Two batteries, one of emf 18 volts and internal resistance $2 \Omega$ and the other of emf 12 volts and…

Two batteries, one of emf 18 volts and internal resistance $2 \Omega$ and the other of emf 12 volts and internal resistance $1 \Omega$, are connected as shown. The voltmeter $V$ will record a reading of:
  1. 30 volt
  2. 18 volt
  3. 15 volt
  4. 14 volt

Solution

Reading of voltmeter $=\frac{\frac{E_1}{r_1}+\frac{E_2}{r_2}}{\frac{1}{r_1}+\frac{1}{r_2}}=\frac{E_1 r_2+E_2 r_1}{r_1+r_2}$ Putting value we get 14 volt.

Asked in: NEET 2005

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