First slide

Cell

Question

Two batteries, one of e.m.f. 18 volt and internal resistance 2 $Ω$ and the other of e.m.f. 12 volt and internal resistance 1C) are connected as shown in fig, The voltmeter V will record a reading of

Easy

A

7v
B

14 v
C

18 v
D

30 v

Solution

The voltmeter reading V is given by
$V = \frac{(E_{1} / r_{1}) + (E_{2} / r_{2})}{(1 / r_{1}) + (1 / r_{2})} = \frac{(18 / 2) + (12 / 1)}{(1 / 2) + (1 / 1)} = 14 volt .$

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