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.
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Electric Motor Efficiency & Circuit Equations
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.
Calculating Current in the Motor Circuit
Using: current = charge flow / time
📐 Step-by-Step Calculation
- Identify values: Charge flow Q = 6.0 C , Time t = 12 s
- Substitute into formula:
current = 6.0 / 12 [1 mark] - 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.
Calculating Energy Transferred to the Motor
Using: energy transferred = charge flow × potential difference
📐 Step-by-Step Calculation
- Identify values: Charge Q = 6.0 C , Potential difference V = 8.0 V
- Substitute into formula:
energy transferred = 6.0 × 8.0 [1 mark] - 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 ).
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).
Calculating Total Input Energy Transfer
Rearranging the efficiency equation
📐 Step-by-Step Calculation
- Substitute given numbers into formula:
0.70 = 1.96 / total input energy transfer [1 mark] - Rearrange to solve for input energy:
total input energy transfer = 1.96 / 0.70 [1 mark] - 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!
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.
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:
- The graph must be a straight line.
- 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.