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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
4/9
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B
8/9
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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 network is

Clearly, the network of resistance is a balanced Wheatstone bridge .So RAE is given by
1RAE=13R+16R=2+16R=12R RAE=2R
For maximum power transfer 2R=4Ω R=42=2Ω


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