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

Question

Two batteries, one of emf 18 volts and internal resistance 2 Ω and the other of emf 12 volts and internal resistance 1 Ω are connected as shown. The voltmeter V will record a reading of (A) 30 volt (B) 18 volt (C) 15 volt (D) 14 volt

Tardigrade Admin · Accepted Answer

Since, the batteries are connected in parallel, V =( E 1 r 2+ E 2 r 1/ r 1+ r 2) V =(18 × 1+12 × 2/1+2) V =14 V olt

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

30 volt

18 volt

15 volt

14 volt

Since, the batteries are connected in parallel,
$V = \frac{E _{1} r _{2} + E _{2} r _{1}}{r _{1} + r _{2}}$
$V = \frac{18 \times 1 + 12 \times 2}{1 + 2}$
$V = 14 V$ olt

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