Current Electricity - Result Question 55

58. Two batteries, one of emf 18 volt and internal

resistance $2 \Omega$ and the other of emf 12 volt and internal resistance $1 \Omega$, are connected as shown. The voltmeter $V$ will record a reading of

(a) 30 volt

(b) 18 volt

(c) 15 volt

(d) 14 volt

[2005]

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Answer:

Correct Answer: 58. (d)

Solution:

(d) $V=\frac{\frac{E_1}{r_1}+\frac{E_2}{r_2}}{\frac{1}{r_1}+\frac{1}{r_2}}=\frac{\frac{18}{2}+\frac{12}{1}}{\frac{1}{2}+\frac{1}{1}}=14 V$

(Since the cells are in parallel).