Physics - EMI/AC Question with Solution | TestHub

$Z=\sqrt{{({\mathrm{X}}_{\mathrm{c}}-{\mathrm{X}}_{\mathrm{L}})}^2+{\mathrm{R}}^2}$

$=\sqrt{4{\mathrm{R}}^2+{\mathrm{R}}^2}=\sqrt{5}\mathrm{R}$

$P_{av}={\left(\frac{V_{rms}}{Z}\right)}^2\mathrm{R}$

$={\left(\frac{{\mathrm{V}}_0}{\sqrt{2}\sqrt{5}\mathrm{R}}\right)}^2\mathrm{R}$

$P_{av}=\frac{{\mathrm{V}}_0^2}{10\mathrm{R}}$