Question

In: Electrical Engineering

A very long solid conducting cylinder of length L and radius R carries a uniform surface...

A very long solid conducting cylinder of length L and radius R carries a uniform surface current over the whole outer surface of the cylinder. The surface current is along Z and parallel to the XY-Plane.

Use the Biot-Savart law to calculate the B field inside, at the middle of the cylinder.

Thanks!

Solutions

Expert Solution

(1) We can assume the cylinder to be made up of rings with width dz. Lets assume origin at the middle of the cylinder. The incremental ring is situated at z and width is dz. The current on the incremental ring is

                                                           

The magnetic field due to incremental ring is

                                              

Or,

                                              

Or,

                               

Or,

                                     

Or,

                                                                   

Manojponduru answered 1 year ago
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