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Long solenoid inductance

Problem type:
Axisymmetric problem of DC magnetics.

Geometry:

Long solenoid inductance

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

Long solenoid magnetic field

Results:

 

QuickField

Theory

Δ, %

Inductance L, μH/m

83.55

83.40

0.18%

Download Download simulation files.

References:

  • John Bird, "Electrical circuit theory and technology", p.77. ISBN-13: 978 0 7506 8139 1.

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