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In a parallel plate capacitor, if the area of the plates is doubled while keepin

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Question: In a parallel plate capacitor, if the area of the plates is doubled while keeping the separation constant, what happens to the capacitance?

Options:

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

Correct Answer: It doubles

Solution: 

Capacitance is directly proportional to the area of the plates. Doubling the area will double the capacitance.

In a parallel plate capacitor, if the area of the plates is doubled while keepin

Practice Questions

Q1
In a parallel plate capacitor, if the area of the plates is doubled while keeping the separation constant, what happens to the capacitance?
  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 area of the plates is doubled while keeping the separation constant, what happens to the capacitance?
  • Step 1: Understand what a parallel plate capacitor is. It consists of two plates that store electric charge.
  • Step 2: Know the formula for capacitance (C) of a parallel plate capacitor: C = ε * (A/d), where ε is the permittivity of the material between the plates, A is the area of the plates, and d is the separation between the plates.
  • Step 3: Identify what happens when the area (A) of the plates is doubled. If A becomes 2A, the formula becomes C = ε * (2A/d).
  • Step 4: Notice that doubling the area (A) directly affects the capacitance (C). Since C is proportional to A, if A is doubled, C will also double.
  • Step 5: Conclude that if the area of the plates is doubled while keeping the separation constant, the capacitance will also double.
  • Capacitance – Capacitance (C) of a parallel plate capacitor is given by the formula C = ε₀(A/d), where A is the area of the plates, d is the separation between them, and ε₀ is the permittivity of free space.
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