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Electromagnetic Induction

Why high-voltage transmission reduces energy loss

  • 3 things to know
  • Paper 2

Overview

The equations for power and for power wasted in a cable, why a tenfold voltage rise cuts losses a hundredfold, and calculations of current and wasted power in transmission cables.

What you need to know

Answer each one before you reveal it.

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Key term

State the equations for electrical power and for power wasted in a cable, and explain why a tenfold voltage rise cuts losses a hundredfold.

Key term

State the equation linking electrical power, current and potential difference.

Key term

State the equation linking the power wasted in a cable, the current in it and its resistance.

Questions from this subtopic

Each one with the model answer underneath.

  1. 1

    State the equation linking electrical power, current and potential difference.

    Model answer

    Power = current × potential difference.

  2. 2

    State the equation linking the power wasted in a cable, the current in it and its resistance.

    Model answer

    Power wasted = current² × resistance.

  3. 3

    Explain why raising the transmission voltage ten times reduces the power wasted in the cables one hundred times.

    Model answer

    The current falls to a tenth for the same power, and the wasted power depends on the square of the current.

  4. 4

    A power station transfers 1.0 MW along cables at a voltage of 10 000 V. Calculate the current in the cables.

    Model answer

    Current = 1 000 000 ÷ 10 000 = 100 A.

  5. 5

    Calculate the power wasted in transmission cables of total resistance 5.0 Ω carrying a current of 100 A.

    Model answer

    Power wasted = 100² × 5.0 = 50 000 W.

  6. 6

    A power station transfers 1.0 MW at 100 000 V through cables of total resistance 5.0 Ω. Calculate the power wasted in the cables.

    Model answer

    The current is 1 000 000 ÷ 100 000 = 10 A, so the power wasted = 10² × 5.0 = 500 W.

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