Power = Potential Difference × Current (P = VI)

✏️ Paper first! Work out every question on paper before you tap Show solution. Write down every step – the equation, the numbers with units, the rearranging and the answer with its unit. In the exam, if your final answer is wrong you can still get marks for correct working, but only if the examiner can see it.

Course: Combined Science + Separate Physics  |  Tier: Foundation + Higher  |  Equation sheet: given in the exam

The equation

power = potential difference × current    P = V I

QuantitySymbolUnit
powerPwatts (W)
potential differenceVvolts (V)
currentIamperes (A)

Rearranged: I = P ÷ V  |  V = P ÷ I  |  UK mains = 230 V

Use FIFA for every answer

  • F – Formula: write the equation as it appears on the sheet.
  • I – Insert: put in the numbers (convert to standard units first).
  • F – Fix: rearrange to make the unknown the subject.
  • A – Answer: calculate and always give the unit.

Foundation: aim for Q1–8.   Higher: aim for Q4–10. Most questions need rearranging.


Questions

Q1 (F) A car headlamp runs on 12 V with a current of 2 A. Calculate its power.

Show solution

F: P = V I
I: P = 12 × 2
F: P is already the subject
A: 24 W

Q2 (F) A 2300 W kettle runs on the 230 V mains. Calculate the current.

Show solution

F: P = V I
I: 2300 = 230 × I
F: I = 2300 ÷ 230
A: 10 A

Q3 (F) A 60 W lamp draws a current of 0.5 A. Calculate the p.d. across it.

Show solution

F: P = V I
I: 60 = V × 0.5
F: V = 60 ÷ 0.5
A: 120 V

Q4 (F) A 1.15 kW toaster runs on the 230 V mains. Calculate the current.

Show solution

Convert first: 1.15 kW = 1150 W
F: P = V I
I: 1150 = 230 × I
F: I = 1150 ÷ 230
A: 5 A

Q5 (F) A 2.5 W USB fan runs on 5 V. Calculate the current in mA.

Show solution

F: P = V I
I: 2.5 = 5 × I
F: I = 2.5 ÷ 5 = 0.5 A
A: 500 mA

Q6 (F/H) A 1.8 kW hairdryer runs on 230 V. Fuses come in 3 A, 5 A and 13 A. Which fuse should it have?

Show solution

Convert first: 1.8 kW = 1800 W
F: P = V I
I: 1800 = 230 × I
F: I = 1800 ÷ 230 = 7.8 A
A: choose the next fuse above the normal current: 13 A

Q7 (F/H) A 7.2 kW home electric-car charger runs on 240 V. Calculate the current.

Show solution

Convert first: 7.2 kW = 7200 W
F: P = V I
I: 7200 = 240 × I
F: I = 7200 ÷ 240
A: 30 A

Q8 (F/H) A National Grid cable transmits 2.0 × 108 W at 4.0 × 105 V. Calculate the current.

Show solution

F: P = V I
I: 2.0 × 108 = 4.0 × 105 × I
F: I = 2.0 × 108 ÷ 4.0 × 105
A: 5.0 × 102 A

Q9 (H) A 230 V heater has a resistance of 23 Ω. Calculate its power.

Show solution

Step 1 – current
F: V = I R
I: 230 = I × 23
F: I = 230 ÷ 23 = 10 A
Step 2 – power
F: P = V I
I: P = 230 × 10
A: 2300 W

Q10 (H) A laptop charger supplies 65 W at 19.5 V. Calculate the current, to 2 significant figures.

Show solution

F: P = V I
I: 65 = 19.5 × I
F: I = 65 ÷ 19.5
A: 3.33… = 3.3 A (2 s.f.)