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What is the formula for the capacitance of a parallel plate capacitor?

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Question: What is the formula for the capacitance of a parallel plate capacitor?

Options:

  1. C = εA/d
  2. C = A/εd
  3. C = d/εA
  4. C = εd/A

Correct Answer: C = εA/d

Solution:

The capacitance C of a parallel plate capacitor is given by the formula C = εA/d, where ε is the permittivity, A is the area of the plates, and d is the separation between them.

What is the formula for the capacitance of a parallel plate capacitor?

Practice Questions

Q1
What is the formula for the capacitance of a parallel plate capacitor?
  1. C = εA/d
  2. C = A/εd
  3. C = d/εA
  4. C = εd/A

Questions & Step-by-Step Solutions

What is the formula for the capacitance of a parallel plate capacitor?
  • Step 1: Understand that a parallel plate capacitor consists of two flat plates that are parallel to each other.
  • Step 2: Know that the capacitance (C) is a measure of how much electric charge the capacitor can store.
  • Step 3: Identify the variables in the formula: ε (epsilon) is the permittivity of the material between the plates, A is the area of one of the plates, and d is the distance between the two plates.
  • Step 4: The formula for the capacitance of a parallel plate capacitor is C = εA/d.
  • Step 5: Remember that a larger area (A) or a smaller distance (d) will increase the capacitance (C).
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