A spool of aluminum wire 200 m long and with a diameter of 0.360 mm is at 20.0°C. For aluminum, the resistivity is 2.82 x 10-80 m and the temperature coefficient of resistivity is 3.90 x 10-3 (°C)-¹. (a) What is the magnitude of the electric field (in V/m) in the wire if it carries a current of 0.400 A? V/m (b) What is the electric power (in W) delivered to the spool while it carries a current of 0.400 A? W (c) What is the power (in W) delivered to the spool if the potential difference across the wire is held constant and the temperature is increased to 310°C? W

A spool of aluminum wire 200 m long and with a diameter of 0.360 mm is at 20.0°C. For aluminum, the resistivity is 2.82 x 10-80 m and the temperature coefficient of resistivity is 3.90 x 10-3 (°C)-¹. (a) What is the magnitude of the electric field (in V/m) in the wire if it carries a current of 0.400 A? V/m (b) What is the electric power (in W) delivered to the spool while it carries a current of 0.400 A? W (c) What is the power (in W) delivered to the spool if the potential difference across the wire is held constant and the temperature is increased to 310°C? W

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter21: Current And Direct Current Circuits

Section: Chapter Questions

Problem 17P

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Concept explainers

Microscopic view of current

In physics, the term current is expressed as the rate of flow of electric charges across the area per unit time (I=q/t). It propagates along in the direction of the motion of positive charges. When the current is caused by the motion of electrons, the direction of the current is opposite to the flow.

Question

-8
A spool of aluminum wire 200 m long and with a diameter of 0.360 mm is at 20.0°C. For aluminum, the resistivity is 2.82 x 107 Ω·
• m and the temperature coefficient of resistivity is
3.90 x 10-3 (°C) -¹.
(a) What is the magnitude of the electric field (in V/m) in the wire if it carries a current of 0.400 A?
V/m
(b) What is the electric power (in W) delivered to the spool while it carries a current of 0.400 A?
W
(c) What is the power (in W) delivered to the spool if the potential difference across the wire is held constant and the temperature is increased to 310°C?
W

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