GATE Electrical Engineering (EE) 2018 Solved Paper

The voltage $\mathit{v}\left(\mathit{t}\right)$ across the terminals $\mathit{a}$ and $\mathit{b}$ shown in the figure, is a sinusoidal voltage having a frequency $\mathit{\omega }=100$ radian\/s. When the inductor current $\mathit{i}\left(\mathit{t}\right)$ is in phase with the voltage $\mathit{v}\left(\mathit{t}\right)$, the magnitude of the impedance $\mathit{Z}($ in $\mathit{\Omega })$ seen between the terminals a and b is ______________ (upto 2 decimal places).