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In an $L C R$ circuit shown in the following figure, what will be the readings of the voltmeter across the resistor and ammeter if an a.c. source of $220 \mathrm{~V}$ and $100 \mathrm{~Hz}$ is connected to it as shown?
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The correct answer is:
$220 \mathrm{~V}, 2.2 \mathrm{~A}$
$220 \mathrm{~V}, 2.2 \mathrm{~A}$
In case of series RLC circuit, Equation of voltage is given by
$$
\mathrm{V}^2=V_R^2+\left(V_L-V_C^2\right)
$$
Here, $V=220 V ; V_L=V_C=300 \mathrm{~V}$
$$
\therefore V_R=\sqrt{V^2}=220 \mathrm{~V}
$$
Current $i=\frac{V}{R}=\frac{220}{100}=2.2 \mathrm{~A}$
$$
\mathrm{V}^2=V_R^2+\left(V_L-V_C^2\right)
$$
Here, $V=220 V ; V_L=V_C=300 \mathrm{~V}$
$$
\therefore V_R=\sqrt{V^2}=220 \mathrm{~V}
$$
Current $i=\frac{V}{R}=\frac{220}{100}=2.2 \mathrm{~A}$
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