Mutual Inductance
Two coils, X and Y, are kept in close vicinity of each other. When a varying current, , flows through coil X, the induced emf in coil Y, varies in the manner shown here. The variation of , with time, can then be represented by the graph labelled as graph:


(A)

(B)

(C)

(D)
Show answer and solution
Answer: (b)
- , so the slope of is opposite in sign to and proportional to it.
- First part: , starting and ending at zero, so falls with zero slope at both ends (a smooth cosine-like fall).
- Second part: is a negative constant, so rises linearly.
- After that , so stays constant. Only graph C has this shape.
- So the answer is (b) C.