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Step 1

Part (a):

Refer to Figure as shown in the part (a) of the given question.

According to the Maximum power transfer theorem, the value of load resistance (RL) should be equal to the source resistance (RS) in order to transfer maximum power to the load.

The source resistance can be calculated by open circuiting the current sources and short circuiting the voltage sources in the given circuit. In the given circuit, 3 A is a current source and 3Vo is a dependent voltage source. Therefore, redraw the circuit by open circuiting the current source and short circuiting the dependent source as shown in Figure 1.

Step 2

From Figure 1, it is clear that, the equivalent source resistance is only 4 ohms. The 2 ohms resistor does not play any role in the circuit as the series current source is open circuited.

Therefore, the value of load resistance (RL) is 4 ohms in order to transfer maximum power to the load.

Write the expression for maximum power transfer to the load as follows:

Step 3

Here,

is the thevenin’s voltage.

The thevenin’s voltage is the open circuit voltage across t...

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### Electrical Engineering 