1. Tardigrade
  2. Question
  3. Physics
  4. In a potentiometer experiment two cells of emf E1 and E2 are used in series and in conjunction and the balancing length is found to be 58 cm of the wire. If the polarity of E2 is reversed, then the balancing length becomes 29 cm. The ratio E1/E2 of the emfs of the two cells is:

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. In a potentiometer experiment two cells of emf $ {{E}_{1}} $ and $ {{E}_{2}} $ are used in series and in conjunction and the balancing length is found to be 58 cm of the wire. If the polarity of $ {{E}_{2}} $ is reversed, then the balancing length becomes 29 cm. The ratio $ {{E}_{1}}/{{E}_{2}} $ of the emfs of the two cells is:

KEAMKEAM 2001

Solution:

$ {{E}_{1}}+{{E}_{2}}=k\times 58 $ ...(1)
$ {{E}_{1}}-{{E}_{2}}=k\times 29 $ ...(2)
$ \therefore $ $ \frac{{{E}_{1}}+{{E}_{2}}}{{{E}_{1}}-{{E}_{2}}}=2 $
$ \Rightarrow $ $ \frac{{{E}_{1}}}{{{E}_{2}}}=\frac{3}{1} $