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Electric and Magnetic Fields

Capacitance and the energy stored in a capacitor

  • 2 things to know
  • Papers 1 and 3

Overview

Recall questions on the definition of capacitance and the farad, why Q/V is constant, and the three expressions for the energy stored.

What you need to know

Answer each one before you reveal it.

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Numbers

How are capacitance and the farad defined, and why are practical capacitors rated in microfarads or smaller?

Numbers

Why is the ratio Q/V constant for a capacitor, what happens to the charge if the potential difference falls to a third, and what do the gradients of V-Q and Q-V graphs give?

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    How is capacitance defined?

    Model answer

    It is the charge stored per unit potential difference across the capacitor, C = Q/V.

  2. 2

    What is the unit of capacitance and how is it defined?

    Model answer

    The farad, F, where one farad is one coulomb of charge stored per volt of potential difference.

  3. 3

    Why are practical capacitors usually rated in microfarads or smaller?

    Model answer

    Because the farad is a very large unit, so everyday capacitors have values of the order of μF, nF or pF.

  4. 4

    What is meant by the charge stored on a capacitor, given that its two plates carry opposite charge?

    Model answer

    It means the magnitude of the charge on one plate, since the plates carry equal and opposite amounts.

  5. 5

    Why is the ratio Q/V constant for a given capacitor?

    Model answer

    Because the charge stored is directly proportional to the potential difference across it, so their ratio is fixed by the capacitor's construction.

  6. 6

    What shape is a graph of potential difference against charge stored for a capacitor?

    Model answer

    It is a straight line through the origin, with a gradient equal to 1/C.

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