If the current density in a linear conductor of radius a varies with r according to relation J=kr2 where, k is a constant and r is the distance of a point from the axis of conductor. Find the magnetic field induction at a point distance r from the axis when r<a. Assume relative permeability of the conductor to be unity.

If the current density in a linear conductor of radius a varies with r

1.	If the current density in a linear conductor of radius a varies with r according to relation J=kr2 where, k is a constant and r is the distance of a point from the axis of conductor. Find the magnetic field induction at a point distance r from the axis when r<a. Assume relative permeability of the conductor to be unity.
Answer» If the current density in a linear conductor of radius $a$ varies with $r$ according to relation $J = k r^{2}$ where, $k$ is a constant and $r$ is the distance of a point from the axis of conductor. Find the magnetic field induction at a point distance $r$ from the axis when $r < a$ . Assume relative permeability of the conductor to be unity.

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