First slide

voltmeter

Question

Two batteries, one of emf 18 volt and internal resistance 2 $Ω$ and the other of emf 12 volt and internal resistance 1 $Ω$ , are connected as shown. The voltmeter V will record a reading of :

Easy

A

18 volt
B

30 volt
C

14 volt
D

15 volt

Solution

Reading of voltmeter = $\frac{\frac{E_{1}}{r_{1}} + \frac{E_{2}}{r_{2}}}{\frac{1}{r_{1}} + \frac{1}{r_{2}}} = \frac{E_{1} r_{2} + E_{2} r_{1}}{r_{1} + r_{2}} = 14 volt$

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