,500 VA Dishwasher 1,200 VA Washer/dryer 5,000 VA Total general load 32,800 VA First 10 kVA at 100% 10,000 VA Remainder at 40% (22.8 kVA × 0.4 × 1000) 9,120 VA Subtotal general load 19,120 VA Air conditioning 10,080 VA Total 29,200 VA

Calculated Load for Service

29,200 VA ÷ 240 V = 122 A (service rating)

Feeder Neutral Load, in accordance with 220.61

Assume that the two 44-kVA wall-mounted ovens are supplied by one branch circuit, the 5.1-kVA counter-mounted cooking unit by a separate circuit.

 1500 ft2 at 3 VA 4,500 VA Three 20-A circuits at 1500 VA 4,500 VA Subtotal 9,000 VA 3000 VA at 100% 3,000 VA 9000 VA — 3000 VA = 6000 VA at 35% 2,100 VA Subtotal 5,100 VA

Two 4-kVA ovens plus one 5.1-kVA cooking unit = 13.1 kVA. Table 220.55 permits 55% demand factor or 13.1 kVA × 0.55 = 7.2 kVA feeder capacity.

 Subtotal from above 5,100 VA Ovens and cooking unit: 7200 VA × 70% for neutral load 5,040 VA Clothes washer/dryer: 5 kVA × 70% for neutral load 3,500 VA Dishwasher 1,200 VA Total 14,840 VA

Calculated Load for Neutral

14,840 VA ÷ 240 V = 62

Example D2(c) Optional Calculation for One-Family Dwelling with Heat Pump (Single-Phase, 240/120-Volt Service)

(see 220.82)

The dwelling has a floor area of 2000 ft2, exclusive of an unfinished cellar not adaptable for future use, unfinished attic, and open porches. It has a 12-kW range, a 4.5-kW water heater, a 1.2-kW dishwasher, a 5-kW clothes dryer, and a 21/2-ton (24-A) heat pump with 15 kW of backup heat.

Heat Pump kVA Calculation

24 A × 240 V ÷ 1000 = 5.76 kVA

This 5.76 kVA is less than 15 kVA of the backup heat; therefore, the heat pump load need not be included in the service calculation [see 220.82(C)].

 2000 ft2 at 3 VA 6,000 VA Two 20-A appliance outlet circuits at 1500 VA each 3,000 VA Laundry circuit 1,500 VA Range (at nameplate rating) 12,000 VA Water heater 4,500 VA Dishwasher 1,200 VA Clothes dryer 5,000 VA Subtotal general load 33,200 VA First 10 kVA at 100% 10,000 VA Remainder of general load at 40% (23,200 VA× 0.4) 9,280 VA Total net general load 19,280 VA

Heat Pump and Supplementary Heat*

240 V × 24 A = 5760 VA

15 kW Electric Heat:

5760 VA + (15,000 VA × 65%) = 5.76 kVA + 9.75 kVA = 15.51 kVA

*If supplementary heat is not on at same time as heat pump, heat pump kVA need not be added to total.

 Totals Net general load 19,280 VA Heat pump and supplementary heat 15,510 VA Total 34,790 VA

Calculated Load for Service

34.79 kVA × 1000 ÷ 240 V = 145 A

Therefore, this dwelling unit would be permitted to be served by a 150-A service.

Example D3 Store Building

A store 50 ft by 60 ft, or 3000 ft2, has 30 ft of show window. There are a total of 80 duplex receptacles. The service is 120/240 V, single phase 3-wire service. Actual connected lighting load is 8500 VA.

Calculated Load (see 220.40)

Minimum Number of Branch Circuits Required

General Lighting: Branch circuits need only be installed to supply the actual connected load [see 210.11(B)].

8500 VA × 1.25 = 10,625 VA

10,625 VA ÷ 240 V = 44 A for 3-wire, 120/240 V

The lighting load would be permitted to be served by 2-wire or 3-wire, 15- or 20-A circuits with combined capacity equal to 44 A or greater for 3-wire circuits or 88 A or greater for 2-wire circuits. The feeder capacity as well as the number of branch-circuit positions available for lighting circuits in the panelboard must reflect the full calculated load of 9000 VA × 1.25 = 11,250 VA.

Show Window

6000 VA × 1.25 = 7500 VA

7500 VA ÷ 240 V = 31 A for 3-wire, 120/240 V

The show window lighting is permitted to be served by 2-wire or 3-wire circuits with a capacity equal to 31 A or greater for 3-wire circuits or 62 A or greater for 2-wire circuits.

Receptacles required by 210.62 are assumed to be included in the receptacle load above if these receptacles do not supply the show window lighting load.

Receptacles

Receptacle Load: 14,400 VA ÷ 240 V = 60 A for 3-wire, 120/240 V

The receptacle load would be permitted to be served by 2-wire or 3-wire circuits with a capacity equal to 60 A or greater for 3-wire circuits or 120 A or greater for 2-wire circuits.

Minimum Size Feeder (or Service) Overcurrent Protection

(see 215.3 or 230.90)

 Subtotal noncontinuous loads 12,200 VA Subtotal continuous load at 125% (16,200 VA × 1.25) 20,250 VA Total 32,450 VA

32,450 VA ÷ 240 V = 135 A

The next higher standard size is 150 A (see 240.6).

