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MHT CET · Physics · Alternating Current

In an a.c. circuit containing \(L, C\) and \(R\) in series, the ratio of apparent power to the true power is (Z and R are the impedance and resistance respectively, \(\phi=\) phase angle)

  1. A \(\cot \phi\)
  2. B \(\cos \phi\)
  3. C RZ
  4. D \(\frac{\mathrm{Z}}{\mathrm{R}}\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(\frac{\mathrm{Z}}{\mathrm{R}}\)

Step-by-step Solution

Detailed explanation

Ratio \( = \frac{\text{Apparent Power}}{\text{True Power}} \) \( = \frac{I^2 Z}{I^2 R} = \frac{Z}{R} \)
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