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MHT CET · Physics · Alternating Current

In series LCR circuit R \(=18 \Omega\) and impedance is \(30 \Omega\). An rms voltage 210 V is applied across the circuit. The true power consumed in AC circuit is nearly

  1. A 210 W
  2. B 400 W
  3. C 800 W
  4. D 900 W
Verified Solution

Answer & Solution

Correct Answer

(D) 900 W

Step-by-step Solution

Detailed explanation

\( P = \frac{V_{rms}^2}{Z^2} R \) \( P = \frac{(210)^2}{(30)^2} \times 18 \) \( P = \frac{44100}{900} \times 18 \) \( P = 49 \times 18 \) \( P = 882 \, \text{W} \) Nearly \( 900 \, \text{W} \)
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