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 $2\Omega$ should be

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

Answer 1

Answer: (B)

2

Answer 2

The given circuit is a balanced Wheatstone's bridge.
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
or 2R = 4 or R = $2\Omega$