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KCET2013PhysicsAlternating Current

In R-L-C series circuit, the potential differences across each element is 20 ~V . Now the value of the resistance alone is doubled, then P.D. across R, L and C respectively.

Options

  1. A20 ~V , 10 ~V , 10 ~V
  2. B20 ~V , 20 ~V , 20 ~V
  3. C20 ~V , 40 ~V , 40 ~V
  4. D10 ~V , 20 ~V , 20 ~V

Correct answer

A. 20 ~V , 10 ~V , 10 ~V

Step-by-step solution

Given, the potential difference across each element is same i.e., 20 ~V , so, the circuit is at resonance and we have V=V_ R =20 ~V If the value of R is doubled, then value of / reduced to half _ L =V_ C = I X_ L 2 = I X_ C 2 = 20 2 =10 ~V ( circuit is at resonance) and V_ R =V=20 ~V

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