A conducting disk with radius a, thickness h, and resistivity is inside a solenoid of

Chapter 27, Problem 69

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A conducting disk with radius a, thickness h, and resistivity is inside a solenoid of circular cross section, its axis coinciding with the solenoid axis. The magnetic field in the solenoid is given by , where b is a constant. Find expressions for (a) the current density in the disk as a function of the distance r from the disk center and (b) the power dissipation in the entire disk. (Hint: Consider the disk as consisting of infinitesimal conducting loops.)

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