List of top Electric circuits Questions on R, L, C, M elements asked in GATE EE

An air-core RF transformer has a primary and secondary winding. At 100 kHz, the primary sees 7.3 V\(_{p-p}\) and the secondary sees 5.0 V\(_{p-p}\). The load is 22\(\Omega\). The mutual inductance \(M\) is \(\underline{\hspace{1cm}}\) \(\mu H\). (Round off to 2 decimal places.)

Find the input impedance \(Z_{in}(s)\) of the coupled-inductor network shown.

Two single-core power cables have conductor resistances 0.7\(\Omega\) and 0.5\(\Omega\), and insulation resistances 600 M\(\Omega\) and 900 M\(\Omega\). When joined in series, the ratio of insulation resistance to conductor resistance is \(\underline{\hspace{1cm}}\) \(\times 10^{6}\).