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A battery of internal resistance 4 Omega...

A battery of internal resistance `4 Omega` is connected to the network of resistance as shown. In order to give the maximum power to the network, the value of R should be-

A

`4//9`

B

`8//9`

C

2

D

18

Text Solution

Verified by Experts

The correct Answer is:
C
The equivalent circuit becomes a balanced wheatstone bridge
For maximum power transfer,external resistance should be equal to internal resistance of source
`rArr`  `((R+2R)(2R+4R))/((R+2R)(2R+4R))`=4i.s. `(3Rxx6R)/(3Rxx6R)`=4 or r=`2Omega`
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