Physics - EMI/AC Question with Solution | TestHub

$X_L=\omega L\Rightarrow 1000\times \frac{1}{\sqrt{3}}\times 10^{-3}=\frac{1}{\sqrt{3}}\Omega$

${\mathrm{X}}_{\mathrm{C}}=\frac{1}{\omega \mathrm{C}}\Rightarrow {\mathrm{X}}_{\mathrm{C}}=\frac{1}{10^3\times \sqrt{3}\times 10^{-3}}=\frac{1}{\sqrt{3}}\Omega$

In position-1 :

${\mathrm{X}}_{\mathrm{L}}$ $\tan \Delta \varphi =\frac{{\mathrm{X}}_{\mathrm{L}}}{\mathrm{R}}=\frac{1}{\sqrt{3}}$ $\Delta \varphi =\frac{\pi }{6}$

In position-2:

$\tan \Delta \varphi =\frac{{\mathrm{X}}_{\mathrm{C}}}{\mathrm{R}}=\frac{1}{\sqrt{3}}$

$\Delta \varphi =\frac{\pi }{6}$

Phase difference between ${\mathrm{V}}_{\mathrm{C}}$ and $\mathrm{V}=\frac{\pi }{3}$

In position-3:

$\Delta \varphi =0$ $\underset{X_C}{\stackrel{X_L}{\downarrow }}\mathrm{R}\Rightarrow ⟶R$