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Question

A battery of internal resistance 4Ω is connected to the network of resistances as shown. In order to give the maximum power to the network, the value of R (in Ω) should be

A
49
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B
89
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C
2
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D
18
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Solution

The correct option is C 2
The equivalent circuit becomes a balanced wheatstone bridge


For maximum power transfer, external resistance should be equal to internal resistance of source
(R+2R)(2R+4R)(R+2R)+(2R+4R)=4 i.e. 3R×6R3R+6R=4 or R=2Ω

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