A long solenoid has a radius a, length h and n turns of wire per un...

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A long solenoid has a radius a, length h and n turns of wire per unit length. The current in the solenoid oscillates I (t) = I0 cosmut. We can assume w as sufficiently small so that the system is quasistatic. The magnetic field exterior to the solenoid is negligibly small. R I(t) n - a Figure 1: A circular loop with radius R is linked by a solenoid with turn density n, carrying a slowly varying current I(t) (a) Find the flux of B that links through an exterior circular loop L with radius R >a. (b) Calculate the electric field at a position of the loop. Give its magnitude, direc- tion and time dependence. (c) Find the displacement current at the position of the loop, again giving its mag- nitude, direction and time dependence.

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