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Electric and Magnetic Fields

Capacitor charge and energy calculations

  • 3 things to know
  • Papers 1 and 3

Overview

Recall questions on finding charge and energy for a given capacitor and potential difference, the effect of doubling the potential difference, and why the supply delivers more than is stored.

What you need to know

Answer each one before you reveal it.

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Process

How much energy is stored by a 470 μF capacitor charged to 12 V?

Process

How much energy is stored by a 2200 μF capacitor charged to 9.0 V?

Process

A 100 μF capacitor holds a charge of 6.0 mC. How much energy is stored?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    A 470 μF capacitor is charged to 12 V. What charge does it store?

    Model answer

    Q = CV = 470 × 10⁻⁶ × 12 = 5.6 × 10⁻³ C.

  2. 2

    How much energy is stored by a 470 μF capacitor charged to 12 V?

    Model answer

    W = ½CV² = 0.5 × 470 × 10⁻⁶ × 12² = 3.4 × 10⁻² J.

  3. 3

    How much energy is stored by a 2200 μF capacitor charged to 9.0 V?

    Model answer

    W = ½CV² = 0.5 × 2200 × 10⁻⁶ × 9.0² = 8.9 × 10⁻² J.

  4. 4

    A 100 μF capacitor holds a charge of 6.0 mC. How much energy is stored?

    Model answer

    W = Q²/(2C) = (6.0 × 10⁻³)² ÷ (2 × 100 × 10⁻⁶) = 0.18 J.

  5. 5

    A capacitor is charged to twice its previous potential difference. By what factor does the stored energy change?

    Model answer

    It increases by a factor of four, because the energy is proportional to V² at constant capacitance.

  6. 6

    Two capacitors are charged to the same potential difference but one has twice the capacitance of the other. How do their stored energies compare?

    Model answer

    The one with twice the capacitance stores twice the energy, because W = ½CV² is proportional to C at fixed V.

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