QuestionMay 6, 2025

If a 120V, 2 wire circuit using No. 8 AWG wire feeds a total load of 40 A with a branch circuit length of 100', the voltage drop is __ 3.65V 6.25V 1.75V 4.72V

If a 120V, 2 wire circuit using No. 8 AWG wire feeds a total load of 40 A with a branch circuit length of 100', the voltage drop is __ 3.65V 6.25V 1.75V 4.72V
If a 120V, 2 wire circuit using No. 8 AWG wire feeds a total load of 40 A with a branch circuit length of 100', the voltage drop is __ 3.65V 6.25V 1.75V 4.72V

Solution
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Answer

2.512V Explanation 1. Calculate Resistance per Foot No. 8 AWG wire has a resistance of approximately 0.628 \text{ ohms per } 1000'. Therefore, the resistance per foot is 0.000628 \text{ ohms}. 2. Calculate Total Resistance Multiply resistance per foot by total length: R = 0.000628 \times 100 = 0.0628 \text{ ohms}. 3. Calculate Voltage Drop Use **Voltage Drop Formula**: V_{\text{drop}} = I \times R, where I = 40 \text{ A}. So, V_{\text{drop}} = 40 \times 0.0628 = 2.512 \text{ V}.

Explanation

1. Calculate Resistance per Foot<br /> No. 8 AWG wire has a resistance of approximately $0.628 \text{ ohms per } 1000'$. Therefore, the resistance per foot is $0.000628 \text{ ohms}$.<br />2. Calculate Total Resistance<br /> Multiply resistance per foot by total length: $R = 0.000628 \times 100 = 0.0628 \text{ ohms}$.<br />3. Calculate Voltage Drop<br /> Use **Voltage Drop Formula**: $V_{\text{drop}} = I \times R$, where $I = 40 \text{ A}$. So, $V_{\text{drop}} = 40 \times 0.0628 = 2.512 \text{ V}$.
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