A spool of iron wire 260 m long and with a diameter of 0.320 mm is at 20.0°C. For iron, the resistivity is 10.0 ✕ 10−8 Ω · m and the temperature coefficient of resistivity is 5.00 ✕ 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 0.550 A? V/m (b) What is the electric power (in W) delivered to the spool while it carries a current of 0.550 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 280°C? W

A spool of iron wire 260 m long and with a diameter of 0.320 mm is at 20.0°C. For iron, the resistivity is 10.0 ✕ 10−8 Ω · m and the temperature coefficient of resistivity is 5.00 ✕ 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 0.550 A? V/m (b) What is the electric power (in W) delivered to the spool while it carries a current of 0.550 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 280°C? W

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter28: Current And Resistance

Section: Chapter Questions

Problem 65PQ

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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

A spool of iron wire 260 m long and with a diameter of 0.320 mm is at 20.0°C. For iron, the resistivity is 10.0 ✕ 10⁻⁸ Ω · m and the temperature coefficient of resistivity is 5.00 ✕ 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 0.550 A?

V/m

(b)

What is the electric power (in W) delivered to the spool while it carries a current of 0.550 A?

(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 280°C?

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