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

College Physics
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Chapter17: Current And Resistance
Section: Chapter Questions
Problem 66AP: When a straight wire is heated, its resistance changes according to the equation R = R0 [1 + (T ...
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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
Transcribed Image Text:-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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