# Variation of J with r

I have to estimate the value of current density in terms of total current through the conductor.

A wire of a diameter a and has a current I

1. If I is distributed so that J is proportional to the distance from the axis, find J in terms of I.

2. If I is distributed so that J is inversely proportional to the distance from the axis, find J.

https://brainmass.com/physics/electricity-magnetism/estimating-value-current-density-565883

#### Solution Preview

Let us assume radius of conductor = R

Hence, pi*R^2 = a (given)

=> R = sqrt(a/pi)

a.

Assume J(r) = k*r

Where k =constant, r = distance from the ...

#### Solution Summary

If current density is function of distance from the axis, it's value in terms of total current through the conductor is estimated.

$2.19