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A battery of internal resistance 4Omega ...

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
.

A

`2 Omega`

B

`(8)/(3) Omega`

C

`18 Omega`

D

`(4)/(9) Omega`

Text Solution

Verified by Experts

The correct Answer is:
A

The network is a balanced Wheatstone's network.
`therefore` The resistance of `6 Omega` is not effective.
`therefore` The effective resistance of the network
`R'=(3Rxx6R)/(3R+6R)=2R`
For maximum power, internal resistance of the source= external resistance
`therefore 4 =2 R therefore R=2 Omega`
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