The Operation of a Transformer (AQA A Level Physics): Revision Note

Exam code: 7408

Katie M

Written by: Katie M

Reviewed by: Tim

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The transformer equation

  • A transformer is

    A device that changes high alternating voltage at low current to low alternating voltage at high current, and vice versa

  • This is designed to reduce heat energy lost whilst electricity is transmitted down electrical power lines from power stations to the national grid

  • A transformer is made up of:

    • a primary coil

    • a secondary coil

    • an iron core

  • The primary and secondary coils are wound around the soft iron core

    • The soft iron core is necessary because it focuses and directs the magnetic field from the primary to the secondary coil

    • Soft iron is used because it can easily be magnetised and demagnetised

A transformer showing primary and secondary coils wound around an iron core. Blue arrows show the magnetic field circulating through the iron core from the primary to the secondary coil.
A step-up transformer has more turns in the secondary coil than primary
  • In the primary coil, an alternating current producing an alternating voltage is applied

    • This creates an alternating magnetic field inside the iron core and therefore a changing magnetic flux linkage

  • A changing magnetic field passes through to the secondary coil through the iron core

    • This results in a changing magnetic flux linkage in the secondary coil and from Faraday's Law, an e.m.f is induced

  • An e.m.f produces an alternating output voltage from the secondary coil

  • The output alternating voltage is at the same frequency as the input voltage

  • The transformer equation is:

NsNp = VsVp

  • Where:

    • Ns = number of turns in the secondary coil

    • Np = number of turns in the primary coil

    • Vs = output voltage from the secondary coil (V)

    • Vp = input voltage in the primary coil (V)

  • There are two types of transformers:

    • step-up transformer (increases the voltage of the power source) where Ns > Np

    • step-down transformer (decreases the voltage of the power source) where Np > Ns

  • A step-up transformer is used between power stations and transmission wires

  • A step-down transformer is used between the transmission wires and buildings

Worked Example

A step-down transformer turns a primary voltage of 0.5 kV into a secondary voltage of 100 V. Calculate the number of turns needed in the secondary coil if the primary coil contains 3000 turns of wire.

[2]

Answer:

Step 1: List the known quantities

  • Primary voltage, Vp = 0.5 kV = 500 V

  • Secondary voltage, Vs = 100 V

  • Number of turns in the primary coil, Np = 3000

Step 2: Write the transformer equation

NsNp = VsVp

Step 3: Rearrange for number of turns in the secondary coil, Ns

Ns = NpVsVp

Step 4: Substitute in the values

Ns = 3000 × 100500 [1 mark]

Ns = 600 turns [1 mark]

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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.