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If a capacitor is charged to a voltage V and then disconnected from the power so

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Question: If a capacitor is charged to a voltage V and then disconnected from the power source, what happens to the charge on the capacitor over time?

Options:

  1. It remains constant
  2. It decreases exponentially
  3. It increases exponentially
  4. It becomes zero instantly

Correct Answer: It decreases exponentially

Solution: 

When a capacitor is disconnected from the power source, the charge decreases exponentially over time due to leakage.

If a capacitor is charged to a voltage V and then disconnected from the power so

Practice Questions

Q1
If a capacitor is charged to a voltage V and then disconnected from the power source, what happens to the charge on the capacitor over time?
  1. It remains constant
  2. It decreases exponentially
  3. It increases exponentially
  4. It becomes zero instantly

Questions & Step-by-Step Solutions

If a capacitor is charged to a voltage V and then disconnected from the power source, what happens to the charge on the capacitor over time?
  • Step 1: Understand that a capacitor stores electrical energy in the form of charge.
  • Step 2: When the capacitor is connected to a power source, it gets charged to a voltage V.
  • Step 3: Once the capacitor is fully charged, it is disconnected from the power source.
  • Step 4: After disconnection, the capacitor is isolated and no longer receives any energy.
  • Step 5: Over time, the charge on the capacitor starts to decrease.
  • Step 6: This decrease happens because of leakage, which is the slow escape of charge through the capacitor's materials.
  • Step 7: The rate of charge decrease is not constant; it follows an exponential pattern, meaning it drops quickly at first and then slows down.
  • Capacitor Discharge – The process by which a charged capacitor loses its stored charge over time when not connected to a power source.
  • Exponential Decay – The mathematical model describing how the charge decreases over time, typically characterized by a constant time constant.
  • Leakage Current – The small amount of current that can flow through the dielectric material of the capacitor, leading to a gradual loss of charge.
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