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Capacitance (CIE A Level Physics)

Revision Note

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Ann H

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Ann H

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Physics

Defining Capacitance

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

 

  • The circuit symbol for a parallel plate capacitor is two parallel lines

 

Capacitor Circuit Symbol

Capacitor circuit symbol, downloadable AS & A Level Physics revision notes

The circuit symbol for a capacitor consists of two parallel lines perpendicular to the wires on either side

  

  • They can be in the form of:
    • An isolated spherical conductor
    • Parallel plates

  • Capacitors are marked with a value of their capacitance. This is defined as:

The charge stored per unit potential difference

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

 

Parallel Plate Capacitors

  • A parallel plate capacitor is made up of two conductive metal plates connected to a voltage supply
    • The negative terminal of the voltage supply pushes electrons onto one plate, making it negatively charged
    • The electrons are repelled from the opposite plate, making it positively charged
    • There is commonly a dielectric  in between the plates, this is to ensure charge does not freely flow between the plates

The Workings of a Parallel Plate Capacitor

Parallel plate capacitor diagram, downloadable AS & A Level Physics revision notes

A parallel plate capacitor is made up of two conductive plates with opposite charges building up on each plate

Exam Tip

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.

Calculating Capacitance

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

bold italic C bold space bold equals bold space bold Q over bold V

  • Where:
    • C = capacitance (F)
    • Q = charge (C)
    • V = potential difference (V)

  • It is measured in the unit Farad (F)
    • In practice, 1 F is a very large unit
    • Capacitance will often be quoted in the order of micro Farads (μF), nanofarads (nF) or picofarads (pF)

A Capacitor with a Capacitance of 47 μF

Capacitor, downloadable AS & A Level Physics revision notes

A capacitor used in small circuits looks like this

 

  • 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 or spherical conductor
  • This capacitance equation shows that an object’s capacitance is the ratio of the charge on an object to its potential

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.

 

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

 

bold italic C bold space bold equals bold space bold Q over bold V

 

Step 3: Rearrange for charge Q

Q = CV

Step 4: Substitute in values

Q = (1 × 10-9) × (0.3 × 103) = 3 × 10-7 C = 300 nC

Exam Tip

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!

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Ann H

Author: Ann H

Ann obtained her Maths and Physics degree from the University of Bath before completing her PGCE in Science and Maths teaching. She spent ten years teaching Maths and Physics to wonderful students from all around the world whilst living in China, Ethiopia and Nepal. Now based in beautiful Devon she is thrilled to be creating awesome Physics resources to make Physics more accessible and understandable for all students no matter their schooling or background.