Electric Motor Academy·10 min read·
intermediate

Magnetic fields and flux density

How coils, iron and air gaps combine to create the field a motor needs.

You'll learn
  • Explain magnetic fields and flux density at engineering level
  • Read the numbers that define the behaviour
  • Apply the idea to a real drive unit

Overview

Flux density, measured in tesla, is the single most important number in a motor's magnetic circuit — it directly sets how much force the machine can produce per ampere.

In depth

Formula
MMF = N × I

Magnetomotive force is the product of turns and current — the 'push' driving flux around a magnetic circuit, directly analogous to voltage in an electrical circuit.

Formula
B = MMF ÷ (gap × reluctance factor)

Flux density in the air gap is the MMF divided by the reluctance of the magnetic path, which is dominated by the air gap because air conducts flux roughly a thousand times worse than steel.

Virtual laboratory

Lab: Experiment with magnetic fields

Vary current, turns and air gap and watch flux density and force respond.

Objective: Produce at least 1.2 T in the air gap without exceeding 250 A of coil current.
Coil current180 A
Turns60 turns
Air gap0.8 mm
Conductor length in field160 mm
Air-gap flux density
0.02T
Magnetomotive force
10800A·turns
Force on conductor
0N
Saturation margin
99%
Targets not met yet — keep adjusting the parameters.
Theory

Magnetomotive force is turns times current. Flux density in the gap is that MMF divided by the reluctance of the magnetic circuit, which is dominated by the air gap because air is roughly a thousand times less permeable than steel. Beyond about 1.8 T the iron saturates and further current buys almost nothing.

Key takeaways

Remember this
  • Magnetomotive force (turns × current) is the driving quantity behind flux.
  • The air gap dominates the magnetic circuit's reluctance.
  • Iron saturation around 1.8 T caps how much flux density is achievable.
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