A battery of internal resistance 4 Ω is connected to the network of resistances as shown in the figure. In order that the maximum power be delivered to the network, the value of R (in Ω ) should be

Question

A battery of internal resistance 4 Ω is connected to the network of resistances as shown in the figure. In order that the maximum power be delivered to the network, the value of R (in Ω ) should be

TestHub · Accepted Answer

The given circuit is a balanced Wheatstone's bridge.



Thus, no current will flow across $6 R$ . The given circuit will now be equivalent to:-



For maximum power, net external resistance = Total internal resistance
or $2 R = 4 Ω$
or $R = 2 Ω$

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