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Question

Potential difference across a battery is 9V. On connecting a 24Ω resistor across the terminals of the battery, the voltmeter reads 7.2 V. Calculate the internal resistance of the battery.


A

4Ω

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B

6Ω

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C

10Ω

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D

12Ω

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Solution

The correct option is B

6Ω


Given,
Potential energy, E = 9 V
Voltmeter reading, V = 7.2 V
Resistace, R=24 Ω
From relations E=I(R+r) and V = IR (Where, E= Potential difference across the battery, I = current, R = Resistance, R = Internal resistance)
r=(ϵV1)×R=(97.21)×24=6 Ω
Hence, the correct option is B.


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