What is the total resistance of a two-wire circuit spanning a total distance of 1,650' with a conductor resistance of 0.148Ω per 1,000'?

• A. 0.384Ω
• B. 0.4884Ω
• C. 0.521Ω
• D. 0.310Ω

Answer: (B)

To find the total resistance of a two-wire circuit, you first need to calculate the resistance of one run of wire and then account for both the outgoing and return paths in your total.

Given the conductor resistance of 0.148Ω per 1,000 feet, start by calculating the resistance for the distance in question. Since the total distance of the circuit spans 1,650 feet, you will divide this by 1,000 to match the units of the resistance measurement:

1. Calculate the resistance for one run of wire (1,650 feet):

[

\text{Resistance for one run} = 0.148 , \text{Ω per 1,000'} \times \frac{1,650 , \text{feet}}{1,000} = 0.148 \times 1.65 = 0.2442 , \text{Ω}

]

2. Since the circuit consists of two wires – one for the current to travel to the load and another to return – you need to double the resistance of one wire:

[

\text{Total resistance} = 2 \times 0.2442 , \text{Ω}