A 100 KVA, 400V/250kV testing transformer has 0.08 pu leakage reactance and 0.02 pu resistance on 100 kVA base. A cable has to be tested at 500 kV using the above transformer as a resonant transformer at 50 Hz. Assume 0.02 pu resistance for the resonant inductor. If the charging current at 500 kV is 0.4 A. Find 1) The required series inductance. 2) The input (primary) voltage to the transformer, (Low side voltage of the HV transformer)