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(10 marks) A coaxial cable consists of two long concentric conducting tubes of length l, the...

A coaxial cable consists of two long concentric conducting tubes of length l, the inner one of radius a and the outer one of radius b. Assume that the zˆ direction lies along the axis of the cable. A current, I, flows down the inner conductor in the zˆ direction and returns in the outer conductor, where in each case the current is uniformly spread out over the surface.
(a) Determine the magnetic field B everywhere. [5]
(b) Find the self-inductance per unit length. [5]

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