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MHT CET202519 Apr 2025Morning ShiftPhysicsAlternating CurrentActual

The instantaneous value of current in an a.c. circuit is I=3 (50 t+ 4 ) A . The current will be maximum for the first time at

Options

  1. A1 50 ~s
  2. B1 100 ~s
  3. C1 200 ~s
  4. D1 600 ~s

Correct answer

C. 1 200 ~s

Step-by-step solution

The current is expressed as I = 3 (50 t + 4 ) amperes. The maximum of the sine function occurs when its argument is 2 . Set 50 t + 4 = 2 and solve for t : 50 t = 2 - 4 = 4 Dividing both sides by gives 50t = 1 4 . Thus, t = 1 4 50 = 1 200 seconds, matching option C.

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