AQA GCSE Physics Physics Paper 1 (Higher), June 2022: Question 3

8 marks · Standard Demand difficulty · Short Answer

Recall power equations relating current, potential difference, and efficiency, and calculate current and useful power output in energy transfer contexts

Practise this question

Question

A 4-part question about electricity-generating pavement tiles. Part 03.1 asks to select the equation linking current, potential difference, and power from four options (1 mark). Part 03.2 asks to calculate the current given a potential difference of 40 V and power of 4.4 W (3 marks). Part 03.3 asks to select the correct equation linking efficiency, total power input, and useful power output from three options (1 mark). Part 03.4 asks to calculate the useful power output of an LED light with power input 4.0 W and efficiency 0.85 (3 marks).
Question text

03 An engineering company has invented pavement tiles that generate electricity as

people walk on them.

Figure 3 shows someone walking on the pavement tiles.

Figure 3

Use the Physics Equations Sheet to answer questions 03.1 and 03.2.

03.1 What equation links current (I), potential difference (V) and power (P)?

[1 mark]

Tick ( ) one box.

V

P =

I

P = V × I

I = P × V

V = I × P 9

03.2 When a person walks on a tile, a potential difference of 40 V is induced across the tile.

The power output of the tile is 4.4 W.

Calculate the current in the tile.

[3 marks]

Current = A

Use the Physics Equations Sheet to answer questions 03.3 and 03.4.

03.3 What equation links efficiency, total power input and useful power output?

[1 mark]

Tick ( ) one box.

useful power output

Efficiency =

total power input

total power input

Efficiency =

useful power output

Efficiency = useful power output × total power input

03.4 The tiles are used to power LED lights in the pavement.

An LED light has a total power input of 4.0 W.

The efficiency of the LED light is 0.85

Calculate the useful power output of the LED light.

[3 marks]

Useful power output = W

Mark scheme

Show the mark scheme Mark scheme showing answers for parts 03.1 to 03.4. Part 03.1 awards 1 mark for P = V x I. Part 03.2 awards 3 marks for substitution, rearrangement, and final answer I = 0.11 A. Part 03.3 awards 1 mark for efficiency = useful power output / total power input. Part 03.4 awards 3 marks for substitution, rearrangement, and final answer P = 3.4 W.

AO /

Question Answers Extra information Mark

Spec. Ref.

03.1 P = V × I 1 AO1

4.2.4.1

AO /

Spec. Ref.

03.2 4.4 = 40 × I 1 AO2

4.2.4.1

4.4 1

I =

I = 0.11 (A) 1

AO /

Spec. Ref.

03.3 useful power output 1 AO1

efficiency = 4.1.2.2

total power input

AO /

Spec. Ref.

03.4 P AO2

0.85 = 1 4.1.2.2

4.0

P = 0.85 × 4.0 1

P = 3.4 (W) 1

– HYSICS – –

Total Question 3 8

Question 4

How to answer it

Electricity Generating Pavement Tiles Study Guide

What this question tests

This question tests your recall of standard physics equations (power, current, potential difference, and efficiency), your ability to rearrange these formulas, and your skill in substituting numerical values to calculate unknown quantities with correct units.

Question 03.1 (1 Mark)

Power, Current, and Potential Difference Equation

✅ Correct Answer

Tick the box for: P = V × I

1 mark awarded for selecting the correct equation from the given choices.

💡 Key Knowledge

  • P = Power measured in watts (W)
  • V = Potential difference measured in volts (V)
  • I = Current measured in amperes (A)
Question 03.2 (3 Marks)

Calculating Current from Power and Potential Difference

📐 Step-by-Step Calculation

  1. State the formula: P = V × I
  2. Substitute the values: 4.4 = 40 × I
  3. Rearrange and solve: I = 4.4 / 40
  4. Final Answer: I = 0.11 A
1 mark for substitution, 1 mark for rearrangement/calculation, 1 mark for correct final answer.

❌ Common Errors

  • Dividing potential difference by power (40 / 4.4) instead of power by potential difference.
  • Forgetting to include the unit (A) in the final answer line, though the mark scheme accepts the numerical value if the unit is pre-printed.
Question 03.3 (1 Mark)

Efficiency Equation

✅ Correct Answer

Tick the box for: Efficiency = useful power output / total power input

1 mark awarded for identifying the standard efficiency ratio.

🧠 Exam Technique

Remember that efficiency is a ratio of "what you want" (useful output) divided by "what you paid for/put in" (total input). Efficiency can never be greater than 1 (or 100%), so the larger number (total input) must always be on the bottom!

Question 03.4 (3 Marks)

Calculating Useful Power Output

📐 Step-by-Step Calculation

  1. State the formula: Efficiency = useful power output / total power input
  2. Substitute the values: 0.85 = P / 4.0
  3. Rearrange: P = 0.85 × 4.0
  4. Final Answer: P = 3.4 W
1 mark for correct substitution, 1 mark for correct rearrangement, 1 mark for correct final answer with units.

🧠 Exam Technique

Always show your working out line by line. Even if you make a calculator slip on the final multiplication, showing the correct substitution ( 0.85 = P / 4.0 ) often secures method marks.

Topics

Physics · P1: Energy · P2: Electricity

Question and mark scheme from the AQA GCSE Physics examination, Physics Paper 1 (Higher), June 2022. QuestionVault is an independent revision resource; questions remain the copyright of the awarding body.