Answered: Birds resting on high-voltage power…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Question

Birds resting on high-voltage power lines are a common sight. The copper wire on which a bird stands is 5.4 cm in diameter and carries a current of 71 A. The bird’s feet are 2.2 cm apart, (a) What is the resistance of the copper wire between the bird's feet?

Note: For Copper, the resistivity, ρ, is 1.7x10^-8 Ω·m.

(b) Calculate the potential difference across its body.

Expert Solution

Step 1

Resistance can be calculated by a simple mathematical formula, given by,

$R = ρ \frac{L}{A}$

where R is the resistance and L and A are the length and area respectively.

Area can be calculated by,

A= $π {(\frac{d}{2})}^{2}$

Putting the values, we get,

$A = 3.14 \times {(\frac{5.4}{2})}^{2}$

A=22.89 $c m^{2}$

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