My Learning Cart
?
Categories
Account

A capacitor is charged to a voltage of 12V and then disconnected from the batter

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

What’s inside this PDF?

Question: A capacitor is charged to a voltage of 12V and then disconnected from the battery. If the distance between the plates is doubled, what happens to the voltage across the capacitor? (2023)

Options:

  1. It remains the same
  2. It doubles
  3. It halves
  4. It becomes zero

Correct Answer: It doubles

Exam Year: 2023

Solution: 

When the distance between the plates is doubled, the capacitance decreases, which causes the voltage to double since Q remains constant.

A capacitor is charged to a voltage of 12V and then disconnected from the batter

Practice Questions

Q1
A capacitor is charged to a voltage of 12V and then disconnected from the battery. If the distance between the plates is doubled, what happens to the voltage across the capacitor? (2023)
  1. It remains the same
  2. It doubles
  3. It halves
  4. It becomes zero

Questions & Step-by-Step Solutions

A capacitor is charged to a voltage of 12V and then disconnected from the battery. If the distance between the plates is doubled, what happens to the voltage across the capacitor? (2023)
  • Step 1: Understand that a capacitor stores electrical energy and has two plates with a certain distance between them.
  • Step 2: Know that when a capacitor is charged to a voltage (in this case, 12V), it holds a certain amount of charge (Q).
  • Step 3: Remember that when the capacitor is disconnected from the battery, the charge (Q) on the plates remains constant.
  • Step 4: Recognize that the capacitance (C) of a capacitor is affected by the distance (d) between the plates. If the distance is doubled, the capacitance decreases.
  • Step 5: Use the formula for voltage (V) across a capacitor: V = Q / C. Since Q is constant and C decreases, V must increase.
  • Step 6: Conclude that if the distance between the plates is doubled, the voltage across the capacitor will double from 12V to 24V.
  • Capacitance and Voltage Relationship – The relationship between capacitance (C), charge (Q), and voltage (V) in a capacitor, where V = Q/C.
  • Effect of Plate Separation – Doubling the distance between capacitor plates decreases capacitance, affecting the voltage across the capacitor when charge is constant.
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