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If a capacitor of capacitance C is charged to a voltage V, what is the energy st

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Question: If a capacitor of capacitance C is charged to a voltage V, what is the energy stored in the capacitor?

Options:

  1. 1/2 CV^2
  2. CV
  3. V^2 / C
  4. C / V

Correct Answer: 1/2 CV^2

Solution:

The energy (U) stored in a capacitor is given by the formula U = 1/2 CV^2.

If a capacitor of capacitance C is charged to a voltage V, what is the energy st

Practice Questions

Q1
If a capacitor of capacitance C is charged to a voltage V, what is the energy stored in the capacitor?
  1. 1/2 CV^2
  2. CV
  3. V^2 / C
  4. C / V

Questions & Step-by-Step Solutions

If a capacitor of capacitance C is charged to a voltage V, what is the energy stored in the capacitor?
Correct Answer: U = 1/2 CV^2
  • Step 1: Understand that a capacitor is a device that stores electrical energy.
  • Step 2: Know that the capacitance (C) is a measure of how much charge a capacitor can store per unit voltage.
  • Step 3: Recognize that voltage (V) is the electrical potential difference across the capacitor.
  • Step 4: Learn the formula for the energy (U) stored in a capacitor, which is U = 1/2 CV^2.
  • Step 5: Identify that in this formula, you multiply the capacitance (C) by the square of the voltage (V^2) and then multiply the result by 1/2.
  • Capacitance and Energy Storage – Understanding the relationship between capacitance, voltage, and the energy stored in a capacitor.
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