Minimum Size Feeders (or Service Conductors) Required

[see 215.2, 230.42(A)]

For 120/240 V, 3-wire system, 32,450 VA ÷ 240 V = 135 A Service or feeder conductor is 1/0 Cu in accordance with 215.3 and Table 310.15(B)(16) (with 75°C terminations).

Example D3(a) Industrial Feeders in a Common Raceway

An industrial multi-building facility has its service at the rear of its main building, and then provides 480Y/277-volt feeders to additional buildings behind the main building in order to segregate certain processes. The facility supplies its remote buildings through a partially enclosed access corridor that extends from the main switchboard rearward along a path that provides convenient access to services within 15 m (50 ft) of each additional building supplied. Two building feeders share a common raceway for approximately 45 m (150 ft) and run in the access corridor along with process steam and control and communications cabling. The steam raises the ambient temperature around the power raceway to as much as 35°C. At a tee fitting, the individual building feeders then run to each of the two buildings involved. The feeder neutrals are not connected to the equipment grounding conductors in the remote buildings. All distribution equipment terminations are listed as being suitable for 75°C connections. Each of the two buildings has the following loads:

Lighting, 11,600 VA, comprised of electric-discharge luminaires connected at 277 V

Receptacles, 22 125-volt, 20-ampere receptacles on general-purpose branch circuits, supplied by separately derived systems in each of the buildings

1 Air compressor, 460 volt, three phase, 5 hp

1 Grinder, 460 volt, three phase, 1.5 hp

3 Welders, AC transformer type (nameplate: 23 amperes, 480 volts, 60 percent duty cycle)

3 Industrial Process Dryers, 480 volt, three phase, 15 kW each (assume continuous use throughout certain shifts)

Determine the overcurrent protection and conductor size for the feeders in the common raceway, assuming the use of XHHW-2 insulation (90°C):

Calculated Load {Note: For reasonable precision, volt-ampere calculations are carried to three significant figures only; where loads are converted to amperes, the results are rounded to the nearest ampere [see 220.5(B)]}.

Overcurrent protection (see 215.3)

The overcurrent protective device must accommodate 125% of the continuous load, plus the noncontinuous load:

 Continuous load 56,600 VA Noncontinuous load 38,900 VA Subtotal, actual load [actual load in amperes] [99,000 VA ÷ (480V × √3) = 119 A] 95,500 VA (25% of 56,600 VA) (See 215.3) 14,200 VA Total VA 109,700 VA Conversion to amperes using three significant figures: 109,700 VA / (480V × √3) = 132 A Minimum size overcurrent protective device: 132 A Minimum standard size overcurrent protective device (see 240.6): 150 amperes

Where the overcurrent protective device and its assembly are listed for operation at 100 percent of its rating, a 125 ampere overcurrent protective device would be permitted. However, overcurrent protective device assemblies listed for 100 percent of their rating are typically not available at the 125-ampere rating. (See 215.3 Exception.)

Ungrounded Feeder Conductors

The conductors must independently meet requirements for (1) terminations, and (2) conditions of use throughout the raceway run.

Minimum size conductor at the overcurrent device termination [see 110.14(C) and 215.2(A)(1), using 75°C ampacity column in Table 310.15(B)(16)]: 1/0 AWG.

Minimum size conductors in the raceway based on actual load [see Article 100, Ampacity, and 310.15(B)(3)(a) and correction factors to Table 310.15(B)(16)]:

95,500 VA / 0.7 / 0.96 = 142,000 VA

[70% = 310.15(B)(3)(a)] & [0.96 = Correction factors to Table 310.15(B)(16)]

Conversion to amperes:

142,000 VA / (480V × √3) = 171 A

Note that the neutral conductors are counted as current-carrying conductors [see 310.15(B)(5)(c)] in this example because the discharge lighting has substantial nonlinear content. This requires a 2/0 AWG conductor based on the 90°C column of Table 310.15(B)(16). Therefore, the worst case is given by the raceway conditions, and 2/0 AWG conductors must be used. If the utility corridor were at normal temperatures [(30°C (86°F)], and if the lighting at each building were supplied from the local separately derived system (thus requiring no neutrals in the supply feeders), the raceway result (95,500 VA / 0.8 = 119,000 VA; 119,000 VA / (480V × √3) = 143 A, or a 1 AWG conductor @ 90°C) could not be used, because the termination result (1/0 AWG) based on the 75°C column of Table 310.15(B)(16) would become the worst case, requiring the larger conductor.

In every case, the overcurrent protective device shall provide overcurrent protection for the feeder conductors in accordance with their ampacity as provided by this Code(see 240.4). A 90°C 2/0 AWG conductor has a Table 310.15(B)(16) ampacity of 195 amperes. Adjusting for the conditions of use (35°C ambient temperature, 8 current-carrying conductors in the common raceway),

195 amperes × 0.96 × 0.7 = 131 A

The 150-ampere circuit breaker protects the 2/0 AWG feeder conductors, because 240.4(B) permits the use of the next higher standard size overcurrent protective device. Note that the feeder layout precludes the application of 310.15(A)(2) Exception.

Because 210.11(B) does not apply to these buildings, the load cannot be assumed to be evenly distributed across phases. Therefore the maximum imbalance must be assumed to be the full lighting load in this case, or 11,600 VA. (11,600 VA/277V = 42 amperes.) The ability of the neutral to return fault current [see 250.32(B) Exception(2)] is not a factor in this calculation.

