A transformer has self-inductances L1 200mH; L2 200 mH, and a coupling coefficient of k

A transformer has self-inductances L1 ¼ 200mH;

L2 ¼ 200 mH, and a coupling coefficient of k ¼ 0.99. The transformer is operating in the sinusoidal steady state with v ¼ 500 rad/s with a short-circuit connected across the secondary winding. Find the transformer input impedance.

Assume additive coupling.