IGCSE Physics revision

IGCSE Physics revision · Electricity & magnetism

Electric circuits

One of the most heavily examined areas of the course, and a common source of lost marks. Everything rests on knowing exactly what current, voltage and resistance each measure — and on the series/parallel rules being automatic.

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What the syllabus demands

  • Define current, potential difference, e.m.f. and resistance
  • Use I = Q/t, V = IR (Ohm's law), and the resistance rules for series and parallel circuits
  • Recall current and voltage rules in series and parallel circuits
  • Describe how resistance varies with length and cross-sectional area of a wire
  • Calculate electrical power (P = IV) and energy (E = IVt); understand fuses and earthing

Definitions that earn marks

Clear definitions to practise — check your course mark scheme

Electric current
The charge passing a point per unit time: I = Q ÷ t. Measured in amperes.
Potential difference (voltage)
The work done (energy transferred) per unit charge passing between two points: V = W ÷ Q.
e.m.f.
The electromotive force of a source: the energy given to each unit of charge by the source.
Resistance
The opposition to current: R = V ÷ I, measured in ohms (Ω).

The equations

CurrentI = Q ÷ t · A
Ohm's lawV = I × R · V
Series resistanceR = R₁ + R₂
Parallel resistance (two resistors)1/R = 1/R₁ + 1/R₂
Electrical powerP = I × V · W
Electrical energyE = I × V × t · J

More equations to practise: the IGCSE formula sheet.

Where the marks die

Common mistakes to check

  1. 01

    Thinking current is used up around a circuit. Current is the same at every point in a series circuit — what is 'used' is energy, measured by the potential difference across each component.

  2. 02

    Reversing the meter connections: ammeters go in series, voltmeters in parallel across the component. Drawn wrong, the circuit mark is gone.

  3. 03

    Forgetting the parallel resistance result must be smaller than the smallest branch. If your answer is bigger, you forgot to take the reciprocal at the end of 1/R = 1/R₁ + 1/R₂.

  4. 04

    Wire resistance rules half-remembered: resistance increases with length (double length, double resistance) and decreases with cross-sectional area (double area, half resistance).

  5. 05

    Fuse explanations without melting: too large a current melts the fuse wire, breaking the circuit and protecting the cable. The fuse rating must be just above the appliance's normal current.

One worked example, done properly

Question

A 6.0 Ω and a 3.0 Ω resistor are connected in parallel to a 6.0 V supply. Calculate the total resistance and the current from the supply.

Method

  1. 1.1/R = 1/6.0 + 1/3.0 = 1/6 + 2/6 = 3/6, so R = 2.0 Ω.
  2. 2.Check: 2.0 Ω is smaller than the smallest branch (3.0 Ω) — as parallel must be.
  3. 3.I = V ÷ R = 6.0 ÷ 2.0.

R = 2.0 Ω, I = 3.0 A

Test yourself

10 questions · instant marking

Question 1 of 10

A 12 V supply drives a current of 3 A through a resistor. Its resistance is:

Question 2 of 10

In a series circuit, the current:

Question 3 of 10

An ammeter is connected:

Question 4 of 10

Two 10 Ω resistors are connected in parallel. Their combined resistance is:

Question 5 of 10

Doubling the length of a wire (same material and thickness):

Question 6 of 10

A charge of 60 C passes a point in 20 s. The current is:

Question 7 of 10

A 230 V kettle draws 10 A. Its power is:

Question 8 of 10

The purpose of a fuse is to:

Question 9 of 10

In a parallel circuit, the potential difference across each branch is:

Question 10 of 10

As a filament lamp heats up, its resistance:

Fit these topics into your free physics revision plan

Common questions

Asked, answered.

What are the series and parallel circuit rules?

Series: the current is the same everywhere; the voltages across components add up to the supply voltage. Parallel: the voltage across every branch is the same; the branch currents add up to the supply current.

Why does adding resistors in parallel decrease total resistance?

Each new branch provides an additional path for current, so more total current flows for the same voltage — and R = V/I means the effective resistance falls. The total is always less than the smallest branch.

What is the difference between e.m.f. and potential difference?

E.m.f. is the energy the source gives to each unit of charge; potential difference is the energy each unit of charge transfers to a component. Same units (volts), opposite sides of the energy ledger.

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