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KCET2020PhysicsAlternating Current

The power factor of R-L circuit is 1 3 . If the inductive reactance is 2 . The value of resistance is

Options

  1. A2
  2. B2
  3. C0.5
  4. D1 2

Correct answer

B. 2

Step-by-step solution

Given, power factor = 1 3 Inductive reactance, X_ L =2 The power factor in a R-L circuit is given by Power factor = Resistance Impedance = R R²+X_ L ² 1 3 = R R²+4 Squaring both sides, we get aligned 1 3 &= R² R²+4 R²+4 &=3 R² R= 2 aligned

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