Because the neutral runs between the main switchboard and the building panelboard, likely terminating on a busbar at both locations, and not on overcurrent devices, the effects of continuous loading can be disregarded in evaluating its terminations [see 215.2(A)(1) Exception No. 2]. That calculation is (11,600 VA ÷ 277V) = 42 amperes, to be evaluated under the 75°C column of Table 310.15(B)(16). The minimum size of the neutral might seem to be 8 AWG, but that size would not be sufficient to be depended upon in the event of a line-to-neutral short circuit [see 215.2(A)(1), second paragraph]. Therefore, since the minimum size equipment grounding conductor for a 150 ampere circuit, as covered in Table 250.122, is 6 AWG, that is the minimum neutral size required for this feeder.

Example D4(a) Multifamily Dwelling

Meters are in two banks of 20 each with individual feeders to each dwelling unit.

One-half of the dwelling units are equipped with electric ranges not exceeding 12 kW each. Assume range kW rating equivalent to kVA rating in accordance with 220.55. Other half of ranges are gas ranges.

Area of each dwelling unit is 840 ft2.

Laundry facilities on premises are available to all tenants. Add no circuit to individual dwelling unit.

Calculated Load for Each Dwelling Unit (see Article 220)

General Lighting: 840 ft2 at 3 VA/ft2 = 2520 VA

Special Appliance: Electric range (see 220.55) = 8000 VA

Minimum Number of Branch Circuits Required for Each Dwelling Unit [see 210.11(A)]

General Lighting Load: 2520 VA ÷ 120 V = 21 A or two 15-A,

2-wire circuits; or two 20-A, 2-wire circuits

Small-Appliance Load: Two 2-wire circuits of 12 AWG wire [see 210.11(C)(1)]

Range Circuit: 8000 VA ÷ 240 V = 33 A or a circuit of two 8 AWG conductors and one 10 AWG conductor in accordance with 210.19(A)(3)

Minimum Size Feeder Required for Each Dwelling Unit (see 215.2)

 Calculated Load (see Article 220): General Lighting 2,520 VA Small Appliance (two 20-ampere circuits) 3,000 VA Subtotal Calculated Load (without ranges) 5,520 VA

Application of Demand Factor (see Table 220.42)

 First 3000 VA at 100% 3,000 VA 5520 VA — 3000 VA = 2520 VA at 35% 882 VA Net Calculated Load (without ranges) 3,882 VA Range Load 8,000 VA Net Calculated Load (with ranges) 11,882 VA

Size of Each Feeder (see 215.2)

For 120/240-V, 3-wire system (without ranges)

Net calculated load of 3882 VA ÷ 240 V = 16 A For 120/240-V,

3-wire system (with ranges)

Net calculated load, 11,882 VA ÷ 240 V = 50 A

Feeder Neutral

 Lighting and Small-Appliance Load 3,882 VA Range Load: 8000 VA at 70% (see 220.61) 5,600 VA (only for apartments with electric range) 5,600 VA Net Calculated Load (neutral) 9,482 VA

Calculated Load for Neutral

9482 VA ÷ 240 V = 39.5 A

Minimum Size Feeders Required from Service Equipment to Meter Bank (For 20 Dwelling Units — 10 with Ranges)

 Total Calculated Load: Lighting and Small Appliance 20 units × 5520 VA 110,400 VA Application of Demand Factor First 3000 VA at 100% 3,000 VA 110,400 VA — 3000 VA = 107,400 VA at 35% 37,590 VA Net Calculated Load 40,590 VA Range Load: 10 ranges (not over 12 kVA) (see Col. C, Table 220.55, 25 kW) 25,000 VA Net Calculated Load (with ranges) 65,590 VA

Net calculated load for 120/240-V, 3-wire system,

65,590 VA ÷ 240 V = 273 A

Feeder Neutral

 Lighting and Small-Appliance Load 40,590 VA Range Load: 25,000 VA at 70% [see 220.61(B)] 17,500 VA Calculated Load (neutral) 58,090 VA

Calculated Load for Neutral

58,090 VA ÷ 240 V = 242 A

Further Demand Factor [220.61(B)]

 200 A at 100% 200 A 242 A — 200 A = 42 A at 70% 29 A Net Calculated Load (neutral) 229 A

Minimum Size Main Feeders (or Service Conductors) Required (Less House Load) (For 40 Dwelling Units — 20 with Ranges)

 Total Calculated Load: Lighting and Small-Appliance Load 40 units × 5520 VA 220,800 VA

Application of Demand Factor (from Table 220.42)

 First 3000 VA at 100% 3,000 VA Next 120,000 VA — 3000 VA = 117,000 VA at 35% 40,950 VA Remainder 220,800 VA — 120,000 VA = 100,800 VA at 25% 25,200 VA Net Calculated Load 69,150 VA Range Load: 20 ranges (less than 12 kVA) (see Col. C, Table 220.55) 35,000 VA Net Calculated Load 104,150 VA

For 120/240-V, 3-wire system

Net calculated load of 104,150 VA ÷ 240 V = 434 A

Feeder Neutral

 Lighting and Small-Appliance Load 69,150 VA Range: 35,000 VA at 70% [see 220.61(B)] 24,500 VA Calculated Load (neutral) 93,650 VA

93,650 VA ÷ 240 V = 390 A

Further Demand Factor [see 220.61(B)

 200 A at 100% 200 A 390 A — 200 A = 190 A at 70% 133 A Net Calculated Load (neutral) 333 A

[See Table 310.15(B)(16) through Table 310.15(B)(21), and 310.15(B)(2), (B)(3), and (B)(5).]

