My Learning Cart
?
Categories
Account

A capacitor of capacitance C is connected to a battery of voltage V. If the batt

₹0.0
Login to Download
  • 📥 Instant PDF Download
  • ♾ Lifetime Access
  • 🛡 Secure & Original Content

What’s inside this PDF?

Question: A capacitor of capacitance C is connected to a battery of voltage V. If the battery is removed and the capacitor is connected to another capacitor of capacitance 2C, what is the final voltage across the combination?

Options:

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

Correct Answer: V/2

Solution: 

When the charged capacitor C is connected to an uncharged capacitor 2C, the final voltage is V_final = Q_total / C_eq = V/(1 + 1/2) = V/3.

A capacitor of capacitance C is connected to a battery of voltage V. If the batt

Practice Questions

Q1
A capacitor of capacitance C is connected to a battery of voltage V. If the battery is removed and the capacitor is connected to another capacitor of capacitance 2C, what is the final voltage across the combination?
  1. V/3
  2. V/2
  3. V
  4. 2V

Questions & Step-by-Step Solutions

A capacitor of capacitance C is connected to a battery of voltage V. If the battery is removed and the capacitor is connected to another capacitor of capacitance 2C, what is the final voltage across the combination?
Correct Answer: V/3
  • Step 1: Understand that a capacitor stores charge. When the capacitor of capacitance C is connected to a battery of voltage V, it gets charged to a voltage V.
  • Step 2: Calculate the charge (Q) on the capacitor C using the formula Q = C * V.
  • Step 3: When the battery is removed, the charge Q remains on the capacitor C.
  • Step 4: Now, connect the charged capacitor C to another uncharged capacitor of capacitance 2C.
  • Step 5: The total charge (Q_total) remains the same, which is Q = C * V.
  • Step 6: The two capacitors (C and 2C) are now in parallel, so we need to find the equivalent capacitance (C_eq). The formula for equivalent capacitance in parallel is C_eq = C + 2C = 3C.
  • Step 7: The final voltage (V_final) across the combination can be found using the formula V_final = Q_total / C_eq.
  • Step 8: Substitute Q_total = C * V and C_eq = 3C into the formula: V_final = (C * V) / (3C).
  • Step 9: Simplify the equation: V_final = V / 3.
  • Capacitance and Charge Distribution – Understanding how charge is distributed between capacitors when connected in parallel or series.
  • Voltage and Energy Conservation – Applying the principle of conservation of charge and energy when capacitors are connected.
Soulshift Feedback ×

On a scale of 0–10, how likely are you to recommend The Soulshift Academy?

Not likely Very likely
Home Practice Performance eBooks