Parallel Combination of Batteries and Voltmeter Reading – Rankers Physics
Topic: Current Electricity
Subtopic: Combination of Batteries

Parallel Combination of Batteries and Voltmeter Reading

Two batteries one of emf \(18\text{ V}\) and internal resistance \(3\text{ }\Omega\) while other of emf \(12\text{ V}\) and internal resistance \(2\text{ }\Omega\) are connected in parallel with positive terminals together at one point and negative terminals together to other point. If across these points an ideal voltmeter is connected, the reading of voltmeter will be
16 V
14.4 V
15.3 V
12.6 V

Solution:

The potential difference is the equivalent EMF: \(E_{\text{eq}} = \frac{E_1/r_1 + E_2/r_2}{1/r_1 + 1/r_2} = \frac{18/3 + 12/2}{1/3 + 1/2} = \frac{12}{5/6} = 14.4\text{ V}\).

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