ELECTRICAL WIRING:RESIDENTAL-6 PLANS
ELECTRICAL WIRING:RESIDENTAL-6 PLANS
18th Edition
ISBN: 9781305098329
Author: MULLIN
Publisher: CENGAGE L
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Textbook Question
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Chapter 4, Problem 35R

A 120-volt branch circuit supplies a resistive heating load of 10 amperes. The distance from the panel to the heater is approximately 140 ft. Calculate the voltage drop using (a) 14 AWG, (b) 12 AWG, (c) 10 AWG, (d) 8 AWG copper conductors. See 210.19(A), Informational Note No. 4 and 215.2(A)(1), Informational Note No. 2.

(a)

Expert Solution
Check Mark
To determine

Find the value of voltage drop in 14 AWG copper wire.

Answer to Problem 35R

The obtained value of voltage drop in 14 AWG copper wire is 8.79Volts drop_.

Explanation of Solution

Given data:

Supply voltage is 120-volt.

Current is 10 A.

The distance between panel and heater is approximately 140 ft.

14 AWG copper conductor.

Calculation:

Write the expression for voltage drop in single-phase circuit.

Ed=K×I×L×2CMA (1)

Here,

Ed is the voltage drop,

K is the approximate resistance in ohms per circular-mil foot at 75°C. The value of K for uncoated copper wire is 12.9 and for aluminum wire is 21.2.

I is the current, and

CMA is cross-sectional area of the conductors.

Modify Equation (1) for 14 AWG copper wire.

Ed(14AWG)=K×I×L×2CMA(14AWG) (2)

Refer TABLE 4-7 in the textbook for circular mil area (CMA) for many of the common conductors.

The value of CMA for 14 AWG is 4110.

Substitute 12.9 for K, 10 A for I, 140 ft for L, and 4110 for CMA(14AWG) in Equation (2) to find the voltage drop in 14 AWG copper wire.

Ed(14AWG)=12.9×10×140×24110=8.788Volts drop8.79Volts drop

Conclusion:

Thus, the obtained value of the voltage drop for 14 AWG copper wire is 8.79Volts drop_.

(b)

Expert Solution
Check Mark
To determine

Find the value of voltage drop in 12 AWG copper wire.

Answer to Problem 35R

The obtained value of the voltage drop for 12 AWG copper wire is 5.53Volts drop_.

Explanation of Solution

Given data:

12 AWG copper conductor.

Calculation:

Modify Equation (1) for 12 AWG copper wire.

Ed(12AWG)=K×I×L×2CMA(12AWG) (3)

Refer TABLE 4-7 in the textbook for circular mil area (CMA) for many of the common conductors.

The value of CMA for 12 AWG is 6530.

Substitute 12.9 for K, 10 A for I, 140 ft for L, and 6530 for CMA(12AWG) in Equation (3) to find the voltage drop in 12 AWG copper wire.

Ed(12AWG)=12.9×10×140×26530=5.531Volts drop5.53Volts drop

Conclusion:

Thus, the obtained value of voltage drop for 12 AWG copper wire is 5.53Volts drop_.

(c)

Expert Solution
Check Mark
To determine

Find the value of voltage drop in 10 AWG copper wire.

Answer to Problem 35R

The obtained value of voltage drop for 10 AWG copper wire is 3.48Volts drop_.

Explanation of Solution

Given data:

10 AWG copper conductor.

Calculation:

Modify Equation (1) for 10 AWG copper wire.

Ed(10AWG)=K×I×L×2CMA(10AWG) (4)

Refer TABLE 4-7 in the textbook for circular mil area (CMA) for many of the common conductors.

The value of CMA for 10 AWG is 10,380.

Substitute 12.9 for K, 10 A for I, 140 ft for L, and 10,380 for CMA(10AWG) in Equation (4) to find the voltage drop in 10 AWG copper wire.

Ed(10AWG)=12.9×10×140×210,380=3.479Volts drop3.48Volts drop

Conclusion:

Thus, the obtained value of voltage drop for 10 AWG copper wire is 3.48Volts drop_.

(d)

Expert Solution
Check Mark
To determine

Find the value of the voltage drop in 8 AWG copper wire.

Answer to Problem 35R

The obtained value of the voltage drop for 8 AWG copper wire is 2.19Volts drop_.

Explanation of Solution

Given data:

8 AWG copper conductor.

Calculation:

Modify Equation (1) for 8 AWG copper wire.

Ed(8AWG)=K×I×L×2CMA(8AWG) (5)

Refer TABLE 4-7 in the textbook for circular mil area (CMA) for many of the common conductors.

The value of CMA for 8 AWG is 16,510.

Substitute 12.9 for K, 10 A for I, 140 ft for L, and 16,510 for CMA(8AWG) in Equation (5) to find the voltage drop in 8 AWG copper wire.

Ed(8AWG)=12.9×10×140×216,510=2.187Volts drop2.19Volts drop

Conclusion:

Thus, the obtained value of the voltage drop for 8 AWG copper wire is 2.19Volts drop_.

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Chapter 4 Solutions

ELECTRICAL WIRING:RESIDENTAL-6 PLANS

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