Charge Flow = Current × Time (Q = It)

✏️ 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

charge flow = current × time    Q = I t

QuantitySymbolUnit
charge flowQcoulombs (C)
currentIamperes (A)
timetseconds (s)

Rearranged: I = Q ÷ t  |  t = Q ÷ I  |  1 mA = 0.001 A

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 current of 2 A flows through a torch bulb for 30 s. Calculate the charge that flows.

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F: Q = I t
I: Q = 2 × 30
F: Q is already the subject
A: 60 C

Q2 (F) 120 C of charge flows through a toaster in 60 s. Calculate the current.

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F: Q = I t
I: 120 = I × 60
F: I = 120 ÷ 60
A: 2 A

Q3 (F) A bike light draws a current of 0.5 A. How long does it take for 300 C to flow?

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F: Q = I t
I: 300 = 0.5 × t
F: t = 300 ÷ 0.5
A: 600 s

Q4 (F) A phone charges with a current of 1.5 A for 20 minutes. Calculate the charge that flows.

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Convert first: 20 minutes = 1200 s
F: Q = I t
I: Q = 1.5 × 1200
F: Q is already the subject
A: 1800 C

Q5 (F) A torch draws 250 mA. How many minutes does it take for 450 C to flow?

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Convert first: 250 mA = 0.25 A
F: Q = I t
I: 450 = 0.25 × t
F: t = 450 ÷ 0.25 = 1800 s
A: 1800 ÷ 60 = 30 minutes

Q6 (F/H) A battery can supply 3600 C. A radio draws 0.2 A from it. How many hours will the battery last?

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F: Q = I t
I: 3600 = 0.2 × t
F: t = 3600 ÷ 0.2 = 18 000 s
A: 18 000 ÷ 3600 = 5 hours

Q7 (F/H) A lightning strike transfers 60 C of charge in 2 ms. Calculate the current.

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Convert first: 2 ms = 0.002 s
F: Q = I t
I: 60 = I × 0.002
F: I = 60 ÷ 0.002
A: 30 000 A

Q8 (F/H) A calculator draws a current of 5.0 × 10−5 A. How long does it take for 1.8 C to flow? Give your answer in standard form.

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F: Q = I t
I: 1.8 = 5.0 × 10−5 × t
F: t = 1.8 ÷ 5.0 × 10−5
A: 3.6 × 104 s (10 hours)

Q9 (H) A 12 Ω heating element is connected to a 6.0 V supply for 2 minutes. Calculate the charge that flows.

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Step 1 – current
F: V = I R
I: 6.0 = I × 12
F: I = 6.0 ÷ 12 = 0.5 A
Step 2 – charge (2 minutes = 120 s)
F: Q = I t
I: Q = 0.5 × 120
A: 60 C

Q10 (H) A phone battery can supply 10 800 C. The phone draws an average current of 0.35 A. How many hours will it last? Give your answer to 2 significant figures.

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F: Q = I t
I: 10 800 = 0.35 × t
F: t = 10 800 ÷ 0.35 = 30 857 s
A: 30 857 ÷ 3600 = 8.57… = 8.6 hours (2 s.f.)