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What is the capacitance of a parallel plate capacitor with area A and separation

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Question: What is the capacitance of a parallel plate capacitor with area A and separation d?

Options:

  1. ε₀ * A / d
  2. A / (ε₀ * d)
  3. d / (ε₀ * A)
  4. ε₀ * d / A

Correct Answer: ε₀ * A / d

Solution:

The capacitance C of a parallel plate capacitor is given by the formula C = ε₀ * A / d, where ε₀ is the permittivity of free space.

What is the capacitance of a parallel plate capacitor with area A and separation

Practice Questions

Q1
What is the capacitance of a parallel plate capacitor with area A and separation d?
  1. ε₀ * A / d
  2. A / (ε₀ * d)
  3. d / (ε₀ * A)
  4. ε₀ * d / A

Questions & Step-by-Step Solutions

What is the capacitance of a parallel plate capacitor with area A and separation d?
Correct Answer: C = ε₀ * A / d
  • Step 1: Understand that a parallel plate capacitor consists of two flat plates that are parallel to each other.
  • Step 2: Identify the area of the plates as A and the distance between the plates as d.
  • Step 3: Know that the capacitance (C) is a measure of how much electric charge the capacitor can store.
  • Step 4: Learn the formula for capacitance of a parallel plate capacitor: C = ε₀ * A / d.
  • Step 5: Recognize that ε₀ (epsilon naught) is a constant called the permittivity of free space, which helps in calculating capacitance.
  • Step 6: Plug in the values of A (area) and d (separation) into the formula to find the capacitance.
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