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Question

What is the relation between current density and electric field?


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Solution

Given information:

Electric field (E) and current density (J).

To find:

We have to find the relation between current density and electric field.

Calculations: We know that,

V=IR

and,

R=ρlA

Here,

R is the resistance.

I is the current.

V is the voltage.

ρ is the resistivity of the material.

L is the length of the conductor.

A is the cross-sectional area.

I=VR=VρlA=VAρl

Now,

IA=1ρVlJE

Therefore, the relation between current density and an electric field is JE.


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