Capacitance (AQA A Level Physics): Revision Note

Exam code: 7408

Katie M

Written by: Katie M

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Capacitance

  • Capacitors are electrical devices used to store energy in electronic circuits, commonly for a backup release of energy if the power fails

  • They are in the form of two conductive metal plates connected to a voltage supply (parallel plate capacitor)

    • There is commonly a dielectric in between the plates

    • This is to ensure charge does not freely flow between the plates

  • The capacitor circuit symbol is:

The circuit symbol for a capacitor: two short parallel lines with a gap between them.
The capacitor circuit symbol is two parallel lines
  • Capacitors are marked with a value of their capacitance

  • Capacitance is defined as:

    The charge stored per unit potential difference (between the plates)

  • The greater the capacitance, the greater the energy stored in the capacitor

  • The capacitance of a capacitor is defined by the equation:

C = QV

  • Where:

    • C = capacitance (F)

    • Q = charge (C)

    • V = potential difference (V)

A small capacitor of the kind used in electronic circuits, labelled “47 microfarads” and “450 volts” on its black casing.
Capacitors store energy in electronic circuits and are marked with their capacitance
  • Capacitance is measured in the unit Farad (F)

    • In practice, 1 F is a very large unit

    • Often it will be quoted in the order of micro Farads (μF), nanofarads (nF) or picofarads (pF)

  • If the capacitor is made of parallel plates, Q is the charge on the plates and V is the potential difference across the capacitor

    • The charge Q is not the charge of the capacitor itself

    • It is the charge stored on the plates

  • This capacitance equation shows that an object’s capacitance is the ratio of the charge stored by the capacitor to the potential difference between the plates

Worked Example

A parallel plate capacitor has a capacitance of 1 nF and is connected to a voltage supply of 0.3 kV. Calculate the charge on the plates.

[2]

Answer:

Step 1: Write down the known quantities

  • Capacitance, C = 1 nF = 1 × 10−9 F

  • Potential difference, V = 0.3 kV = 0.3 × 103 V

Step 2: Write out the equation for capacitance

C = QV

Step 3: Rearrange for charge Q

Q = CV

Step 4: Substitute in values

Q = (1 × 10−9) × (0.3 × 103) [1 mark]

Q = 3 × 10−7 C = 300 nC [1 mark]

Examiner Tips and Tricks

The ‘charge stored’ by a capacitor refers to the magnitude of the charge stored on each plate in a parallel plate capacitor or on the surface of a spherical conductor. The capacitor itself does not store charge. The letter ‘C’ is used both as the symbol for capacitance as well as the unit of charge (coulombs). Take care not to confuse the two!

Polar molecule in an electric field

  • A dielectric is made up of many polar molecules

    • These are molecules that have a 'positive' and 'negative' end (poles)

  • When no charge is applied to the capacitor:

    • There is no electric field between the parallel plates and the molecules are aligned in random directions

  • When there is a charge applied:

    • One of the parallel plates becomes positively charged and the other negatively charged hence an electric field is generated between the plates (from positive to negative)

    • The negative ends of the polar molecules are attracted to the positive plate and vice versa

    • This means all the molecules rotate and align themselves parallel to the electric field

Polar molecules between two charged plates. When no charge is applied, polar molecules are in random orientations. When a charge is applied, all molecules turn so their negative ends point towards the positive plate.
Polar molecules align themselves when an electric field is between two parallel plates

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Katie M

Author: Katie M

Expertise: Curriculum Expert

Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.

Tim

Reviewer: Tim

Expertise: Content Creator

Timothy graduated with a first class degree in Mathematics and Physics from the University of Warwick. After working as a postgraduate researcher, Timothy has worked as a content creator for various online revision platforms, creating physics resources for a range of levels and exam boards.