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Capacitance

Energy, combinations and RC circuits

  • 3 things to know
  • A2 Unit 4 Section A

Overview

Recall questions on Energy, combinations and RC circuits.

What you need to know

Answer each one before you reveal it.

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Key term

How do capacitances combine in series and in parallel?

Key term

State the equation for the energy stored in a charged capacitor in terms of charge and potential difference.

Key term

Why is the stored energy ½QV rather than QV?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the equation for the energy stored in a charged capacitor in terms of charge and potential difference.

    Model answer

    U = ½QV.

  2. 2

    Why is the stored energy ½QV rather than QV?

    Model answer

    The potential difference rises from zero to V as the capacitor charges, so the average potential difference during charging is ½V.

  3. 3

    Calculate the energy stored in a 220 μF capacitor charged to 9.0 V.

    Model answer

    Q = CV = 220 × 10⁻⁶ × 9.0 = 1.98 × 10⁻³ C, so U = ½QV = 0.5 × 1.98 × 10⁻³ × 9.0 = 8.9 × 10⁻³ J.

  4. 4

    State the equation for the total capacitance of capacitors connected in parallel.

    Model answer

    C = C₁ + C₂ + …, the capacitances simply add.

  5. 5

    State the equation for the total capacitance of capacitors connected in series.

    Model answer

    1/C = 1/C₁ + 1/C₂ + ….

  6. 6

    Why do capacitors in parallel have a larger combined capacitance?

    Model answer

    Connecting them in parallel is equivalent to increasing the total plate area, and capacitance is proportional to area.

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