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Question

A battery of internal resistance 4 Ω 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(in Ω) 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 B 2
From maximum power transfer theorem,

External resistance = Internal resistance

Given, Rin=4 Ω

External resistance should also be 4 Ω (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=4 Ω

R=2 Ω

<!--td {border: 1px solid #ccc;}br {mso-data-placement:same-cell;}--> Hence, (B) is the correct answer.

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