Question

A wire of radius R carries a non-uniform current described by the current density J =...

A wire of radius R carries a non-uniform current described by the current density J = A r^3 where r is the radial distance from the center of the wire

1 write an expression for the total current that flows through the wire in terms of the parameters A, R, and constants.

2) What is the magnetic field B in the region r < R. Be sure to specify the direction of the field.

3) A positive charge is moving parallel to the wire in the direction of the current. What is the direction of the force on the moving charge?

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