Example D4(b) Optional Calculation for Multifamily Dwelling

A multifamily dwelling equipped with electric cooking and space heating or air conditioning has 40 dwelling units.

Meters are in two banks of 20 each plus house metering and individual feeders to each dwelling unit.

Each dwelling unit is equipped with an electric range of 8-kW nameplate rating, four 1.5-kW separately controlled 240-V electric space heaters, and a 2.5-kW, 240-V electric water heater. Assume range, space heater, and water heater kW ratings equivalent to kVA. Calculate the load for the individual dwelling unit by the standard calculation (Part III of Article 220).

A common laundry facility is available to all tenants [see 210.52(F), Exception No. 1].

Area of each dwelling unit is 840 ft2.

Calculated Load for Each Dwelling Unit (see Part II and Part III of Article 220)

 General Lighting Load: 840 ft2 at 3 VA/ft2 2,520 VA Electric range 8,000 VA Electric heat: 6 kVA (or air conditioning if larger) 6,000 VA Electric water heater 2,500 VA

Minimum Number of Branch Circuits Required for Each Dwelling Unit

General Lighting Load: 2520 VA ÷ 120 V = 21 A or two 15-A, 2-wire circuits, or two 20-A, 2-wire circuits

Small-Appliance Load: Two 2-wire circuits of 12 AWG [see 210.11(C)(1)]

Range Circuit (See Table 220.55, Column B):

8000 VA × 80% ÷ 240 V = 27 A on a circuit of three

10 AWG conductors in accordance with 210.19(A)(3) Space Heating: 6000 VA ÷ 240 V = 25 A

Number of circuits (see 210.11)

Minimum Size Feeder Required for Each Dwelling Unit (see 215.2)

 Calculated Load (see Article 220): General Lighting 2,520 VA Small Appliance (two 20-A circuits) 3,000 VA Subtotal Calculated Load (without range and space heating) 5,520 VA

Application of Demand Factor

 First 3000 VA at 100% 3,000 VA 5520 VA — 3000 VA = 2520 VA at 35% 882 VA Net Calculated Load (without range and space heating) 3,882 VA Range 6,400 VA Space Heating (see 220.51) 6,000 VA Water Heater 2,500 VA Net Calculated Load (for individual dwelling unit) 18,782 VA

Size of Each Feeder

For 120/240-V, 3-wire system,

Net calculated load of 18,782 VA ÷ 240 V = 78 A

Feeder Neutral (see 220.61)

 Lighting and Small Appliance 3,882 VA Range Load: 6400 VA at 70% [see 220.61(B)] 4,480 VA Space and Water Heating (no neutral): 240 V 0 VA Net Calculated Load (neutral) 8,362 VA

Calculated Load for Neutral

8362 VA ÷ 240 V = 35 A

Minimum Size Feeder Required from Service Equipment to Meter Bank (For 20 Dwelling Units)

 Total Calculated Load: Lighting and Small-Appliance Load 20 units × 5520 VA 110,400 VA Water and Space Heating Load 20 units × 8500 VA 170,000 VA Range Load: 20 × 8000 VA 160,000 VA Net Calculated Load (20 dwelling units) 440,400 VA Net Calculated Load Using Optional Calculation (see Table 220.84) 440,400 VA × 0.38 167,352 VA

167,352 VA ÷ 240 V = 697 A

Minimum Size Main Feeder Required (Less House Load) (For 40 Dwelling Units)

 Calculated Load: Lighting and Small-Appliance Load 40 units × 5520 VA 220,800 VA Water and Space Heating Load 340,000 VA 40 units × 8500 VA Range: 40 ranges × 8000 VA 320,000 VA Net Calculated Load (40 dwelling units) 880,800 VA

Net Calculated Load Using Optional Calculation (see Table 220.84)

880,800 VA × 0.28 = 246,624 VA

246,624 VA ÷ 240 V = 1028 A

Feeder Neutral Load for Feeder from Service Equipment to Meter Bank (For 20 Dwelling Units)

 Lighting and Small-Appliance Load 20 units × 5520 VA 110,400 VA First 3000 VA at 100% 3,000 VA 110,400 VA — 3000 VA = 107,400 VA at 35% 37,590 VA Net Calculated Load 40,590 VA 20 ranges: 35,000 VA at 70% [see Table 220.55 and 220.61(B)] 24,500 VA Total 65,090 VA

65,090 VA ÷ 240 V = 271 A

Further Demand Factor [see 220.61(B)]

 First 200 A at 100% 200 A Balance: 271 A — 200 A = 71 A at 70% 50 A Total 250 A

Feeder Neutral Load of Main Feeder (Less House Load) (For 40 Dwelling Units)

 Lighting and Small-Appliance Load 40 units × 5520 VA 220,800 VA First 3000 VA at 100% 3,000 VA Next 120,000 VA — 3000 VA = 117,000 VA at 35% 40,950 VA Remainder 220,800 VA — 120,000 VA = 100,800 VA at 25% 25,200 VA Net Calculated Load 69,150 VA 40 ranges: 55,000 VA at 70% [see Table 220.55 and 220.61(B)] 38,500 VA Total 107,650 VA

107,650 VA ÷ 240 V = 449 A

Further Demand Factor [see 220.61(B)]

 First 200 A at 100% 200 A Balance: 449 — 200 A = 249 A at 70% 174 A Total 374 A
Example D5(a) Multifamily Dwelling Served at 208Y/120 Volts, Three Phase

All conditions and calculations are the same as for the multifamily dwelling [Example D4(a)] served at 120/240 V, single phase except as follows:

Service to each dwelling unit would be two phase legs and neutral.

