Moderate

A 20𝜇F capacitor is charged 200 V. Its stored energy is:

Correct answer: C. 0.4 J

  • A. 4000 J
  • B. 4 J
  • C. 0.4 J
  • D. 2000 J

Explanation

The energy stored in a capacitor can be calculated using the formula E = 0.5 * C * V^2. Here, C is the capacitance in farads, and V is the voltage. Given that C = 20μF (which is 20 × 10^-6 F) and V = 200 V, we can substitute these values into the formula:E = 0.5 * (20 × 10^-6) * (200^2) = 0.5 * (20 × 10^-6) * 40000 = 0.5 * 0.8 = 0.4 J.Thus, the correct answer is 0.4 J. The other options are incorrect because they either vastly overestimate or underestimate the energy based on the formula and the given values.

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About Electrostatics

Electrostatics describes forces between charges through Coulomb's law, electric fields and field intensity, then uses electric potential to measure energy per unit charge. Capacitors store charge and electrical energy, with capacitance depending on geometry and dielectric material, not simply on the amount of charge present.

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