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Question

A cell of emf 1.5 V having a finite internal resistance is connected to a load resistance of 2 Ω. For maximum power transfer, the internal resistance of the cell should be

A
4 Ω
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B
0.5 Ω
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C
2 Ω
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D
None of these
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Solution

The correct option is C 2 Ω

Given, Rl=2 Ω
total current (i)=1.52+r
Pmax=i2R
Pmax=2×1.52(r+2)2
Using maximum power transformation theorem, in a circuit a maximum power flows when internal resistance will be equals to load resistance.
Hence, r=R=2 Ω

So, option C is correct.

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