Teachers' Portal  /  IGCSE Physics 0625  /  Electrical quantities  /  Resistance (R = V / I)
Lesson pack · IGCSE Physics 0625 · 4.2.4 · Core

Resistance (R = V / I)

Holding back the current. Push the same voltage through a thin wire and a thick wire and very different currents flow.

Student lesson Lab, full screen
At a glance

The shape of the lesson

Topic
Electrical quantities
Syllabus reference
Cambridge IGCSE Physics 0625, 4.2.4
Level
Core
Duration
45 minutes, lab-led; stretches to a 60 minute block (see the contingency notes)
Position in topic
Lesson 6 of 9 in Electrical quantities; follows EMF and potential difference; leads into Current-voltage graphs
Central model
Resistance is the ratio of the potential difference across a component to the current through it: R = V divided by I, measured in ohms.
Cooperative structure
Assessment
Stage 1 check and the exam-style plenary from the student lesson, plus the worksheet as the exit task
Learning objectives

By the end of the lesson, learners can

Section by section
  • Set the voltage, read the current: Change the p.d. across a resistor and watch the current and the resistance ratio.
  • What changes a wire’s resistance: Resistance depends on the dimensions of the wire as well as the material.
Key points to leave on the board
  • Match the pair: use the voltage across a component with the current through that same component.
  • Three forms: R = V ÷ I, V = IR, I = V ÷ R.
  • Units: volts, amperes and ohms; one ohm is one volt per ampere.
  • Hold conditions steady: the simple proportion holds only while the temperature is constant.
The core visual model

One picture every idea returns to

Resistance is the ratio of the potential difference across a component to the current through it: R = V divided by I, measured in ohms. A longer wire has more resistance; a thicker wire has less.

Lesson sequence

Forty-five minutes, phase by phase

TimePhaseWhat happens in the roomGrouping
0 to 5 minHook: predictOpen with the question in the title, Holding back the current.. Push the same voltage through a thin wire and a thick wire and very different currents flow.Whole class, then pairs
5 to 17 minTeach and check: Set the voltage, read the currentChange the p.d. across a resistor and watch the current and the resistance ratio. Project tab 6 of the lab (Resistance) and let a student drive it while the class predicts.Whole class, then pairs
17 to 30 minTeach and check: What changes a wire’s resistanceResistance depends on the dimensions of the wire as well as the material. Model the worked example Worked example on the board, one line at a time.Rally Coach
30 to 36 minCheckThe four Stage 1 questions from the student lesson, answered on mini whiteboards or by show of fingers. Re-teach the one most get wrong.Individual, then whole class
36 to 43 minPlenaryThe exam-style questions from Stage 2, one at a time: thirty seconds alone, then a random call. The feedback lines in the key give the examiner's wording.Individual, random call
43 to 45 minExit and homeworkSet the worksheet below (6 questions, 14 marks). Learners self-assess against the objectives before they leave.Individual
Timing and contingency

Protect the parts that carry the learning

The sequence carries about fifty minutes of material, so the lab is driven by one student while the class predicts rather than explored freely. Times are a guide.

Protected: the check at 30 minutes. It is the only individual read on whether the key idea landed, and it is not cut.

Cut first if the build overruns: the last check in What changes a wire’s resistance, never the check or the plenary.

In a 60 minute block: run worksheet questions 1 to 3 in class as a Rally Coach set and model both the hardest worked example and its check live.

Running the cooperative task

Rally Coach

Pairs share one worksheet. One partner solves the first question aloud while the other coaches, checking each line and offering a prompt rather than the answer; they swap roles for the next question.

The full structure, with its variations and the other twelve, is on the cooperative-learning page.

Examiner traps to pre-empt

What to head off, and how

Trap learners fall intoTeaching move that pre-empts it
Resistance is voltage divided by current, R = V divided by I, not the other way round.A longer wire has more resistance, and a thicker (wider) wire has less.
Worksheet

Resistance (R = V / I): worksheet

6 questions, 14 marks. Written in the style of the papers; no past paper question is reproduced.

NameClassDate
Q1 · analysis[2 marks]

Write the equation that defines resistance, name each quantity, and state the unit of each.

Q2 · calc[2 marks]

A current of 0.40 A flows through a component when the potential difference across it is 6.0 V. Calculate its resistance.

Q3 · calc[2 marks]

A 24 Ω resistor is connected across a 12 V supply. Calculate the current through it.

Q4 · calc[2 marks]

A heating element has a resistance of 30 Ω and carries a current of 8.0 A. Calculate the potential difference across it.

Q5 · calc[3 marks]

A fixed resistor is kept at a constant temperature. When the potential difference across it is 4.0 V, the current is 0.25 A.

(a) Calculate its resistance.
(b) The potential difference is increased to 8.0 V. Calculate the new current.

Q6 · analysis[3 marks]

A student measures the current through a filament lamp at several voltages and finds that the value of V ÷ I is larger at high voltages than at low voltages.

(a) State what happens to the resistance of the lamp as the voltage increases.
(b) Explain why, in terms of the filament.

Answer key and marking notes
Q1 · 2 marks
  • R = V ÷ I, where V is the potential difference (volts), I is the current (amperes) and R is the resistance (ohms). ✓
  • A resistance of 1 Ω passes a current of 1 A when 1 V is across it. ✓
Q2 · 2 marks
  • R = V ÷ I = 6.0 ÷ 0.40

    R = 15 Ω

Q3 · 2 marks
  • I = V ÷ R = 12 ÷ 24

    I = 0.50 A

Q4 · 2 marks
  • V = IR = 8.0 × 30

    V = 240 V

Q5 · 3 marks
  • (a) R = V ÷ I = 4.0 ÷ 0.25

    R = 16 Ω

    (b) I = V ÷ R = 8.0 ÷ 16

    I = 0.50 A

    double the voltage, double the current, since R is unchanged

Q6 · 3 marks
  • (a) The resistance increases as the voltage increases. ✓
  • (b) A larger voltage drives a larger current, which heats the filament so its temperature rises. ✓
  • The hotter metal resists the current more, so R = V ÷ I gives a larger value. ✓
Quiz

2 multiple-choice questions on this lesson

From the topic question bank. Assign them in the app for a marked score in your gradebook, or run the topic as a class game.

Q11 mark

A potential difference of 6.0 V drives a current of 0.50 A through a resistor. What is its resistance?

6.0 V, 0.50 A
  • A3.0 Ω
  • B12 Ω
  • C0.083 Ω
  • D6.5 Ω
Q21 mark

Two wires are made of the same material and have the same thickness, but wire X is longer than wire Y. How do their resistances compare?

  • AWire X has the greater resistance.
  • BWire Y has the greater resistance.
  • CThey have equal resistance.
  • DLength has no effect on resistance.
Quiz key
Q1: B

R = V ÷ I = 6.0 ÷ 0.50 = 12 Ω. Option A multiplies the values; C inverts the formula.

Q2: A

Resistance increases with length, so the longer wire X has the greater resistance. A thicker wire would reduce resistance, but here the thickness is the same.

Lab and demo

What to project

The student lesson embeds these tabs. Open them full screen on the projector; every slider has a drag handle on the stage.

Slides

Slides for this lesson

A projectable deck for every pack is on the way. Until then, present the student lesson full screen: its sections, figure and lab tabs follow the same order as the plan above.

Also for this topic

Everything else you can use

Original work by the TheLucidSTEM team. The worksheet items are written in the style of the papers; no past paper question is reproduced.
Previous lessonEMF and potential difference