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COMEDK · Physics · 23. Alternating Current

For a series \(L-C-R\) circuit at resonance, which statement is not true?

  1. A Wattless current is zero.
  2. B Power factor is zero.
  3. C Peak energy stored by a capacitor = peak energy stored by an inductor.
  4. D Average power = Apparent power.
Verified Solution

Answer & Solution

Correct Answer

(B) Power factor is zero.

Step-by-step Solution

Detailed explanation

In \(L-C \cdot R\) series resonance circuit, \(X_{L_{L}}=X_{C}\) \(\therefore\) Impedance, \(Z=\sqrt{R^{2}+\left(X_{L}-X_{C}\right)^{2}}-\sqrt{R^{2}+0^{2}}\) \(\Rightarrow \quad Z=R\) \(\therefore\) Power factor, cos \(\phi=\frac{n}{Z}=\frac{R}{R}=1\) Which is not zero. Since,…
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