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  4. A 500 Ω resistor and a capacitor C are connected in series across 50 Hz AC supply mains. The r.m.s. potential difference recorded on voltmeter V1 and V2 are V1=120 V and V2=160 V. The power taken from the mains is

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Q. A $500 \,\Omega$ resistor and a capacitor $C$ are connected in series across $50 \,Hz$ AC supply mains. The r.m.s. potential difference recorded on voltmeter $V_{1}$ and $V_{2}$ are $V_{1}=120 \,V$ and $V_{2}=160 \,V$. The power taken from the mains isPhysics Question Image

Alternating Current

Solution:

$I_{V} \times 500=120,I_{V}=0.24 \,A$
$P=I_{V}^{2} R=(0.24)^{2} \times 500=28.8 \,W$