A battery of internal resistance 4Ω is connected to the network of resistances

Question

A battery of internal resistance

4 Ω

is connected to the network of resistances as shown. In order to give the maximum power to the network, the value of R (in

Ω

) should be

Options:

A . 49

B . 89

C . 2

D . 18

Answer: Option C
:
C
The equivalent circuit becomes a balanced wheatstone bridge

For maximum power transfer, external resistance should be equal to internal resistance of source

\Rightarrow \frac{(R + 2 R) (2 R + 4 R)}{(R + 2 R) + (2 R + 4 R)} = 4

i.e.

\frac{3 R \times 6 R}{3 R + 6 R} = 4

R = 2 Ω

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