A square, single-turn wire loop with l = 1 cm is placed inside a solenoid that h

Question

A square, single-turn wire loop with l = 1 cm is placed inside a solenoid that has a circular cross section of radius R = 3cm as shown in the end-view of the figure below. The solenoid is 20cm long and wound with 100 turns of wire, If the current in the solenoid is 3A and flowing in the given direction, what is the direction of the magnetic field it generates and what is the magnetic flux through the square loop? If the current in the solenoid is reduced uniformly to zero in 3s, what is the magnitude of the average induced emf in the square loop? Which way does the induced current flow through the loop?

Explanation / Answer

Solution:
Recall that the magnetic ?eld in the interior of an ideal long solenoid is,
B =

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