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What is the capacitance (C) of a parallel plate capacitor with area A and separa

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

Options:

  1. C = ε * A / d
  2. C = A / (ε * d)
  3. C = ε * d / A
  4. C = A * d / ε

Correct Answer: C = ε * A / d

Solution:

The capacitance of a parallel plate capacitor is given by C = ε * A / d, where ε is the permittivity of the dielectric.

What is the capacitance (C) of a parallel plate capacitor with area A and separa

Practice Questions

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

Questions & Step-by-Step Solutions

What is the capacitance (C) of a parallel plate capacitor with area A and separation 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 (A) of one of the plates. This is the surface area of the plate.
  • Step 3: Determine the separation (d) between the two plates. This is the distance from one plate to the other.
  • Step 4: Know that ε (epsilon) is a constant called permittivity, which depends on the material between the plates (the dielectric).
  • Step 5: Use the formula for capacitance: C = ε * A / d. This means you multiply the permittivity (ε) by the area (A) and then divide by the distance (d).
  • Step 6: Calculate the capacitance (C) using the values you have for ε, A, and d.
  • Capacitance of Parallel Plate Capacitor – The capacitance (C) is determined by the area (A) of the plates, the separation distance (d) between them, and the permittivity (ε) of the dielectric material between the plates.
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