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Question

Two ac sources feed a common variable resistive load as shown in figure. Under the maximum power transfer condition, the power absorbed by the load resistance RL is

A
2200 W
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B
1250 W
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C
1000 W
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D
625 W
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Solution

The correct option is D 625 W
For obtaining maximum power absorbed by RL, we find thevenin's equivalent circuit across RL.



Zth is calculated by short-circuting the voltage sources.

Zth=(6+j8) || (6+j8)=3+j4Ω



Vth1000o6+j8+Vth900o6+j8=0

Vth=1000oV



For maximum power transfer,

RL=R2th+X2th=32+42=5Ω

I=Vth0(3+j4)+RL=1008+j4

=11.1826.56oA

Power absorbed by RL(max.)

=I2RL=11.182×5

= 625 W

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