Explore BrainMass
Share

Explore BrainMass

    Variation of J with r

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    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.

    © BrainMass Inc. brainmass.com October 10, 2019, 7:03 am ad1c9bdddf
    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