Minimum Number of Branch Circuits Required for Each Dwelling Unit (see 210.11)

Range Circuit: 8000 VA ÷ 208 V = 38 A or a circuit of two 8 AWG conductors and one 10 AWG conductor in accordance with 210.19(A)(3)

Minimum Size Feeder Required for Each Dwelling Unit (see 215.2)

For 120/208-V, 3-wire system (without ranges),

Net calculated load of 3882 VA ÷ 2 legs ÷ 120 V/leg = 16 A

For 120/208-V, 3-wire system (with ranges),

Net calculated load (range) of 8000 VA ÷ 208 V = 39 A

Total load (range 4 lighting) = 39A + l6A = 55A

Reducing the neutral load on the feeder to each dwelling unit is not permitted [see 220.61(C)(1)].

Minimum Size Feeders Required from Service Equipment to Meter Bank (For 20 Dwelling Units — 10 with Ranges)

For 208Y/120-V, 3-phase, 4-wire system,

Ranges: Maximum number between any two phase legs = 4 2 × 4 = 8.

Table 220.55 demand = 23,000 VA

Per phase demand = 23,000 VA ÷ 2 = 11,500 VA

Equivalent 3-phase load = 34,500 VA

Net Calculated Load (total):

40.590 VA + 34,500 VA = 75,090 VA

75,090 VA ÷ (208 V)(1.732) = 208 A

Feeder Neutral Size

Net Calculated Lighting and Appliance Load & Equivalent Range Load:

40.590 VA + (34,500 VA at 70%) = 64,700 VA

Net Calculated Neutral Load:

64,700 VA ÷ (208 V)(1.732) = 180 A

Minimum Size Main Feeder (Less House Load) (For 40 Dwelling Units — 20 with Ranges)

For 208Y/120-V, 3-phase, 4-wire system,

Ranges:

Maximum number between any two phase legs = 7 2 x7 = 14.

Table 220.55 demand = 29,000 VA

Per phase demand = 29,000 VA ÷ 2 = 14,500 VA

Equivalent 3-phase load = 43,500 VA

Net Calculated Load (total):

69.150 VA + 43,500 VA = 112,650 VA

112,650 VA ÷ (208 V)(1.732) = 313 A

Main Feeder Neutral Size:

69.150 VA + (43,500 VA at 70%) = 99,600 VA

99,600 VA ÷ (208 V)(1.732) = 277 A

Further Demand Factor (see 220.61)

 200 A at 100% 200.0 A 277 A — 200 A = 77 A at 70% 54 A Net Calculated Load (neutral) 254 A
Example D5(b) Optional Calculation for Multifamily Dwelling Served at 208Y/120 Volts, Three Phase

All conditions and calculations are the same as for Optional Calculation for the Multifamily Dwelling [Example D4(b)] served at 120/240 V, single phase except as follows:

Service to each dwelling unit would be two phase legs and neutral.

Minimum Number of Branch Circuits Required for Each Dwelling Unit (see 210.11)

Range Circuit (see Table 220.55, Column B): 8000 VA at 80% ÷ 208 V = 31 A or a circuit of two 8 AWG conductors and one 10 AWG conductor in accordance with 210.19(A)(3)

Space Heating: 6000 VA ÷ 208 V = 29 A

Two 20-ampere, 2-pole circuits required, 12 AWG conductors

Minimum Size Feeder Required for Each Dwelling Unit

120/208-V, 3-wire circuit

Net calculated load of 18,782 VA ÷ 208 V = 90 A

Net calculated load (lighting line to neutral):

3882 VA ÷ 2 legs ÷ 120 V per leg = 16 amperes

Line to line = 14,900 VA ÷ 208 V = 72 A

Total load = 16.2 A + 71.6 A = 88 A

Minimum Size Feeder Required for Service Equipment to Meter Bank (For 20 Dwelling Units)

167,352 VA ÷ (208 V)(1.732) = 465 A

65,080 VA ÷ (208 V)(1.732) = 181 A

Minimum Size Main Feeder Required (Less House Load) (For 40 Dwelling Units)

246,624 VA ÷ (208 V)(1.732) = 685 A

Main Feeder Neutral Load

107,650 VA ÷ (208 V)(1.732) = 299 A

Further Demand Factor [see 220.61(B)]

 200 A at 100% 200.0 A 299 A — 200 A = 99 A at 70% 69 A Net Calculated Load (neutral) 269 A
Example D6 Maximum Demand for Range Loads

Table 220.55, Column C, applies to ranges not over 12 kW. The application of Note 1 to ranges over 12 kW (and not over 27 kW) and Note 2 to ranges over 83/4 kW (and not over 27 kW) is illustrated in the following two examples.

### A Ranges All the Same Rating

(see Table 220.55, Note 1)

Assume 24 ranges, each rated 16 kW.

From Table 220.55, Column C, the maximum demand for 24 ranges of 12-kW rating is 39 kW. 16 kW exceeds 12 kW by 4.

5% × 4 = 20% (5% increase for each kW in excess of 12)

39 kW × 20% = 7.8 kW increase

39 + 7.8 = 46.8 kW (value to be used in selection of feeders)

### B Ranges of Unequal Rating

(see Table 220.55, Note 2)

Assume 5 ranges, each rated 11 kW; 2 ranges, each rated 12 kW; 20 ranges, each rated 13.5 kW; 3 ranges, each rated 18 kW.

