Question

The current density inside a long, solid, cylindrical wire of radius a = 2.3 mm is in the direction of the central axis and its magnitude varies linearly with radial distance r from the axis according to J = J0r/a, where J0 = 380 A/m2. Find the magnitude of the magnetic field at a distance (a) r=0, (b) r = 1.6 mm and (c) r=2.3 mm from the center.

Answer #1

The current density inside a long, solid, cylindrical wire of
radius a = 3.6 mm is in the direction of the central axis
and its magnitude varies linearly with radial distance r
from the axis according to J =
J0r/a, where
J0 = 420 A/m2. Find the magnitude of
the magnetic field at a distance (a) r=0, (b) r = 2.0 mm
and (c) r=3.6 mm from the center.

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A wire of radius R carries a non-uniform current described by
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