The transformer in Figure P15–36 is operating in the ac steady-state with a voltage source connected at the input and the output shorted. Show that the input impedance is ZIN ¼ jX1 1 k2

, where k is the coupling coefficient.

Hint : k ¼ XM=

ffiffiffiffiffiffiffiffiffiffiffiffiffi X1X2 p

:

Transcribed Image Text:

Vs ZIN 11 jXM + 1 + + jX1 jX2 FIGURE P15-36 V2 Isc