 5 ranges × 12 kW = 60 kW (use 12 kW for range rated less than 12) 2 ranges × 12 kW = 24 kW 20 ranges × 13.5 kW = 270 kW 3 ranges × 18 kW = 54 kW 30 ranges, Total kW = 408 kW

408 ÷ 30 ranges = 13.6 kW (average to be used for calculation)

From Table 220.55, Column C, the demand for 30 ranges of 12-kW rating is 15 kW + 30 (1 kW × 30 ranges) = 45 kW. 13.6 kW exceeds 12 kW by 1.6 kW (use 2 kW).

5% × 2 = 10% (5% increase for each kW in excess of 12 kW)

45 kW × 10% = 4.5 kW increase

45 kW + 4.5 kW = 49.5 kW (value to be used in selection of feeders)

Example D7 Sizing of Service Conductors for Dwelling(s)

Service conductors and feeders for certain dwellings are permitted to be sized in accordance with 310.15(B)(7).

With No Required Adjustment or Correction Factors. If a 175-ampere service rating is selected, a service conductor is then sized as follows:

175 amperes × 0.83 = 145.25 amperes per 310.15(B)(7).

If no other adjustments or corrections are required for the installation, then, in accordance with Table 310.15(B)(16), a 1/0 AWG Cu or a 3/0 AWG Al meets this rating at 75°C (167°F).

With Required Temperature Correction Factor. If a 175-ampere service rating is selected, a service conductor is then

175 amperes × 0.83 = 145.25 amperes per 310.15(B)(7).

If the conductors are installed in an ambient temperature of 40°C (104°F), the conductor ampacity must be multiplied by the appropriate correction factor in Table 310.15(B)(2)(a). In this case, we will use an XHHW-2 conductor, so we use a correction factor of 0.91 to find the minimum conductor ampacity and size:

145.25/.91 = 159.6 amperes

In accordance with Table 310.15(B)(16), a 2/0 AWG Cu or a 4/0 AWG Al would be required.

If no temperature correction or ampacity adjustment factors are required, the following table includes conductor sizes calculated using the requirements in 310.15(B)(7). This table is based on 75°C terminations and without any adjustment or correction factors.

Conductor (AWG or kcmil)
Service or Feeder Rating (Amperes) Copper Aluminum or Copper-Clad Aluminum
100 4 2
110 3 1
125 2 1/0
150 1 2/0
175 1/0 3/0
200 2/0 4/0
225 3/0 250
250 4/0 300
300 250 350
350 350 500
400 400 600
Example D8 Motor Circuit Conductors, Overload Protection, and Short-Circuit and Ground-Fault Protection

(see 240.6, 430.6, 430.22, 430.23, 430.24, 430.32, 430.52, and 430.62, Table 430.52, and Table 430.250)

Determine the minimum required conductor ampacity, the motor overload protection, the branch-circuit short-circuit and ground-fault protection, and the feeder protection, for three induction-type motors on a 480-V, 3-phase feeder, as follows:

(a) One 25-hp, 460-V, 3-phase, squirrel-cage motor, nameplate full-load current 32 A, Design B, Service Factor 1.15

(b) Two 30-hp, 460-V, 3-phase, wound-rotor motors, nameplate primary full-load current 38 A, nameplate secondary full-load current 65 A, 40°C rise.

Conductor Ampacity The full-load current value used to determine the minimum required conductor ampacity is obtained from Table 430.250 [see 430.6(A)] for the squirrel-cage motor and the primary of the wound-rotor motors. To obtain the minimum required conductor ampacity, the full-load current is multiplied by 1.25 [see 430.22 and 430.23(A)].

For the 25-hp motor,

34 A × 1.25 = 43 A

For the 30-horsepower motors,

40 A × 1.25 = 50 A

65 A × 1.25 = 81 A

Motor Overload Protection Where protected by a separate overload device, the motors are required to have overload protection rated or set to trip at not more than 125% of the nameplate full-load current [see 430.6(A) and 430.32(A)(1)].

For the 25-hp motor,

32 A × 1.25 = 40.0 A

For the 30-hp motors,

38 A × 1.25 = 48 A

Where the separate overload device is an overload relay (not a fuse or circuit breaker), and the overload device selected at 125% is not sufficient to start the motor or carry the load, the trip setting is permitted to be increased in accordance with 430.32(C).

Branch-Circuit Short-Circuit and Ground-Fault Protection The selection of the rating of the protective device depends on the type of protective device selected, in accordance with 430.52 and Table 430.52. The following is for the 25-hp motor.

(a) Nontime-Delay Fuse: The fuse rating is 300% × 34 A = 102 A. The next larger standard fuse is 110 A [see 240.6 and 430.52(C)(1), Exception No. 1]. If the motor will not start with a 110-A nontime-delay fuse, the fuse rating is permitted to be increased to 125 A because this rating does not exceed 400% [see 430.52(C)(1), Exception No. 2(a)].

(b) Time-Delay Fuse: The fuse rating is 175% × 34 A = 59.5 A. The next larger standard fuse is 60 A [see 240.6 and 430.52(C)(1), Exception No. 1]. If the motor will not start with a 60-A time-delay fuse, the fuse rating is permitted to be increased to 70 A because this rating does not exceed 225% [see 430.52(C)(1), Exception No. 2(b)].

