Physics - EMI/AC Question with Solution | TestHub

In parallel combination each branch should have equal potential but in AC circuit in a branch,

${\mathrm{V}}_{\mathrm{eff}}=\sqrt{{\text{V}}_{\mathrm{R}}^2+({\text{V}}_{\mathrm{c}}-{\text{V}}_{\mathrm{L}}{)}^2}$
$$\begin{gathered} {\mathrm{V}}_{\mathrm{C}}^2+{\mathrm{V}}_{\mathrm{R}1}^2={\mathrm{V}}_{\mathrm{L}}^2+{\mathrm{V}}_{\mathrm{R}2}^2 \\ \Rightarrow {12}^2+5^2={10}^2+{\mathrm{V}}_{\mathrm{R}2}^2\mathrm{ } \\ \Rightarrow ({\text{V}}_{\text{R}2}{)}_{\mathrm{rms}}=\sqrt{69} \end{gathered}$$
${\text{V}}_{\text{peak}}=\sqrt{2}{\text{V}}_{\text{rms}}$
$\therefore$${\left({\mathrm{V}}_{\mathrm{R}2}\right)}_{\mathrm{peak}}=\sqrt{138}\mathrm{ }\mathrm{V}$