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If a capacitor is charged to a voltage of 20 V and then connected in parallel wi

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Question: If a capacitor is charged to a voltage of 20 V and then connected in parallel with another uncharged capacitor of the same capacitance, what is the new voltage across both capacitors?

Options:

  1. 10 V
  2. 20 V
  3. 30 V
  4. 40 V

Correct Answer: 10 V

Solution: 

When two identical capacitors are connected in parallel, the charge is shared equally. The new voltage is halved: 20 V / 2 = 10 V.

If a capacitor is charged to a voltage of 20 V and then connected in parallel wi

Practice Questions

Q1
If a capacitor is charged to a voltage of 20 V and then connected in parallel with another uncharged capacitor of the same capacitance, what is the new voltage across both capacitors?
  1. 10 V
  2. 20 V
  3. 30 V
  4. 40 V

Questions & Step-by-Step Solutions

If a capacitor is charged to a voltage of 20 V and then connected in parallel with another uncharged capacitor of the same capacitance, what is the new voltage across both capacitors?
  • Step 1: Understand that a capacitor stores electrical charge and has a voltage across it.
  • Step 2: Note that the first capacitor is charged to a voltage of 20 V.
  • Step 3: Recognize that the second capacitor is uncharged and has the same capacitance as the first one.
  • Step 4: When the two capacitors are connected in parallel, they share the total charge.
  • Step 5: Since both capacitors are identical, the charge will be equally distributed between them.
  • Step 6: Calculate the new voltage by dividing the original voltage by 2: 20 V / 2 = 10 V.
  • Step 7: Conclude that the new voltage across both capacitors is 10 V.
  • Capacitor Charging and Voltage Division – Understanding how capacitors share charge and how voltage is affected when connected in parallel.
  • Parallel Capacitor Behavior – Recognizing that in parallel configurations, the voltage across each capacitor remains the same, while charge is distributed.
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