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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300

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College Physics

11th Edition
Raymond A. Serway + 1 other
ISBN: 9781305952300
Textbook Problem

(a) A 34.5 -m length of copper wire at 20.0°C has a radius of 0.25 mm. If a potential difference of 0.0 V is applied across the length of the wire, determine the current in the wire. (b) If the wire is heated to 30.0°C while the 9.0-V potential difference is maintained, what is the resulting current in the wire?

(a)

To determine
The current passing through the copper wire.

Explanation

Given Info: The copper wire has the length 34.5m and the radius 0.25mm at 20.0°C . Potential difference across between ends of wire is 9.0V , The copper wire has the length 34.5m and the radius 0.25mm at 20.0°C . Potential difference across between ends of wire is 9.0V

Explanation:

Formula to calculate the resistance of copper wire is,

R0=ρLA

  • R0 is the resistance of copper wire at 20.0°C
  • ρ is the resistivity of copper,
  • A is the area of cross section of copper wire,
  • L is the length of copper wire,

Area of circular cross section of wire is given by

A=πr2

  • r is the radius of the wire

Substitute equation for area in the previous equation to rewrite R0 .

R0=ρL(πr2)

Substitute 1.7×108Ωm for ρ , 34.5m for L , 3.14 for π , and 0.25mm for r in the above equation to find ρ

(b)

To determine
The current passing through the copper wire at 30.0°C

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