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NEET2006PhysicsAlternating CurrentActual

A coil of inductive reactance 31 has a resistance of 8 . It is placed in series with a condenser of capacitative reactance 25 . The combination is connected to an a.c. source of 110 ~V . The power factor of the circuit is:

Options

  1. A0.33
  2. B0.56
  3. C0.64
  4. D0.80

Correct answer

D. 0.80

Step-by-step solution

X_L=31 , X_C=25 , R=8 impedance of series LCR is aligned & Z = R ^2+ ( X _ L - X _ C )^2 & = 8^2+(31-25)^2 & = 64+36 = 100 =10 aligned Power factor = R 2 = 8 10 =0.8

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