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JEE Mains · Physics · STD 12 -7. Alternating current

Two circuit are shown in the figure \((a)\) and \((b).\) At a frequency of \(....\,rad/s\) the average power dissipated in one cycle will be same in both the circuits.

  1. A \(1000\)
  2. B \(200\)
  3. C \(500\)
  4. D \(5\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(500\)

Step-by-step Solution

Detailed explanation

\(P_{\text {avg }}=\frac{v_{\text {rms }}^{2}}{R}\) \(\frac{v_{ rms }^{2}}{Z^{2}} \times R=\frac{v_{r m s}^{2}}{R} \times 1\) \(R^{2}=Z^{2}\) \(25=\left(\sqrt{\left(x_{C}-x_{L}\right)^{2}+5^{2}}\right)^{2}\) \(25=\left(x_{c}-x_{L}\right)^{2}+25\)…
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