How to Calculate Magnetic Resistance - Tutorial

How to Calculate Magnetic Reluctance of an Electrical Circuit - Definition, Formula and Example

Definition :

Magnetic reluctance is the ratio of the amplitude of the magneto-motive force (MMF) in an electrical circuit to the amplitude of the magnetic flux in this circuit.

Formula :
Magnetic Reluctance (R) = L / A μ μ0
Where,

L = Length of circuit A = Cross-sectional area of the circuit μ = Permeability of vacuum(4 π 10 -7 N A-2) μo = Relative magnetic permeability

Example:

Consider a steel with the mean length of 20 m, the cross section of 2 m2. What is the Magnetic reluctance ?

Given,

Length of circuit = 20 Cross-sectional area = 2 Permeability of steel = 875 *10 -6

To Find,

Magnetic resistance

Solution :

Substitute the given values in the formula,

Magnetic reluctance (R) = L / A μ μ0
= 20/2 x 4 x 3.14 x 10-7 x 875 x 10-6
= 20/21980 x 10-13
= 0.0087 At/Wb

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