Energy Transferred = Charge × Potential Difference (E = QV)

✏️ 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

energy transferred = charge flow × potential difference    E = Q V

QuantitySymbolUnit
energy transferredEjoules (J)
charge flowQcoulombs (C)
potential differenceVvolts (V)

Rearranged: Q = E ÷ V  |  V = E ÷ Q  |  1 volt = 1 joule per coulomb

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) 20 C of charge flows through a 12 V car bulb. Calculate the energy transferred.

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F: E = Q V
I: E = 20 × 12
F: E is already the subject
A: 240 J

Q2 (F) 60 C of charge transfers 540 J in a radio. Calculate the p.d.

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F: E = Q V
I: 540 = 60 × V
F: V = 540 ÷ 60
A: 9 V

Q3 (F) A 230 V lamp transfers 4600 J. Calculate the charge that flows.

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F: E = Q V
I: 4600 = Q × 230
F: Q = 4600 ÷ 230
A: 20 C

Q4 (F) A 12 V car battery transfers 36 kJ to the starter motor. Calculate the charge that flows.

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Convert first: 36 kJ = 36 000 J
F: E = Q V
I: 36 000 = Q × 12
F: Q = 36 000 ÷ 12
A: 3000 C

Q5 (F) A 1.5 V AA cell transfers 2.7 kJ over its lifetime. Calculate the total charge that flows.

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Convert first: 2.7 kJ = 2700 J
F: E = Q V
I: 2700 = Q × 1.5
F: Q = 2700 ÷ 1.5
A: 1800 C

Q6 (F/H) A 3.7 V phone battery stores 37 kJ when fully charged. How much charge can it supply?

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Convert first: 37 kJ = 37 000 J
F: E = Q V
I: 37 000 = Q × 3.7
F: Q = 37 000 ÷ 3.7
A: 10 000 C

Q7 (F/H) 5000 C of charge flows through a kettle and transfers 1.15 MJ. Calculate the p.d.

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Convert first: 1.15 MJ = 1 150 000 J
F: E = Q V
I: 1 150 000 = 5000 × V
F: V = 1 150 000 ÷ 5000
A: 230 V

Q8 (F/H) A lightning strike transfers 25 C and 2.5 × 109 J. Calculate the p.d. between cloud and ground.

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F: E = Q V
I: 2.5 × 109 = 25 × V
F: V = 2.5 × 109 ÷ 25
A: 1.0 × 108 V

Q9 (H) A 12 V battery supplies a current of 2.5 A to a motor for 4 minutes. Calculate the energy transferred.

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Step 1 – charge (4 minutes = 240 s)
Q = I t = 2.5 × 240 = 600 C
Step 2 – energy
F: E = Q V
I: E = 600 × 12
A: 7200 J

Q10 (H) A 9.0 V battery in a smoke alarm tester supplies 0.045 A for 3 hours. Calculate the energy transferred, to 2 significant figures.

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Step 1 – charge (3 hours = 10 800 s)
Q = I t = 0.045 × 10 800 = 486 C
Step 2 – energy
F: E = Q V
I: E = 486 × 9.0 = 4374 J
A: 4400 J (2 s.f.)