Pearson Edexcel · GCSE · Physics

    Course version: 1PH0 · Version from Sept 2016

    Recall and use the equation: efficiency = (useful energy transferred by…

    Full specification wording

    Topic 3 – Conservation of energy: 3.11 Recall and use the equation: efficiency = (useful energy transferred by the device) / (total energy supplied to the device)

    Efficiency compares the useful energy a device transfers with the total energy supplied to it.

    Checked against the Pearson Edexcel 1PH0 specification (opens in a new tab) on .

    • Point 9 of 10

    Study notes

    From the checked teaching notes for this specification point.

    The idea

    Efficiency compares the useful energy a device transfers with the total energy supplied to it. Write efficiency = useful energy transferred ÷ total energy supplied. Both quantities are energies in joules (J), so efficiency is a ratio with no unit; multiply by 100 to give a percentage. Example: a lamp supplied with 200 J transfers 40 J as useful light, so efficiency = 40 J ÷ 200 J = 0.20, or 20%. The remaining 160 J is transferred to the surroundings, often by heating, and is wasted. Because useful energy can never exceed the total supplied, efficiency is always between 0 and 1 (0% to 100%). To use the equation, identify the useful output and the total input from the question, substitute in joules, then divide.

    What earns the marks

    • Recalls the equation efficiency = useful energy transferred ÷ total energy supplied.
    • Substitutes the useful energy and total energy values in joules into the equation correctly.
    • Calculates efficiency as a decimal or converts it to a percentage by multiplying by 100.
    • States that efficiency has no unit and lies between 0 and 1 (0% and 100%).

    Common mistakes and how to put them right

    • Divides total energy by useful energy.

      Put it right: Keep useful energy on top and total energy underneath.

    • Adds a unit such as joules to the efficiency.

      Put it right: State that efficiency is a ratio with no unit.

    • Forgets to multiply by 100 when a percentage is asked for; convert the decimal to a percentage.

    • Uses the wasted energy as the useful value.

      Put it right: Identify the useful output from the question first.

    Exam tips

    • Write the equation first, then substitute the values, so the working is clear and easy to mark.
    • Check the units of both energies match (both in joules) before dividing.
    • Decide whether the answer should be a decimal or a percentage and present it accordingly.
    • Sanity-check the result: an efficiency above 1 (or 100%) signals the values were swapped.

    Try the lesson

    The start of the Topic 3 – Conservation of energy: 3.11 Recall and use the equation: efficiency = (useful energy transferred by the device) / (total energy supplied to the device) lesson, made from checked teaching notes for this specification point.

    Have a go first

    A kettle is supplied with 1000 J of energy and transfers 800 J usefully to the water. What is the efficiency of the kettle?

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