   Chapter 17, Problem 47P

Chapter
Section
Textbook Problem

An electric utility company supplies a customer’s house from the main power lines (120. V) with two copper wires, each of which is 50.0 m long and has a resistance of 0.108 Ω per 300. m. (a) Find the potential difference at the customer’s house for a load current of 110. A. For this load current, find (b) the power delivered to the customer.

(a)

To determine
The potential difference at the customer’s house.

Explanation

Given Info: The Company supplies the voltage 120V Length of each copper wire is 50.0m . Each wire has resistance 0.108Ω per 300m . The load current is 110A

Explanation:

Formula to calculate the potential difference across the transmission line is,

ΔVline=IR

• Vline is the potential difference across the transmission line
• I is the current flows through the wire,
• R is the resistance of the copper wire,

Substitute 110A for I and (0.108Ω300m)(100m) for R in the above equation to find Vline

ΔVline=(110A)((0.108Ω300m)(100m))=3.96V

The potential difference across the transmission line is 3.96V

The Company supplies the voltage 120V Length of each copper wire is 50

(b)

To determine
The power delivered to the customer.

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