Current Electricity 2 Question 18
18. 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
(1995, 2M)
(a) $\frac{4}{9}$
(b) 2
(c) $\frac{8}{3}$
(d) 18
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Solution:
- The given circuit is a balanced Wheatstone’s bridge.
Thus, no current will flow across $6 R$ of the side $C D$. The given circuit will now be equivalent to
For maximum power, net external resistance
$=$ Total internal resistance or