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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.

  1. Graph in option (a) represents the variation of induced e.m.f. with time.
  2. Graph in option (b) represents the variation of induced e.m.f. with time.
  3. Graph in option (c) represents the variation of induced e.m.f. with time.
  4. 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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