Feeder Short-Circuit and Ground-Fault Protection

(a) Example using nontime delay fuse. The rating of the feeder protective device is based on the sum of the largest branch-circuit protective device for the specific type of device protecting the feeder: 300% × 34 A = 102 A (therefore the next largest standard size, 110 A, would be used) plus the sum of the full-load currents of the other motors, or 110 A + 40 A + 40 A = 190 A. The nearest standard fuse that does not exceed this value is 175 A [see 240.6 and 430.62(A)].

(b) Example using inverse time circuit breaker. The largest branch-circuit protective device for the specific type of device protecting the feeder, 250% × 34 A = 85. The next larger standard size is 90 A, plus the sum of the full-load currents of the other motors, or 90 A + 40 A + 40 A = 170 A. The nearest standard inverse time circuit breaker that does not exceed this value is 150 A [see 240.6 and 430.62(A)].

Example D9 Feeder Ampacity Determination for Generator Field Control

[see 215.2, 430.24, 430.24 Exception No. 1, 620.13, 620.14, 620.61, and Table 430.22(E) and 620.14]

Determine the conductor ampacity for a 460-V 3-phase, 60-Hz ac feeder supplying a group of six elevators. The 460-V ac drive motor nameplate rating of the largest MG set for one elevator is 40 hp and 52 A, and the remaining elevators each have a 30-hp, 40-A, ac drive motor rating for their MG sets. In addition to a motor controller, each elevator has a separate motion/operation controller rated 10 A continuous to operate microprocessors, relays, power supplies, and the elevator car door operator. The MG sets are rated continuous.

Conductor Ampacity Conductor ampacity is determined as follows:

(a) In accordance with 620.13(D) and 620.61(B)(1), use Table 430.22(E), for intermittent duty (elevators). For intermittent duty using a continuous rated motor, the percentage of nameplate current rating to be used is 140%.

(b) For the 30-hp ac drive motor,

140% × 40 A = 56 A

(c) For the 40-hp ac drive motor,

140% × 52 A = 73 A(I)

(d) The total conductor ampacity is the sum of all the motor currents:

(1 motor × 73 A) + (5 motors × 56 A) = 353 A

(e) In accordance with 620.14 and Table 620.14, the conductor (feeder) ampacity would be permitted to be reduced by the use of a demand factor. Constant loads are not included (see 620.14, Informational Note). For six elevators, the demand factor is 0.79. The feeder diverse ampacity is, therefore, 0.79 × 353 A = 279 A.

(f) In accordance with 430.24 and 215.3, the controller continuous current is 125% × 10 A = 13 A

(g) The total feeder ampacity is the sum of the diverse current and all the controller continuous current.

Itotal = 279 A + (6 elevators × 12.5 A) = 354 A

(h) This ampacity would be permitted to be used to select the wire size.

See Figure D9.

FIGURE D9 Generator Field Control.

Determine the conductor ampacity for a 460-V, 3-phase, 60-Hz ac feeder supplying a group of six identical elevators. The system is adjustable-speed SCR dc drive. The power transformers are external to the drive (motor controller) cabinet. Each elevator has a separate motion/operation controller connected to the load side of the main line disconnect switch rated 10 A continuous to operate microprocessors, relays, power supplies, and the elevator car door operator. Each transformer is rated 95 kVA with an efficiency of 90%.

Conductor Ampacity

Conductor ampacity is determined as follows:

(a) Calculate the nameplate rating of the transformer:

(b) In accordance with 620.13(D), for six elevators, the total conductor ampacity is the sum of all the currents.

6 elevators × 133 A = 798 A

(c) In accordance with 620.14 and Table 620.14, the conductor (feeder) ampacity would be permitted to be reduced by the use of a demand factor. Constant loads are not included (see 620.13, Informational Note No. 2). For six elevators, the demand factor is 0.79. The feeder diverse ampacity is, therefore, 0.79 × 798 A = 630 A.

(d) In accordance with 430.24 and 215.3, the controller continuous current is 125% × 10 A = 13 A.

(e) The total feeder ampacity is the sum of the diverse current and all the controller constant current.

Itotal = 630 A + (6 elevators × 12.5 A) = 705 A

(f) This ampacity would be permitted to be used to select the wire size.

See Figure D10.

FIGURE D10 Adjustable Speed Drive Control.

Example D11 Mobile Home

(see 550.18)

A mobile home floor is 70 ft by 10 ft and has two small appliance circuits; a 1000-VA, 240-V heater; a 200-VA, 120-V exhaust fan; a 400-VA, 120-V dishwasher; and a 7000-VA electric range.

Lighting and Small-Appliance Load

 Lighting (70 ft × 10 ft × 3 VA per ft2) 2,100 VA Small-appliance (1500 VA× 2 circuits) 3,000 VA Laundry (1500 VA × 1 circuit) 1,500 VA Subtotal 6,600 VA First 3000 VA at 100% 3,000 VA Remainder (6600 VA — 3000 VA = 3600 VA) × 35% 1,260 VA Total 4,260 VA

4260 VA ÷ 240 V = 17.75 A per leg

Amperes per Leg Leg A Leg B
Lighting and appliances 18 18
Heater (1000 VA ÷ 240 V) 4 4
Fan (200 VA × 125% ÷ 120 V) 2
Dishwasher (400 VA ÷ 120 V) 3
Range (7000 VA × 0.8 ÷ 240 V) 23 23
Total amperes per leg 47 48

Based on the higher current calculated for either leg, a minimum 50-A supply cord would be required.

