Question:
A battery of emf $10\, V$ and internal resistance $3\, \Omega$ is connected to a resistor. The current in the circuit is $0.5\, A$. The terminal voltage of the battery when the circuit is closed is
A battery of emf $10\, V$ and internal resistance $3\, \Omega$ is connected to a resistor. The current in the circuit is $0.5\, A$. The terminal voltage of the battery when the circuit is closed is
Updated On: Jul 5, 2022
- 10 V
- 0 V
- 1.5 V
- 8.5 V
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The Correct Option is D
Solution and Explanation
Terminal voltage of the battery after closing the circuit is
$V = E-ir $
$= 10-0.5\times 3 $
$=10-1.5 $
$=8.5\,V$
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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.