Draw the Thevenin Equivalent circuit for the indicated eleme

Draw the Thevenin Equivalent circuit for the indicated element of interest, Z_load

Draw the therenin equivalent circuit given the indicated element of interest, zbar_load.

Solution

it contain dependent sources , Voc is voltage across cannot be directly calculated by shoorted the voltage sources

Rth = Voc/Isc

100/sqrt(2) = i - 2 ix - i2 /9=0

2ix = ( 4 + 1/216j) i2 - 0.25i= 0

on solving above 2 we will get

i= 2 A

ix = 3A

Voc = i + ix/216

= 3.2 V

Isc = 5A

Rth = 0.64 ohm