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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=σE

The current density J=IAas,

⇒Iπr2=4Iπd2

Substituting the two expressions for the current density,

σE=4Iπd2

The electric field Eto be,

E=4Iπσd2

E=4×5π×1×107×0.0022

=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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