A transformer operating in the sinusoidal steady state with v 377 rad/s has self inductances L1 200mH; L2 400 mH, and k

A transformer operating in the sinusoidal steady state with v ¼ 377 rad/s has self inductances L1 ¼ 200mH;

L2 ¼ 400 mH, and k ¼ 0.95. The load connected across the secondary winding is ZL ¼ 75 þ j150 V. Find the transformer input impedance. Assume additive coupling.