A long solenoid of radius a carrying n turns per unit length is looped by a wire of resistance R as shown in the figure 6. O 1 Figure 6: A solenoid looped by a wire of resistance R a) The current I(t) in the solenoid is decreasing at a constant rate = -a, and a is a positive constant. The magnetic field inside the solenoid is B = μonI. dI (t) dt (i) Derive an expression for the induced current that flows through the loop. (iii) Use Faraday's Law [5 marks] (ii) Copy the drawing in your submission and indicate the direction of the induced current through the loop. Justify your answer. f. E.d² = -d/f. B.as == dt and find the direction and magnitude of the electric field inside the solenoid.
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