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A battery of internal resistance `4Omega` is connected to the network of resistance as shown . In order that the maximum power can be delivered to the network, the value of R in `Omega` should be
image.
A. `(4)/(9)`
B. 2
C. `(8)/(3)`
D. 18

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Correct Answer - B
(b) This is balanced wheat stone bridge
Form maximum power transfer theorem
Internal resistance = External resistance
`implies 4 = (3 R xx 6R)/(3R + 6 R) implies 4 = 2 R implies R = 2 Omega`
image

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