Topic B.5 — Current & Circuits Paper 1 & 2 I = ∆q / ∆t ~6 min read

Electric Current

Every circuit relies on charge being pushed around a loop. Electric current is simply a measure of how much of that charge is passing a point per second — and the direction we conventionally draw it in isn’t quite the direction the electrons actually travel.

📘 What You Need to Know

Defining Electric Current

Inside a conducting wire, huge numbers of charge carriers (usually electrons in a metal) are jostling about. When a potential difference is applied, they gain a slow net drift in one direction on top of their random motion. Current is a measure of how much charge streams past a fixed point every second — the faster that charge moves through, the larger the current.

Electric current I = ∆q / ∆t

where I is current in amperes (A), ∆q is the charge transferred in coulombs (C), and ∆t is the time interval in seconds (s). Rearranged, this also tells you that 1 ampere is 1 coulomb of charge passing a point every second.

Conventional Current vs Electron Flow

Current was defined long before anyone knew electrons carried the charge in a metal wire — scientists simply picked a direction and called it “positive to negative”. When electrons were later discovered to be the actual charge carriers, it turned out they travel the opposite way. Both descriptions are used in physics, so it’s worth being able to picture them side by side.

+ LAMP conventional I electrons
Conventional current (teal) is drawn leaving the positive terminal and flowing round to the negative terminal. The electrons actually doing the moving (grey) drift the opposite way, leaving the negative terminal.

Direct Current (dc)

Cells and batteries produce direct current — current that flows in a single, unchanging direction. Plotted against time, a dc supply gives a flat horizontal line: the current has one constant value and never reverses.

I current time
Direct current has a single, constant value that never crosses the time axis — it always flows the same way.
Quick recap: I = ∆q/∆t; conventional current runs + → −, electrons drift − → +; dc stays constant in one direction.
WE 1

A charge-logging sensor records that 9.0 mC of charge passes through a wire every 1.5 ms. What current does this correspond to?

Write the equation: I = ∆q/∆t Convert units: ∆q = 9.0 × 10⁻³ C, ∆t = 1.5 × 10⁻³ s Substitute: I = (9.0 × 10⁻³) ÷ (1.5 × 10⁻³) I = 6.0 A
WE 2

A phone charger delivers a steady current of 2.5 A for 3.0 minutes. How much charge passes through the cable?

Rearrange for charge:q = I × ∆t Convert time: ∆t = 3.0 × 60 = 180 s Substitute: ∆q = 2.5 × 180 ∆q = 450 C

💡 Top Tips

⚠ Common Mistakes

Up next: Electric Potential Difference — now that we know what current is, we need to understand what actually drives it around the circuit.

Want personalised IB Physics support?

Book a free meeting to talk through your revision plan with an IB examiner.

Book Your Free Meeting