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Capacitors

Energy stored by a capacitor

  • 3 things to know
  • Papers 1, 2 and 3

Overview

Recall questions on the p.d.-charge graph, the three expressions for stored energy, and uses of capacitors as energy stores.

What you need to know

Answer each one before you reveal it.

Your recallNot started
Numbers

What is the gradient of a p.d.–charge graph for a capacitor?

Numbers

State the formula for energy stored by a capacitor in terms of charge and potential difference.

Key term

On a graph of p.d. against charge for a capacitor, what shape is produced and where does it pass through?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    On a graph of p.d. against charge for a capacitor, what shape is produced and where does it pass through?

    Model answer

    A straight line through the origin

  2. 2

    What is the gradient of a p.d.–charge graph for a capacitor?

    Model answer

    1/C (the reciprocal of capacitance)

  3. 3

    How can the energy stored by a capacitor be determined from a p.d.–charge graph?

    Model answer

    The energy stored equals the area under the graph

  4. 4

    Why does the area under a p.d.–charge graph for a capacitor form a triangle?

    Model answer

    Because the graph is a straight line through the origin, the area between the line and the x-axis forms a triangular shape

  5. 5

    How is the formula W = ½QV derived from the p.d.–charge graph?

    Model answer

    The area under the graph is a triangle, so energy = ½ × base × height = ½ × Q × V = ½QV

  6. 6

    State the formula for energy stored by a capacitor in terms of charge and potential difference.

    Model answer

    W = ½QV

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