Step 1:

Find the Thevenins equivalent impedance.

1. Open the load impedance.

2. Open Current Sources and Short Voltage Sources.

3. Calculate the Open Circuit impedance.

The resultant open circuit resistance is the Thevenins Resistance (R_TH).

Calculate the mutual inductance.

Redraw the circuit :

Step 2:

Calculate the equivalent impedance.

is in series with .

.

is in series with .

.

is in parallel to .

, and are in series.

can be written in polar form as .

Solution:

The thevenins impedance .

(b)

Find the thevenins equivalent voltage.

1.Open the load resistor.

2.Calculate the Open Circuit Voltage. This is the Thevenin Voltage (V_TH).

Redraw the circuit using current direction.

Apply KVL for the loop:

Find the voltage across the terminals A and B.

Therefore,