In a series $L C R$ circuit the frequency of a $10 \mathrm{~V}$ a.c. voltage source is adjusted in such a fashion that the reactance of the inductor measures $15 \Omega$ and that of the capacitor $11 \Omega$. If $\mathrm{R}=3 \Omega$, the potential difference across the series combination of $L$ and $C$ will be:

Question

In a series $L C R$ circuit the frequency of a $10 \mathrm{~V}$ a.c. voltage source is adjusted in such a fashion that the reactance of the inductor measures $15 \Omega$ and that of the capacitor $11 \Omega$. If $\mathrm{R}=3 \Omega$, the potential difference across the series combination of $L$ and $C$ will be:, $8 \mathrm{~V}$, $10 \mathrm{~V}$, $22 \mathrm{~V}$, $52 \mathrm{~V}$

MARKS App · Accepted Answer

$\mathrm{X}_{\mathrm{L}}=15 \Omega ; \mathrm{X}_{\mathrm{C}}=11 \Omega ; \mathrm{R}=3 \Omega$ $\begin{aligned} & \text { Impedance, } \mathrm{Z}=\sqrt{\mathrm{R}^2+\left(\mathrm{X}_{\mathrm{L}}-\mathrm{X}_{\mathrm{C}}\right)^2} \ & =\sqrt{9+16}=5 \Omega \end{aligned}$

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