   Chapter 17, Problem 56AP

Chapter
Section
Textbook Problem

Birds resting on high-voltage power lines are a common sight. The copper wire on which a bird stands is 2.2 cm in diameter and carries a current of 50. A. If the bird’s feet are 4.0 cm apart, calculate the potential difference between its feet.

To determine
The potential difference between bird’s feet.

Explanation

Given Info:

The bird stands on the copper wire with diameter 2.2cm .

Explanation:

The wire carries the current 50A Birds feet are 4.0cm apart.

Formula to calculate the resistance is,

R=ρLA

• R is the resistance of wire,
• L is the length of wire,
• A is the area of cross section of the wire,
• ρ is the resistivity of the copper,

Equation to calculate the area of cross section of wire is,

A=πd24

• d is the diameter of the wire,

Formula to calculate the potential difference across the birds feet  is,

ΔV=IR

• ΔV is the potential difference across the birds feet,
• I is the current through the wire,

Substitute πd2/4 for A, ρL/A for R , and 50 A for I in the above equation to rewrite ΔV .

ΔV=I(4ρLπd2)

Substitute 50 A for I , 1.7×108Ωm for ρ , 4

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