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# Variation of J with r

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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.

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