IntermediateTopic 50 of 106Electrical Engineering
Mutual inductance
Coupling between coils through shared flux, basis of transformers.
In depth
Two coils share flux linkage M=k√(L₁L₂), 0≤k≤1. Induced voltage in coil 2: v₂=M di₁/dt. Series aiding L=L₁+L₂+2M. Dot convention shows polarity. It is the basis of transformers and wireless charging.
Key points
- Coupling coefficient k
- Leakage inductance
- Resonant inductive coupling
ExampleQi wireless chargers use coupled coils.
What is Mutual inductance?
Coupling between coils through shared flux, basis of transformers.
Why is it important to understand mutual inductance?
Mutual inductance is the coupling that transfers energy between coils without electrical contact, and it is the basis of transformers and wireless charging.
What is the coupling coefficient?
It is a number between zero and one that measures how much of one coil's flux links the other. A value near one means tight coupling.
Can mutual inductance be negative?
The sign depends on how the coils are wound and connected. Dot notation shows the polarity of the coupling.
How is Mutual inductance used in practice?
Typical applications include estimating the coupling between two coils in a wireless charger, analysing crosstalk between two adjacent PCB traces and designing a current transformer for measuring high currents.
What should I learn before Mutual inductance?
Study "Two-port networks" first (topic 49 of 106 in Electrical Engineering). It covers the groundwork this topic builds on.
What are the key points of Mutual inductance?
Coupling coefficient k. Leakage inductance. Resonant inductive coupling.
Can you give an example of Mutual inductance?
Qi wireless chargers use coupled coils.
What comes after Mutual inductance?
The next topic is "Transformers", which builds directly on this one.
How difficult is Mutual inductance?
It is classed as Intermediate in Electrical Engineering (topic 50 of 106). It is an intermediate topic. Work through the beginner topics in Electrical Engineering first.