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.
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
(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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