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Question

A battery of internal resistance 4 Ω is connected to the network of resistance as shown. If the maximum power can be delivered to the network, the value of R in Ω should be

A
4/9
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B
2
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C
8/3
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D
18
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Solution

The correct option is B 2
The equivalent circuit are as shown in the figure
This circuit represents Wheatstone Bridge. So, this 6R resistance is ineffective.
Now the equvalent resistance will be,
1Req=1(2R+4R)+1(R+2R)
1Req=16R+13R=1+26R
Req=2R
For maximun power,
External resistance = Internal resistance
2R=4
R=2 Ω

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