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MHT CET · Physics · Alternating Current

In series LCR circuit, resistance is \(18 \Omega\) and impedance is \(33 \Omega\). An r.m.s. voltage of
\(220 \mathrm{~V}\) is applied across the circuit. The true power consumed in a.c. circuit is

  1. A \(400 \mathrm{~V}\)
  2. B \(600 \mathrm{~V}\)
  3. C \(800 \mathrm{~V}\)
  4. D \(200 \mathrm{~V}\)
Verified Solution

Answer & Solution

Correct Answer

(C) \(800 \mathrm{~V}\)

Step-by-step Solution

Detailed explanation

\(I=\frac{V}{Z}=\frac{220}{33}=\frac{20}{3} A\)
\(P=I^{2} R=\left(\frac{20}{3}\right)^{2} \times 18=800 \mathrm{~W}\)