An aluminum "12 gauge" wire has a diameter d of 0.205 centimeters. The resistivity ρ of aluminum is 2.75×108 ohm-meters. The electric field in the wire changes with time as E(t)=0.0004t2 -0.0001t + 0.0004 newtons per coulomb, where time is measured in seconds. What is the current I through the conductor at time 5.0 seconds?

Given, Aluminium 12 gauge wire diameter of the wire=0.205cm resistivity ρ=2.75×108 ohm mElectric…

Answered: What is the current I through the…

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What is the current I through the conductor at time 5.0 seconds?

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.

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An aluminum "12 gauge" wire has a diameter d of 0.205 centimeters. The resistivity ρ of aluminum is 2.75×10⁸ ohm-meters. The electric field in the wire changes with time as E(t)=0.0004t² -0.0001t + 0.0004 newtons per coulomb, where time is measured in seconds.

What is the current I through the conductor at time 5.0 seconds?

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