Long solenoid inductance
Problem type:
Axisymmetric problem of DC magnetics.
Geometry:
R1 = 30 mm, R2 = 35 mm.
Given:
Current in the conductor i = 10 A;
Number of turns N = 100,
(number of turns per unit length n = N/l = 200 m-1);
Problem:
Calculate inductance of the long solenoid.
Solution:
Inductance of the long solenoid can be obtained from the equation:
L = N 2 · μ0 A / l = N n · μ0 A,
where A is a cross-section area of the core (m2).
To calculate the inductance in QuickField you should divide magnetic flux by the source current.
L = N · Φ / i

Results:
|
QuickField |
Theory |
Δ, % |
Inductance L, μH/m |
83.55 |
83.40 |
0.18% |
Download simulation files.
References:
- John Bird, "Electrical circuit theory and technology", p.77. ISBN-13: 978 0 7506 8139 1.

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