Transformer Inefficiencies (AQA A Level Physics): Revision Note

Exam code: 7408

Katie M

Written by: Katie M

Reviewed by: Timothy Sit

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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:

    • P ∝ I2

    • 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

A power station supplies 25 kilovolts to a step-up transformer, producing 400 kilovolts at low current for transmission. A step-down transformer reduces this to 230 volts for homes, reducing power loss in transmission.
Step-up transformers raise the voltage for transmission to cut power losses, and step-down transformers lower it again for homes

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.

[2]

Answer:

Step 1: List the known quantities

  • Current, I = 2500 A

  • Length of cables, L = 150 km

  • 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 = 22.5 Ω [1 mark]

Step 4: Substitute values into the power equation

P = (2500)2 × 22.5

P = 1.4 × 108 W = 140 MW (2 s.f.) [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.

Timothy Sit

Reviewer: Timothy Sit

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.