An N-turn circular wire coil of radius r lies in the xy-plane. A uniform magnetic field is turned on, increasing steadily from 0 to B in the positive z-direction in t seconds. (a) Find a symbolic expression for the emf, E, induced in the coil in terms of the variables given. (b) Looking down on at the xy-plane from the positive z-axis, is the direction of the induced current clockwise or counterclockwise? (c) If each loop has resistance R, find an expression for the magnitude of the induced current, I.
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