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  • A battery of internal resistance  is connected to the network of resistances as shown in Figure. In ord

A battery of internal resistance 6 \Omega is connected to the network of resistances as shown in Figure. In order that the maximum power can be delivered to the network, the value of R in \Omega should be

Option: 1

1


Option: 2

2


Option: 3

3


Option: 4

4


Answers (1)

best_answer

  The given circuit is that of a Wheatstone bridge. 

The circuit is balanced one since

\frac{\text { Resistance across } \mathrm{AC}}{\text { resistance acrossAD }}=\frac{\text { resistance across CB }}{\text { resistance across BD }}

Thus, no current will flow across 6R of the side CD. The given circuit will now be equivalent to 

For maximum power, net external resistance = Total internal resistance.

\begin{aligned} & \Rightarrow 2 R=6 \\ & \Rightarrow R=3 \Omega \end{aligned}

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