In a series LCR the voltage across resistance, capacitance and inductance is 10 V each. If the capac

Question

In a series LCR the voltage across resistance, capacitance and inductance is 10 V each. If the capacitance is short circuited, the voltage across the inductance will be....

Professor PC Thomas Classes · Answer

Since, $V_L=V_C=V_R$
$$
	herefore X_L=X_C=R 	ext { and } V=V_R=10 \mathrm{~V}
$$
when capacitor is short circuited
$$
\begin{aligned}
& i=\frac{10}{\sqrt{R^2+X_L^2}}=\frac{10}{\sqrt{2} R}\left(	ext { as } X_L=Right) \
& V_L=i X_L=\left(\frac{10}{\sqrt{2} R}ight) R=\frac{10}{\sqrt{2}} \mathrm{~V}
\end{aligned}
$$