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Calculate the maximum power transferred.

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in Basic Electrical Engineering by (88.7k points)
Calculate the maximum power transferred.

(a) 1.79W

(b) 4.55W

(c) 5.67W

(d) 3.78W

The question was asked in unit test.

This interesting question is from Maximum Power Transfer topic in division Network Theorems of Basic Electrical Engineering

1 Answer

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Correct choice is (a) 1.79W

Easiest explanation: On shorting the voltage sources:

RL=3||2+4||3 =1.20+1.71=2.91 ohm.

The two nodal equations are:

(VA-10)/3+VA/2=0

(VB-20)/4+VB/3=0

On solving the two equations, we get VA=4V, VB=8.571V.

VAB=VA-VB = 4V – 8.571V = -4.57V.

Eth=4.57V

The maximum power transferred = Eth^2/4RL. Substituting the given values in the formula, we get Pmax = 1.79W.

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