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e = -L di/dt. During 0 to T/4, di/dt = const. ∴ e = -ve. During T/4 to T/2, di/dt = 0 ∴ e = 0. During T/2 to 3T/4, di/dt = const. ∴ e = +ve. Thus graph given in option (a) represents the variation of induced e.m.f. with time.
- Graph in option (a) represents the variation of induced e.m.f. with time.
- Graph in option (b) represents the variation of induced e.m.f. with time.
- Graph in option (c) represents the variation of induced e.m.f. with time.
- Graph in option (d) represents the variation of induced e.m.f. with time.
Correct answer: Graph in option (a) represents the variation of induced e.m.f. with time.
Solution
The induced emf is proportional to the rate of change of current (di/dt). During 0 to T/4, di/dt is constant and negative, so e is negative. During T/4 to T/2, di/dt is zero, so e is zero. During T/2 to 3T/4, di/dt is constant and positive, so e is positive. This matches the graph in option (a).
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