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Physics · University

Stored energy in an ideal capacitor

Convert microfarads to farads before using SI units. This is a paper exercise, not hardware guidance.

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Method and conditions

Convert microfarads to farads before using SI units. This is a paper exercise, not hardware guidance.

U = CV²/2

Worked examples

An ideal capacitor of 376 μF is at 9 V. Calculate its stored energy in millijoules. Round the final result to 4 decimal places if needed. Answer in mJ.

U = (376 × 10⁻⁶)(9)²/2 J. Multiply joules by 1000 for mJ.

15.228 mJ

An ideal capacitor of 152 μF is at 29 V. Calculate its stored energy in millijoules. Round the final result to 4 decimal places if needed. Answer in mJ.

U = (152 × 10⁻⁶)(29)²/2 J. Multiply joules by 1000 for mJ.

63.916 mJ

Try it

  1. An ideal capacitor of 443 μF is at 60 V. Calculate its stored energy in millijoules. Round the final result to 4 decimal places if needed. Answer in mJ.

  2. An ideal capacitor of 292 μF is at 72 V. Calculate its stored energy in millijoules. Round the final result to 4 decimal places if needed. Answer in mJ.

Check your work

Answers and marking notes
  1. 797.4 mJ

    U = (443 × 10⁻⁶)(60)²/2 J. Multiply joules by 1000 for mJ.

  2. 756.864 mJ

    U = (292 × 10⁻⁶)(72)²/2 J. Multiply joules by 1000 for mJ.

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