A battery of 10 V and internal resistance 0.5Ω is connected

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A battery of 10 V and internal resistance 0.5Ω is connected across a variable resistance R. The value of R for which the power delivered is maximum is equal to

1. 0.25Ω
2. 0.5Ω
3. 1.0Ω
4. 2.0Ω

Correct Option: B

Power is maximum when r = R, R = r = 0.5Ω.