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Question

Find the value of r so that maximum power is generated in external circuit.


A

r=10 Ω

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B

r=20 Ω

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C

r=30 Ω

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D

r=40 Ω

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Solution

The correct option is C

r=30 Ω


Lets consider some points in above section:
By symmetry we can remove junction forming at AC and BD.

Further, points A and B are equipotential and points C and D are also equipotential. And solving further, we will get:


And then,



Equivalent resistance across network:

=43r
For maximum power generation:
43r=40r=30 Ω


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