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In a parallel plate capacitor, if the distance between the plates is doubled whi

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Question: In a parallel plate capacitor, if the distance between the plates is doubled while keeping the charge constant, what happens to the electric potential?

Options:

  1. It doubles
  2. It halves
  3. It remains the same
  4. It quadruples

Correct Answer: It doubles

Solution: 

The electric potential V is directly proportional to the distance d between the plates, so if d is doubled, V also doubles.

In a parallel plate capacitor, if the distance between the plates is doubled whi

Practice Questions

Q1
In a parallel plate capacitor, if the distance between the plates is doubled while keeping the charge constant, what happens to the electric potential?
  1. It doubles
  2. It halves
  3. It remains the same
  4. It quadruples

Questions & Step-by-Step Solutions

In a parallel plate capacitor, if the distance between the plates is doubled while keeping the charge constant, what happens to the electric potential?
  • Step 1: Understand what a parallel plate capacitor is. It consists of two plates that store electric charge.
  • Step 2: Know that the electric potential (V) is the energy per unit charge between the plates.
  • Step 3: Remember that the electric potential (V) is directly proportional to the distance (d) between the plates. This means if you change the distance, the potential changes in the same way.
  • Step 4: If the distance (d) between the plates is doubled, it means d becomes 2d.
  • Step 5: Since V is directly proportional to d, if d is doubled, then V also doubles.
  • Step 6: Conclude that when the distance between the plates is doubled while keeping the charge constant, the electric potential also doubles.
  • Electric Potential in Capacitors – The electric potential (V) in a parallel plate capacitor is given by the formula V = Q/C, where Q is the charge and C is the capacitance. The capacitance is inversely proportional to the distance (d) between the plates, leading to V being affected by changes in d.
  • Capacitance and Distance Relationship – Capacitance (C) of a parallel plate capacitor is given by C = ε₀(A/d), where A is the area of the plates and d is the distance between them. If d is doubled, capacitance is halved, affecting the potential.
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