In series LCR circuit, resistance is $18 \Omega$ and impedance is $33 \Omega$. An r.m.s. voltage of $220…

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. $400 \mathrm{~W}$
  2. $600 \mathrm{~W}$
  3. $800 \mathrm{~W}$
  4. $200 \mathrm{~W}$

Solution

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

Asked in: MHT CET 2020 (14 Oct Shift 2)

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