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A capacitor is charged to a potential difference of 12V. If it is disconnected f

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Question: A capacitor is charged to a potential difference of 12V. If it is disconnected from the battery and the plates are moved apart, what happens to the potential difference? (2021)

Options:

  1. Increases
  2. Decreases
  3. Remains the same
  4. Becomes zero

Correct Answer: Increases

Exam Year: 2021

Solution: 

When the plates of a disconnected capacitor are moved apart, the capacitance decreases, leading to an increase in potential difference.

A capacitor is charged to a potential difference of 12V. If it is disconnected f

Practice Questions

Q1
A capacitor is charged to a potential difference of 12V. If it is disconnected from the battery and the plates are moved apart, what happens to the potential difference? (2021)
  1. Increases
  2. Decreases
  3. Remains the same
  4. Becomes zero

Questions & Step-by-Step Solutions

A capacitor is charged to a potential difference of 12V. If it is disconnected from the battery and the plates are moved apart, what happens to the potential difference? (2021)
  • Step 1: Understand that a capacitor stores electrical energy when connected to a battery, in this case at 12V.
  • Step 2: When the capacitor is disconnected from the battery, it retains the charge it had at 12V.
  • Step 3: Know that the capacitance of a capacitor depends on the distance between its plates.
  • Step 4: When the plates of the capacitor are moved apart, the capacitance decreases.
  • Step 5: Since the charge remains constant and capacitance decreases, the potential difference (voltage) across the capacitor must increase.
  • Step 6: Therefore, moving the plates apart increases the potential difference beyond 12V.
  • Capacitance and Potential Difference – The relationship between capacitance, charge, and potential difference in a capacitor, particularly how moving the plates affects these values.
  • Disconnection from Battery – Understanding that once a capacitor is disconnected from a battery, the charge remains constant while capacitance can change.
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