Question

Ask Your Teacher An electric utility company supplies a customer's house from the main power lines (120 V) with two copper wires, each of which is 34.0 m long and has a resistance of 0.109 Ω per 300 m. (a) Find the potential difference at the customer's house for a load current of 116 A.

Answer 1

Answer:

The potential difference at the customer's house is 117.1 V.

Explanation:

a) The potential difference at the customer's house can be calculated as follows:

$\Delta V_{h} = \Delta V_{p} - \Delta V_{l}$

Where:

$V_{h}$: is the potential difference at the customer's house

$V_{p}$: is the potential difference from the main power lines = 120 V

$V_{l}$: is the potential difference from the lines

$\Delta V_{h} = \Delta V_{p} - IR$

The resistance, R, is:

$\frac{0.109 \Omega}{300 m}*2*34.0 m = 0.025 \Omega$

Now, the potential difference at the customer's house is:

$\Delta V_{h} = 120 V - 116A*0.025 \Omega = 117.1 V$

Therefore, the potential difference at the customer's house is 117.1 V.

I hope it helps you!