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Chapter 27: Q. 20 (page 762)

20. What electric field strength is needed to create a 5.0Acurrent in a 2.0-mm-diameter iron wire?

Short Answer

Expert verified

The electric field strength is needed to create a 5.0Acurrent in a

2.0-mm-diameter iron wire is 0.159V/m.

Step by step solution

01

Given information

A 5.0 current in a 2.0-mm-diameter iron wire with the electric field strength.

02

Explanation

The current density is given by the electric field and the conductance as, J=蟽E

The current density J=IAas,

鈬�I蟺r2=4I蟺d2

Substituting the two expressions for the current density,

蟽E=4I蟺d2

The electric field Eto be,

E=4I蟺蟽d2

E=4脳5蟺脳1脳107脳0.0022

=0.159V/m
03

Final answer

The electric field strength is needed to create a 5.0Acurrent in a

2.0-mm-diameter iron wire is 0.159V/m.

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