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What happens to the electric potential energy when a capacitor is disconnected f

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Question: What happens to the electric potential energy when a capacitor is disconnected from a battery and the plates are moved further apart? (2023)

Options:

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

Correct Answer: Increases

Exam Year: 2023

Solution:

When a capacitor is disconnected from a battery and the plates are moved further apart, the electric potential energy increases because the capacitance decreases while the charge remains constant.

What happens to the electric potential energy when a capacitor is disconnected f

Practice Questions

Q1
What happens to the electric potential energy when a capacitor is disconnected from a battery and the plates are moved further apart? (2023)
  1. Increases
  2. Decreases
  3. Remains the same
  4. Becomes zero

Questions & Step-by-Step Solutions

What happens to the electric potential energy when a capacitor is disconnected from a battery and the plates are moved further apart? (2023)
  • Step 1: Understand that a capacitor stores electric charge and energy.
  • Step 2: When a capacitor is connected to a battery, it charges up to a certain voltage and stores energy.
  • Step 3: Disconnect the capacitor from the battery. This means the charge on the plates stays the same.
  • Step 4: Moving the plates of the capacitor further apart decreases the capacitance. Capacitance is a measure of how much charge a capacitor can store per unit voltage.
  • Step 5: Since the charge remains constant and the capacitance decreases, the voltage across the capacitor must increase.
  • Step 6: The electric potential energy stored in the capacitor is given by the formula U = 1/2 * Q * V, where U is energy, Q is charge, and V is voltage.
  • Step 7: As the voltage increases (due to decreased capacitance), the electric potential energy also increases.
  • Capacitance – The ability of a capacitor to store charge, which is affected by the distance between the plates.
  • Electric Potential Energy – The energy stored in a capacitor, which is related to the charge and voltage across its plates.
  • Charge Conservation – The principle that the charge on the capacitor remains constant when it is disconnected from the battery.
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