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Chapter 27: Q.22 (page 762)

22. A 3.0-mm-diameter wire carries a 12A current when the electric field is 0.085V/m. What is the wire's resistivity?

Short Answer

Expert verified

The wire's resistivity is 5脳10-8惟m.

Step by step solution

01

Given information

A 3.0-mm-diameter wire carries a 12Acurrent when the electric field is 0.085V/m.

02

Explanation

The current density is,J=蟽E,
Rewrite as,

J=E蚁

From this, the resistivity is,蚁=EJ

The current density by applying its definition:

J=IA=4I蟺d2

Substituting this expression in the one for the resistivity,
蚁=蟺Ed24I
蚁=蟺脳0.085V/m脳0.0032m4脳12A

=5脳10-8惟m

03

Final answer

The wire's resistivity is 5脳10-8惟m.

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