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A capacitor of capacitance C is charged to a voltage V and then connected to ano

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Question: A capacitor of capacitance C is charged to a voltage V and then connected to another uncharged capacitor of capacitance C. What is the final voltage across both capacitors?

Options:

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

Correct Answer: V/2

Solution: 

When connected, charge redistributes between the two capacitors, resulting in a final voltage of V/2 across each.

A capacitor of capacitance C is charged to a voltage V and then connected to ano

Practice Questions

Q1
A capacitor of capacitance C is charged to a voltage V and then connected to another uncharged capacitor of capacitance C. What is the final voltage across both capacitors?
  1. V/2
  2. V
  3. 2V
  4. 0

Questions & Step-by-Step Solutions

A capacitor of capacitance C is charged to a voltage V and then connected to another uncharged capacitor of capacitance C. What is the final voltage across both capacitors?
Correct Answer: V/2
  • Step 1: Understand that a capacitor stores electrical charge. The first capacitor has a capacitance C and is charged to a voltage V.
  • Step 2: Calculate the initial charge (Q) on the first capacitor using the formula Q = C * V.
  • Step 3: When the charged capacitor is connected to the uncharged capacitor, the total charge (Q) will be shared between both capacitors.
  • Step 4: The total capacitance when two capacitors of the same capacitance C are connected in parallel is C_total = C + C = 2C.
  • Step 5: The final voltage (V_final) across both capacitors can be found using the formula V_final = Q / C_total.
  • Step 6: Substitute the values: V_final = (C * V) / (2C).
  • Step 7: Simplify the equation: V_final = V / 2.
  • Step 8: Conclude that the final voltage across both capacitors is V/2.
  • Capacitor Charging and Discharging – Understanding how charge redistributes when capacitors are connected in parallel.
  • Voltage Division in Capacitors – Applying the principle of voltage division to find the final voltage across capacitors.
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