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  4. In series LCR circuit R=18 Ω and impedance is 33 Ω . An RMS voltage of 220 V is applied across the circuit. The true power consumed in the AC circuit is

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Q. In series LCR circuit $R=18 \, \Omega$ and impedance is $33 \, \Omega$ . An RMS voltage of $220 \, V$ is applied across the circuit. The true power consumed in the AC circuit is

NTA AbhyasNTA Abhyas 2022

Solution:

$P =e_{r m s}.i_{r m s}.cos \phi$
$=e_{r m s}.\frac{e_{r m s}}{Z}.\frac{R}{Z}$
$=\frac{220 \times 220 \times 18}{33 \times 33}$
$=\frac{20 \times 20 \times 18}{3 \times 3}$
$=20\times 20\times 2$
$=800 \, W$