Multi turn winding inductance^*

The inductance of multi turn winding can be calculated with DC magnetic module of QuickField. We may consider a multi turn winding as several single turns connected in series. Let's start with the single-turn winding:

Inductance of the single turn winding can be obtained from the equation:

L = ψ / i, where ψ - is a flux across the winding.

To calculate the magnetic flux in QuickField you should use the integral calculator:

Multi-turn winding, considered as a series of single-turn windings, may be shown as:

Magnetic flux linked with each turn is Φ = n·ψ. The single turn inductance is:

L₁ = Φ / i

Multi turn winding inductance (series connection):

L_n = n·L₁ = n · Φ / i = n · n·ψ / i = n² ·ψ / i = n² · L

Multi turn winding inductance (parallel connection):

L_n = Φ / I = n·ψ / n·i = ψ / i = L

The inductance of multi turn winding (with n turns connected in series) can be obtained by following algorithm:

1. Replace multi turn winding by single turn with total current I = n·i.
2. Calculate magnetic flux Φ.
3. Calculate inductance of the single turn L = Φ / I.
4. Multiply inductance by the n².

• Download one turn loop simulation problem files.

^*We do not guarantee that articles in the section "Glossary" are full and exact, and may be used as a reference of any kind. In fact - they are not! These are just informal hints, letting the students and amateurs better understand what is the specific term about. Experts should not read it at all! However, we will appreciate all expert recommendations about improving and extending our glossary.