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What is the total energy stored in a 10 µF capacitor charged to 20 V?

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Question: What is the total energy stored in a 10 µF capacitor charged to 20 V?

Options:

  1. 2 J
  2. 0.02 J
  3. 0.2 J
  4. 0.5 J

Correct Answer: 0.2 J

Solution: 

U = 0.5 * C * V^2 = 0.5 * (10 x 10^-6 F) * (20 V)^2 = 0.02 J.

What is the total energy stored in a 10 µF capacitor charged to 20 V?

Practice Questions

Q1
What is the total energy stored in a 10 µF capacitor charged to 20 V?
  1. 2 J
  2. 0.02 J
  3. 0.2 J
  4. 0.5 J

Questions & Step-by-Step Solutions

What is the total energy stored in a 10 µF capacitor charged to 20 V?
Correct Answer: 0.02 J
  • Step 1: Identify the formula for the energy stored in a capacitor, which is U = 0.5 * C * V^2.
  • Step 2: Identify the values given in the problem: C (capacitance) = 10 µF (microfarads) and V (voltage) = 20 V.
  • Step 3: Convert the capacitance from microfarads to farads: 10 µF = 10 x 10^-6 F.
  • Step 4: Substitute the values into the formula: U = 0.5 * (10 x 10^-6 F) * (20 V)^2.
  • Step 5: Calculate (20 V)^2, which is 400 V^2.
  • Step 6: Multiply 0.5 * (10 x 10^-6 F) * 400 V^2.
  • Step 7: Calculate the result: 0.5 * 10 x 10^-6 * 400 = 0.02 J.
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