Question

In a conductive and infinite cylindrical wire, the radius R is flowing from right to left, see drawing. The current density across the cross-sectional area of the wire is not uniform but varies by the following expression : J (r) = b · r Where r is the distance from the center of the cylinder cross-section (radius axis) and b is constant.

A) Calculate the size of the general current flowing in the wire (I). B) Calculate the magnitude and direction of the magnetic field outside the wire (r> R).

Answer #1

Solid cylindrical wire of infinitely length has radius R. I, a
current, is flowing in the z direction. Through the cross section
of the wire, the current flow is uniformly distributed.
1. Find the current density vector J in the wire. Show your
steps and be clear on the formulas.
2. What's the magnitude of the magnetic field at points outside
the wire? Use Ampere’s Law.
3. What's the magnitude of the magnetic field at points inside
the wire? Again,...

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A long cylindrical wire of radius R, made from a linear material
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1.
A cylindrical region of space of radius R contains a uniform
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zero, describe the induced electric field (magnitude and direction)
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