Current Electricity and Electrical InstrumentHard

Question

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

Options

A.
B.2
C.
D.18

Solution

The given circuit is balanced Wheatstone′s bridge.
   
Thus, no current will flow across 6 R of the side CD. The given circuit will now be equivalent to
   
For maximum power, next external resistance = Total internal resistance
or     2 R = 4
or     R = 2Ω.

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