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
.

Options

A. `4/9`
B. `2`
C. `8/3`
D. `18`

Answer

B

Explanation

(b) The equivalent circuits are shown in the figure.


The circuit represents balanced Wheatstone Bridege.
Hence 6R Omega resistance is ineffective.
`1/(R_eq) = 1/(3R) + 1/(6R), R_(eq) = ((3R)(6R))/((3R) + (6R)) = 2R`
For Max. Power
External Resistance = Internal Resistance.
`2R = 4Omega :. R = 2Omega` .