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MHT CET202522 Apr 2025Morning ShiftPhysicsAlternating CurrentActual

When alternating current is passed through L-R series circuit, the power factor is 3 2 and R=50 , then the value of L is [ 6 = 3 2 , 6 = 1 2 , 6 = 1 3 ]

Options

  1. A1 2
  2. B3 2
  3. C1 2 3
  4. D1 3

Correct answer

C. 1 2 3

Step-by-step solution

Given: Resistance R = 50 , power factor = 3 2 . The phase angle satisfies = 6 , taking = 6 as standard. For an LR circuit, = X_L R . Substituting known values: 6 = 1 3 = X_L 50 Solving gives X_L = 50 3 . Using X_L = L with = 2 f : L = 50/ 3 2 f Assuming a standard frequency of 50 Hz: L = 50 2 3 50 = 1 2 3 Henry This corresponds to option C .

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