Physics - EMI/AC Question with Solution | TestHub

$Z=\sqrt{R^2+X_C^2}=R\sqrt{1.25}$ $$\therefore R^2+X_C^2=1.25R^2$$ or $X_C=\frac{R}{2}$ or $\frac{1}{\omega C}=\frac{R}{2}$ $\begin{array}{rl}\therefore \text{ Time constant }& =CR=\frac{2}{\omega }\\ & =\frac{2}{500}\mathrm{s}=4\mathrm{ms}\end{array}$ $\therefore$ Answer is 4 . Analysis of Question (i) Question is very simple. (ii) I think this is one of the simplest formula based question of this paper.