In series LCR circuit, the voltage across $L, C$ and $R$ is $50 \mathrm{~V}, 20 \mathrm{~V}$ and $40…
In series LCR circuit, the voltage across $L, C$ and $R$ is $50 \mathrm{~V}, 20 \mathrm{~V}$ and $40 \mathrm{~V}$ respectively. The a.c. voltage applied across the combination of LCR is
$10 \mathrm{~V}$
$110 \mathrm{~V}$
$70 \mathrm{~V}$
$50 \mathrm{~V}$
Solution
The ac voltage across the LCR is given by:
$V_{r m s}=\sqrt{V_R^2+\left(V_L-V_C\right)^2}=\sqrt{40^2+(50-20)^2}=50 \mathrm{~V}$