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If a capacitor is charged to a voltage V and then connected in parallel with an

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Question: If a capacitor is charged to a voltage V and then connected in parallel with an uncharged capacitor, what will be the final voltage across both capacitors?

Options:

  1. V
  2. V/2
  3. 2V
  4. 0

Correct Answer: V/2

Solution: 

When connected in parallel, charge redistributes, and the final voltage across both capacitors will be V/2.

If a capacitor is charged to a voltage V and then connected in parallel with an

Practice Questions

Q1
If a capacitor is charged to a voltage V and then connected in parallel with an uncharged capacitor, what will be the final voltage across both capacitors?
  1. V
  2. V/2
  3. 2V
  4. 0

Questions & Step-by-Step Solutions

If a capacitor is charged to a voltage V and then connected in parallel with an uncharged capacitor, what will be the final voltage across both capacitors?
  • Step 1: Understand that a capacitor stores electrical charge and has a voltage across it.
  • Step 2: When the charged capacitor (with voltage V) is connected in parallel to an uncharged capacitor, they share the charge.
  • Step 3: The total charge from the charged capacitor is Q = C * V, where C is the capacitance of the charged capacitor.
  • Step 4: After connecting, the total capacitance of the two capacitors in parallel is C_total = C1 + C2, where C1 is the capacitance of the charged capacitor and C2 is the capacitance of the uncharged capacitor.
  • Step 5: The charge Q is now distributed across both capacitors, so the final voltage V_final can be calculated using the formula V_final = Q / C_total.
  • Step 6: Since the uncharged capacitor starts with zero charge, the final voltage across both capacitors will be V_final = (C * V) / (C + C) = V / 2.
  • Capacitor Charging and Voltage Distribution – Understanding how charge redistributes when capacitors are connected in parallel and how this affects the voltage across them.
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