Interactive Labs › Mathematics labs
MMathematicsPhysicsS6Complex numbers
Complex numbers lab: the Argand diagram
Engineers design every AC electricity network with numbers that include √−1. See what complex numbers look like and how they rotate.
LevelS6 (and A Level)
TimeAbout 35 min
You useModulus, argument, polar form
PriceFree: no account
🎯 Aim
To represent complex numbers geometrically and use them in calculations.
You will learn to
- Represent complex numbers on an Argand diagram.
- Add, multiply and divide complex numbers.
- Find modulus and argument; use polar form.
- Find the nth roots of unity.
🧭 What to do
- Set z₁ and z₂ and choose an Operation.
- Compare the result on the diagram with the calculation.
- Read the polar forms: what happens to r and θ when you multiply?
- Change n and look at the roots of zⁿ = 1.
- Answer the questions with the class data.
- Write your conclusion and download your lab report.
📋 The data
Two complex numbers.
🧠 Investigate: answer from the data
Type your answer and tap Check. Use 💡 Hint first; open the method only when you are stuck.
➕ Get more from this experiment
📝 Free
Print the worksheet (button above), download the data, and save your report. Teachers can project this page in class.
📦 Premium Lab Pack
1 000 RWF
- Worksheet: complex numbers and AC circuits
- Complex numbers problems
- Teacher guide and answer key
- Exam-style questions with marking scheme
👩🏫 For teachers
Use it as a practical when apparatus is missing, as homework, or as a project. Free lesson plans help you plan, teach and assess.
🔗 Related in the subjects