Transformer Inefficiencies (AQA A Level Physics): Revision Note

Exam code: 7408

Katie M

Written by: Katie M

Reviewed by: Caroline Carroll

Updated on

Inefficiencies in a Transformer

  • Inefficiencies in a transformer appear not from just the core, but also in the wires

  • The coils of wire have resistance

    • This causes heat energy to be lost from the current flowing through the coils

    • The larger the current, the greater the amount of heat energy lost

  • In the core, the inefficiencies appear from:

    • Induced eddy currents

    • The reversal of magnetism

    • Poor insulation between the primary and secondary coil

  • Ways to reduce energy loss in a transformer are:

    • Making the core from soft iron or iron alloys to allow easy magnetisation and demagnetisation and reduce hysteresis loss

    • Laminating the core

    • Using thick wires, especially in the secondary coil of step-down transformers

    • Using a core that allows all the flux due to the primary coil to be linked to the secondary coil

Power Loss in Transmission Lines

  • Energy losses due to the heating of transmission lines in the National Grid are significant

  • This is because the electrical energy is transmitted across long distances from power stations to buildings

    • This is not just within the UK, but also to other countries such as France and the Netherlands

  • Transformers are used to step up the voltage generated in power stations

  • Since power transmitted is the product of the voltage and current, stepping up the voltage reduces the current

    • Smaller currents have a smaller heating effect on the wires

    • This reduces energy loss to the surroundings from the wires

    • Therefore, this improves the efficiency of the electrical energy and power transmitted through the wires

  • Power losses from the current are calculated using the equation:

P = I2R

  • Where:

    • P = power (W)

    • I = current (A)

    • R = resistance (Ω)

 

  • The equation shows that:

    • PI2

    • This means doubling the current produces four times the power loss

  • Therefore, step-up transformers are used to increase the voltage which decreases the current through transmission lines

    • This reduces the overall heat energy lost in the wires during transmission

  • A step-down transformer is then used to decrease the voltage to that required in homes and buildings

Power Loss National Grid, downloadable AS & A Level Physics revision notes

The use of step-up and step-down transformers in the National Grid

Worked Example

A current of 2500 A is transmitted through 150 km of cables. The resistance of the transmission cable is 0.15 Ω per km. Calculate the power wasted.

Answer:

Step 1: List the known quantities

  • Current, I = 2500 A

    • Length of cables, L = 150 km = 150 × 103 m

    • Resistance of the cables, R = 0.15 Ω km-1

Step 2: Write out the power equation

P = I2R

Step 3: Determine the total resistance, R

R = Resistance of the wires × Length of wires

R = 0.15 × 150

Step 4: Substitute values into the power equation

Power lost = (2500)2 × (0.15 × 150) = 141 MW

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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.

Caroline Carroll

Reviewer: Caroline Carroll

Expertise: Head of Content Delivery

Caroline graduated from the University of Nottingham with a degree in Chemistry and Molecular Physics. She spent several years working as an Industrial Chemist in the automotive industry before retraining to teach. Caroline has over 12 years of experience teaching GCSE and A-level chemistry and physics. She is passionate about delivering high-quality resources to help students achieve their full potential.