AQA GCSE Physics Physics Paper 1 (Foundation), June 2025: Question 7

10 marks · Low Demand difficulty · Short Answer

Calculate electrical current and energy transfer in an electric motor circuit, determine efficiency, and extrapolate graphical data to evaluate proportionality between motor speed and efficiency.

Practise this question

Question

Question 7 includes a circuit diagram (Figure 12) containing a battery, open switch, variable resistor, ammeter, and an electric motor connected in parallel with a voltmeter. Sub-questions 07.1 and 07.2 provide formulas to calculate current from charge flow and time, and energy transferred from charge and potential difference. Question 07.3 is a multiple-choice question on the formula for efficiency. Question 07.4 requires calculating total input energy from efficiency and useful output energy. Figure 13 is a graph showing 'Efficiency of the motor' on the y-axis (from 0.0 to 0.8) versus 'Speed in m/s' on the x-axis (from 0.0 to 0.6) with a smooth curve plotted through data points up to 0.5 m/s. Questions 07.5 and 07.6 ask to predict efficiency at 0.6 m/s and explain why the relationship is not directly proportional.

Mark scheme

Show the mark scheme Mark scheme for Question 7. 07.1 awards 1 mark for substitution 6.0 / 12 and 1 mark for answer 0.50 (A). 07.2 awards 1 mark for substitution 6.0 × 8.0 and 1 mark for 48 (J). 07.3 awards 1 mark for selecting 'efficiency = useful output energy transfer / total input energy transfer'. 07.4 awards 1 mark for substitution 0.70 = 1.96 / total input energy transfer, 1 mark for rearrangement 1.96 / 0.70, and 1 mark for 2.8 (J). 07.5 awards 1 mark for value in range 0.74 to 0.78 inclusive. 07.6 awards 1 mark for stating 'the line is curved' (or not straight/not linear) or 'the line does not pass through the origin'.

How to answer it

Electric Motor Efficiency & Circuit Equations

📌 What this question tests

This question tests your ability to use fundamental electricity and energy formulas: charge flow and current ( Q = I × t ), energy transferred by charge ( E = Q × V ), and rearranging the efficiency formula. It also tests graph skills: extrapolating a non-linear line of best fit and identifying conditions for direct proportionality.

Question 07.1 • 2 Marks

Calculating Current in the Motor Circuit

Using: current = charge flow / time

📐 Step-by-Step Calculation

  1. Identify values: Charge flow Q = 6.0 C , Time t = 12 s
  2. Substitute into formula:
    current = 6.0 / 12 [1 mark]
  3. Evaluate:
    current = 0.50 A (or 0.5 A) [1 mark]

❌ Common Errors

  • Inverting the division: Calculating 12 / 6 = 2 A . Always put charge on top and time on the bottom.
  • Missing decimals: Both values had 2 significant figures ( 6.0 and 12 ), so writing 0.50 is ideal practice.
Question 07.2 • 2 Marks

Calculating Energy Transferred to the Motor

Using: energy transferred = charge flow × potential difference

📐 Step-by-Step Calculation

  1. Identify values: Charge Q = 6.0 C , Potential difference V = 8.0 V
  2. Substitute into formula:
    energy transferred = 6.0 × 8.0 [1 mark]
  3. Evaluate:
    energy transferred = 48 J [1 mark]

💡 Key Knowledge

Potential difference (volts) is defined as energy transferred per unit charge ( 1 V = 1 J/C ). Multiplying charge ( C ) by voltage ( V ) always gives energy in joules ( J ).

Question 07.3 • 1 Mark

Selecting the Correct Efficiency Equation

Recognising the standard definition of efficiency

✅ Correct Answer

Box 3:

efficiency = useful output energy transfer / total input energy transfer [1 mark]

🧠 Exam Technique: Sanity Check

Efficiency compares what you get out to what you put in.

  • Useful output can never exceed total input (conservation of energy).
  • Therefore, the smaller number (useful output) must always be divided by the larger number (total input).
Question 07.4 • 3 Marks

Calculating Total Input Energy Transfer

Rearranging the efficiency equation

📐 Step-by-Step Calculation

  1. Substitute given numbers into formula:
    0.70 = 1.96 / total input energy transfer [1 mark]
  2. Rearrange to solve for input energy:
    total input energy transfer = 1.96 / 0.70 [1 mark]
  3. Evaluate:
    total input energy transfer = 2.8 J [1 mark]

❌ Common Errors to Avoid

  • Multiplying instead of dividing: Students often calculate 1.96 × 0.70 = 1.37 J .
  • Self-check rule: Input energy must always be larger than useful output energy because some energy is always dissipated (wasted as heat and sound). If your answer is less than 1.96 J, you arranged it incorrectly!
Question 07.5 • 1 Mark

Predicting Efficiency at 0.6 m/s from the Graph

Extrapolating a line of best fit

✅ Acceptable Answer Range

Any value from 0.74 to 0.78 inclusive [1 mark]

🧠 Exam Technique: How to Extrapolate Curves

  • Take a sharp pencil and continue the curve from the last point at (0.5, 0.70) following the existing curvature (it is flattening out).
  • Do not draw a sudden straight line or bend it sharply upwards.
  • Read up vertically from speed = 0.6 m/s to where your extrapolated curve hits, then read across to the y-axis.
Question 07.6 • 1 Mark

Identifying Why Variables are NOT Directly Proportional

Understanding graphical features of proportionality

✅ Acceptable Answers (Give either one)

  • "The line is curved" (or: not straight / not linear) [1 mark]
  • OR: "The line does not pass through the origin" [1 mark]

💡 The Golden Rule of Direct Proportionality

For two quantities to be directly proportional on a graph, two conditions must both be met:

  1. The graph must be a straight line.
  2. The line must pass directly through (0, 0) / the origin.

Figure 13 fails both conditions, so stating either one earns full credit.

Topics

Physics · P1: Energy · P2: Electricity

Question and mark scheme from the AQA GCSE Physics examination, Physics Paper 1 (Foundation), June 2025. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.