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IGCSE · Cambridge (CIE) · 0972

Calculate current from charge passing a point

Use I = Q/t with consistent coulombs and seconds and keep the chosen point and averaging interval explicit.

Electric current pathway · 0972 (9–1) · 4.2.2
Exam scope and assessment notes

Extended only (Supplement) · Physics 0972, 2026–2028. Use the stated source, operating conditions and meter ranges. Written practice is self-checked. Human subject-teacher review, supervised practical competence and cumulative assessment remain pending. Cambridge states that IGCSE 0972 has the same subject content as IGCSE 0625, with 9–1 grading. This StudyForA pathway maps the 2026–2028 syllabus only. This 9–1 graded qualification is available only in a limited number of administrative zones. Confirm that your centre can enter you for this code and exam series with Cambridge International. Cambridge has published a separate syllabus for 2029. StudyForA has not reconciled that version yet; this page supports exams in 2026, 2027 and 2028 only.

Before you begin

  • Use coulombs and time conversions.
  • Distinguish current from a total transferred charge.

Work on paper. Try each question before revealing help, and explain why your method works.

Quick readiness check

What is 18 mC in coulombs?

What you will learn

  • Define current as charge passing a point per unit time.
  • Calculate current with consistent charge and time units.
Original interval account uses 12 C passing a point over 4 s to give average current 3 A. It does not establish constant instantaneous current. Charge, time and rate are distinct quantities.Charge passing a pointQ = 12 CInterval t = 4 sI = Q / tAverage I = 3 AAverage does not provea constant instantaneous rate
Original interval account uses 12 C passing a point over 4 s to give average current 3 A. It does not establish constant instantaneous current. Charge, time and rate are distinct quantities.

Define the rate

Electric current is the charge passing a point per unit time: I = Q/t. With charge Q in coulombs and time t in seconds, current I is in amperes. One ampere means one coulomb per second. State the point or cross-section through which charge is counted.

For 12 C passing a marked section in 4 s, the average current over that interval is 3 A. If the current is constant, this average is also its value throughout the interval. If it varies, the total-charge calculation supplies the interval average, not every instantaneous value.

Convert both quantities

Convert prefixed charges and non-second times before dividing. For 18 mC in 6 ms, both prefixes contribute 10⁻³, so (18 × 10⁻³)/(6 × 10⁻³) = 3 A. Cancelling a prefix is justified only when the numerator and denominator use the same multiplier.

Signed charge passages must use a stated direction convention. Opposite passages can reduce the signed net total even when carriers moved. Unless such a changing-direction account is specified, introductory examples give a one-direction passed-charge magnitude. Do not infer voltage, resistance or energy from current alone.

Pause and explain

18 mC passes a point in 6 ms. What is the current?

Put the idea to work

Worked example

12 C passes a marked wire section in 4 s. Calculate the interval average current.

Show the worked solution
  1. Use I = Q/t.
  2. Both values are already in C and s.
  3. 12/4 = 3 A.

Answer 3 A average over the stated interval.

Try a topic test

Choose Easy, Normal or Difficult. Save your answers and open worked review after finishing.

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From guided practice to a new situation

Write your answer and reasoning first. Use a hint only if you are stuck. The model solution is for self-checking; your written work is not automatically marked.

1 · Guided

Calculate the current when 12 C passes a point in 4 s.

Give me a hint

Divide passed charge by its associated time interval.

Compare my reasoning
  1. I = Q/t.
  2. Q = 12 C and t = 4 s.
  3. I = 3 A.

3 A.

Look for these in your work

  • Use the same interval.
  • State amperes.
2 · Independent

Calculate average current for 30 mC in 2 s and for 18 mC in 6 ms.

Give me a hint

Convert each charge and time independently before comparing the two rates.

Compare my reasoning
  1. 0.030/2 = 0.015 A.
  2. 0.018/0.006 = 3 A.
  3. The different time scales produce different rates.

0.015 A (15 mA); 3 A.

Look for these in your work

  • Convert both examples.
  • Do not cancel unlike prefixes.
3 · Transfer

A variable current passes 20 C in 10 s. A learner claims it was exactly 2 A at every instant. Assess the claim.

Give me a hint

Ask whether the total charge determines the detailed time profile.

Compare my reasoning
  1. The interval average is 20/10 = 2 A.
  2. Many varying profiles can give the same total.
  3. Constancy is not established without further information.

Average 2 A; the instantaneous values are not established.

Look for these in your work

  • Calculate the supported average.
  • Identify the missing time-profile evidence.

Common mistakes

  • Use coulombs and seconds consistently.
  • An interval average need not be constant current.
  • Identify the chosen section and sign convention.
Recall without your notes

What can you explain now?

What does 1 A mean?

Compare with the explanation

1 C passing a point per second.

The ampere expresses a charge-flow rate rather than a stored amount of charge.

After trying it yourself, choose your next review. This is your self-assessment.

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Make it stick

Define and calculate charge-flow rate with consistent units and an explicit averaging interval.

If you needed the solution, close it and solve the problem again from a blank page. A correct answer is stronger when you can explain the reason for each step.

Keep learning Physics (9-1)

Course scope and assessment

491 sequenced Physics lessons provide 1473 guided, independent and application problems. 58 of 58 syllabus sections have full linked teaching sequences; 0 sections remain pending. Three earlier starter overviews remain available but are not counted as full sequences. The map covers all six subject areas for 2026–2028 and keeps review and assessment limits visible. This is available content, not full programme completion, an exam grade or certified mastery. Written practice is self-checked. Supervised practical experience, cumulative assessment and human subject-teacher review remain pending. Paper method exercises do not demonstrate practical competence or complete either practical-assessment route. This is the separate 9–1 qualification 0972; Cambridge states that its 2026–2028 subject content is otherwise the same as 0625. This 9–1 graded qualification is available only in a limited number of administrative zones. Confirm that your centre can enter you for this code and exam series with Cambridge International. The 2029 syllabus is separately published at https://www.cambridgeinternational.org/Images/764368-2029-syllabus.pdf and is not yet mapped here. This course supports exams in 2026, 2027 and 2028 only.

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