Question

Asked Mar 25, 2019

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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 (*R _{L}*) should be equal to the source resistance (

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 3*V _{o}* 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 ( R_{L}) 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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