Question

A battery of internal resistance $4\Omega$ 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

• A. $\frac{4}{9}$
• B. $2$
• C. $\frac{8}{3}$
• D. $18$

Answer 1

The correct option is B $2$


From the above diagram, we can observe that, it is an example of balanced Wheatstone bridge.

$\therefore 6R$ can be removed.


So, simplified circuit will be


For the maximum power, external resistance is equal to internal resistance.
Therefore, $2R=4\Rightarrow R=2\Omega$

Hence, correct option is $\left(b\right).$