A battery of internal resistance 4Ω is connected to a network of resistances as shown in the figure. In order that the maximum power can be delivered to the network, the value of R(inΩ) should be-
A
49
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B
2
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C
83
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D
18
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Solution
The correct option is B2 From maximum power transfer theorem,
External resistance = Internal resistance
Given, Rin=4Ω
∴ External resistance should also be 4Ω…(1)
The network of resistances, connected across the battery, is actually a Wheatstone bridge in balanced condition.
∴Req=3R×6R3R+6R=3R×6R9R=2R......(2)
For maximum power, 2R=4Ω
⇒R=2Ω
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Hence, (B) is the correct answer.