For SI units, 0.093 m2 = 1 ft2 and 0.3048 m = 1 ft.

Example D12 Park Trailer

(see 552.47)

A park trailer floor is 40 ft by 10 ft and has two small appliance circuits, a 1000-VA, 240-V heater, a 200-VA, 120-V exhaust fan, a 400-VA, 120-V dishwasher, and a 7000-VA electric range.

Lighting and Small-Appliance Load

 Lighting (40 ft × 10 ft × 3 VA per ft2) 1,200 VA Small-appliance (1500 VA× 2 circuits) 3,000 VA Laundry (1500 VA × 1 circuit) 1,500 VA Subtotal 5,700 VA First 3000 VA at 100% 3,000 VA Remainder (5700 VA — 3000 VA = 2700 VA) × 35% 945 VA Total 3,945 VA

3945 VA÷ 240 V = 16.44 A per leg

Amperes per Leg Leg A Leg B
Lighting and appliances 16 16
Heater (1000 VA ÷ 240 V) 4 4
Fan (200 VA × 125% ÷ 120 V) 2
Dishwasher (400 VA ÷ 120 V) 3
Range (7000 VA × 0.8 ÷ 240 V) 23 23
Totals 45 46

Based on the higher current calculated for either leg, a minimum 50-A supply cord would be required.

For SI units, 0.093 m2 = 1 ft2 and 0.3048 m = 1 ft.

Example D13 Cable Tray Calculations

(see Article 392)

D13(a) Multiconductor Cables 4/0 AWG and Larger

Use: NEC 392.22(A)(1)(a)

Cable tray must have an inside width equal to or greater than the sum of the diameters (Sd) of the cables, which must be installed in a single layer.

Example: Cable tray width is obtained as follows:

Cable Size Being Used (OD)
Cable Outside Diameters (in.)
(N)
Number of Cables
SD = (OD) × (N)
(Sum of the Cable Diameters) (in.)
3-conductor Type MC cable — 4/0 AWG 1.57 12 18.84

The sum of the diameters (Sd) of all cables = 18.84 in., therefore a cable tray with an inside width of at least 18.84 in. is required.

Note: Cable outside diameter is a nominal diameter from catalog data.

D13(b) Multiconductor Cables Smaller Than 4/0 AWG

Use: NEC 392.22(A)(1)(b)

The sum of the cross-sectional areas of all the cables to be installed in the cable tray must be equal to or less than the allowable cable area for the tray width, as indicated in Table 392.22(A), Column 1.

Table D13(b) from Table 392.22(A), Column 1

Inside Width of Cable Tray (in.) Allowable Cable Area (in.2)
6 7.0
9 10.5
12 14.0
18 21.0
24 28.0
30 35.0
36 42.0

Example: Cable tray width is obtained as follows:

Cable Size Being Used (A)
Cable Cross-Sectional Area (in.2)
(N)
Number of Cables
Multiply (A) × (N) (Which Is a Total Cable Cross-Sectional Area in in.2)
4-conductor Type MC cable — 1 AWG 1.1350 9 12.15

The total cable cross-sectional area is 12.15 in.2. Using Table D13(b) above, the next higher allowable cable area must be used, which is 14.0 in.2. The table specifies that the cable tray inside width for an allowable cable area of 14.0 in.2 is 12 in.

Note: Cable cross-sectional area is a nominal area from catalog data.

D13(c) Single Conductor Cables 1/0 AWG through 4/0 AWG

Use: NEC 392.22(B)(1)(d)

Cable tray must have an inside width equal to or greater than the sum of the diameters (Sd) of the cables. The cables must be evenly distributed across the cable tray.

Example: Cable tray width is obtained as follows:

Single Conductor Cable Size Being Used (OD)
Cable Outside Diameters (in.)
(N)
Number of Cables
Sd = (OD) × (N)
(Sum of the Cable Diameters) (in.)
THHN — 4/0 AWG 0.642 18 11.556

The sum of the diameters (Sd) of all cables = 11.56 in., therefore, a cable tray with an inside width of at least 11.56 in. is required.

Note: Cable outside diameter from Chapter 9, Table 5.

### D.13(d) Single Conductor Cables 250 Kcmil Through 900 Kcmil

Use: NEC 392.22(B)(1)(b)

The sum of the cross-sectional areas of all the cables to be installed in the cable tray must be equal to or less than the allowable cable area for the tray width, as indicated in Table 392.22(B)(1), Column 1.

Table D13(d) from Table 392.22(B)(1), Column 1

Inside Width of Cable Tray (in.) Allowable Cable Area (in.2)
6 6.5
9 9.5
12 13.0
18 19.5
24 26.0
30 32.5
36 39.0

Example: Cable tray width is obtained as follows:

Cable Size Being Used (A)
Cable Cross-Sectional Area (in.2)
(N)
Number of Cables
Multiply (A) × (N)
(Which Is a Total Cable Cross-Sectional Area in in.2)
THHN — 500 kcmil 0.707 9 6.36

The total cable cross-sectional area is 6.36 in.2. Using Table D13(d), the next higher allowable cable area must be used, which is 6.5 in.2. The table specifies that the cable tray inside width for an allowable cable area of 6.5 in.2 is 6 in.

Note: Single-conductor cable cross-sectional area from Chapter 9, Table 5.