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A battery of e.m.f. 6·0 V supplies current through a circuit in which the resistance can be changed. A high resistance voltmeter is connected across the battery. When the current is 3 A, - Physics

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Question

A battery of e.m.f. 6·0 V supplies current through a circuit in which the resistance can be changed. A high resistance voltmeter is connected across the battery. When the current is 3 A, the voltmeter reads 5.4 V. Find the internal resistance of the battery.

Numerical

Solution

Since a battery's terminal potential difference is less than its e.m.f., an increase in circuit current causes the voltmeter reading to fall.

Now E = 6.0 V,

V = 5.4 V,

I = 3.0 A

Internal resistance r = E-VI

= 6-5.43.0

= 0.31.5

r = 0.2 Ω

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