Enter the magnetic path length, cross-sectional area, and permeability into the calculator to determine the reluctance of a magnetic circuit. Reluctance is a measure of the opposition that a magnetic circuit presents to magnetic flux.
Reluctance Formula
The following formula is used to calculate the reluctance of a magnetic circuit:
R = frac{l}{mu A}Variables:
- R is the reluctance (ampere-turns per weber)
- l is the magnetic path length (meters)
- (mu) is the permeability of the material (henries per meter)
- A is the cross-sectional area of the path (meters squared)
To calculate the reluctance, divide the magnetic path length by the product of the permeability and the cross-sectional area.
What is Reluctance?
Reluctance is a property of a magnetic circuit which quantifies the resistance to the passage of magnetic flux. It is often referred to as magnetic resistance and is a function of the material’s permeability, the length of the path that the magnetic flux follows, and the cross-sectional area through which the flux travels. Reluctance is an important concept in the design of magnetic circuits, such as transformers, inductors, and electric motors.
How to Calculate Reluctance?
The following steps outline how to calculate the reluctance of a magnetic circuit:
- First, determine the magnetic path length (l) in meters.
- Next, determine the cross-sectional area (A) in meters squared.
- Next, determine the permeability ((mu)) in henries per meter.
- Use the formula to calculate the reluctance (R).
- After inserting the variables and calculating the result, check your answer with the calculator above.
Example Problem:
Use the following variables as an example problem to test your knowledge.
Magnetic path length (l) = 0.5 meters
Cross-sectional area (A) = 0.01 meters squared
Permeability ((mu)) = 1.2566370614 x 10^-6 henries per meter (permeability of free space)
