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:

  1. 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



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