The Transformer Equation (Edexcel GCSE Physics)

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The Transformer Equation

Higher Tier Only

  • The output potential difference (voltage) of a transformer depends on:
    • The number of turns on the primary and secondary coils
    • The input potential difference (voltage)

  • It can be calculated using the equation:

  • This equation can be written using symbols as follows:

  • Where:
    • Vp = potential difference (voltage) across the primary coil in volts (V)
    • Vs = potential difference (voltage) across the secondary coil in volts (V)
    • np = number of turns on the primary coil
    • ns = number of turns on the secondary coil

  • The equation above can be flipped upside down to give:

  • The equations above show that:
    • The ratio of the potential differences across the primary and secondary coils of a transformer is equal to the ratio of the number of turns on each coil

Worked example

A transformer has 20 turns on the primary coil and 800 turns on the secondary coil. The input potential difference across the primary coil is 500 V.

a) Calculate the output potential difference

b) State what type of transformer this is

 

Examiner Tip

When you are using the transformer equation make sure you have used the same letter (p or s) in the numerators (top line) of the fraction and the same letter (p or s) in the denominators (bottom line) of the fraction. 

There will be less rearranging to do in a calculation if the variable which you are trying to find is on the numerator (top line) of the fraction.

The individual loops of wire going around each side of the transformer should be referred to as turns and not coils.

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Ashika

Author: Ashika

Expertise: Physics Project Lead

Ashika graduated with a first-class Physics degree from Manchester University and, having worked as a software engineer, focused on Physics education, creating engaging content to help students across all levels. Now an experienced GCSE and A Level Physics and Maths tutor, Ashika helps to grow and improve our Physics resources.