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Chapter 27: Q. 18 (page 762)

18. The electric field in a 2.0mm×2.0mmsquare aluminum wire is 0.012V/m. What is the current in the wire?

Short Answer

Expert verified

The current in the wire is 1.68A.

Step by step solution

01

Given information

The electric field in a 2.0mm×2.0mmsquare aluminum wire is 0.012V/m.

02

Explanation

The current density is given as a function of the current and cross-section area as: J=IA .
So, the current as I=JA=Ja2,
since in our case the cross-section will be a square.
The current density is related to the conductivity and electric field as
J=σE
Substituting, to find for the intensity
I=σEa2
I=3.5×107×0.012×0.0022

=1.68A.

03

Final answer

The current in the wire is 1.68A.

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