Question:
Two batteries of emfs $2\, V$ and $1 \,V$ of internal resistances $1 \Omega$ and $ 2 \, \Omega$ respectively are connected in parallel. The effective emf of the combination is
Two batteries of emfs $2\, V$ and $1 \,V$ of internal resistances $1 \Omega$ and $ 2 \, \Omega$ respectively are connected in parallel. The effective emf of the combination is
Updated On: Aug 1, 2022
- $\frac {3}{2} V$
- $\frac {5}{3} V$
- $\frac {3}{5} V$
- 2 V
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The Correct Option is B
Solution and Explanation
$ \, \, \, \, \, \, E_{eff} = \frac {E_1r_2 + E_2r_1}{r_1 + r_2 }$
$\frac {(2 \times 2) + (1 \times 1)} {(2 + 1)}$
$= \frac {4 + 1} {3} = \frac {5}{3}V$
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Concepts Used:
Cells
- A device that converts chemical energy into electrical energy is called an electric cell. To an electric circuit, the battery provides the constant electromotive force.
- Each cell comprises 2 half cells which are connected in series by a conductive electrolyte containing anions and cations:
- One-half cell is made up of electrolyte and a negative electrode called an anion.
- The other half cell is made up of electrolytes and a positive electrode called a cathode.
- Redox reactions take place simultaneously.
- While charging, cations are reduced at the cathode, and anions are oxidized at the anode.
- Electrodes do not join each other as they are electrically connected by the electrolyte.