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JEE Main202227 Jun 2022Morning ShiftPhysicsAlternating CurrentActual

The current flowing through an ac circuit is given by I = 5 sin 120 π t A . How long will the current take to reach the peak value starting from zero?

Options

  1. A1 60   s
  2. B60   s
  3. C1 120   s
  4. D1 240   s

Correct answer

D. 1 240   s

Step-by-step solution

If initial value of current is zero, then it will take T 4 time to reach the peak value, where T = time period. As we know, ω = 120 π Therefore, t = T 4 = 2 π ω 4 = π 2 ω = π 2 × 120 π = 1 240   s

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