Magnetic Flux Converter
Free Magnetic flux Converter for electrical & magnetic units. Enter a value to see equivalent measurements across systems.
Reviewed by Manoj Kumar, Mathematics Educator
Formula
Converted Value = Input x (From Unit Factor / To Unit Factor)
Magnetic flux conversion uses the weber (Wb) as the base SI unit. The weber equals one volt-second and one tesla-square-meter. The CGS unit maxwell equals 10^-8 webers. All conversions multiply the input by the source unit factor to obtain webers, then divide by the target unit factor.
Worked Examples
Example 1: Transformer Core Flux
Problem:A transformer core has a flux density of 1.5 T and a cross-sectional area of 0.004 m2. Find the total flux in webers and maxwells.
Solution:Phi = B x A = 1.5 x 0.004 = 0.006 Wb = 6 mWb\nConvert to Maxwell: 0.006 x 10^8 = 600,000 Mx\nThis is typical for a small power transformer core.
Result:0.006 Wb = 6 mWb = 600,000 Mx
Example 2: Induced EMF Calculation
Problem:Magnetic flux through a 100-turn coil changes from 5 mWb to 2 mWb in 0.01 seconds. What EMF is induced?
Solution:Change in flux = 5 - 2 = 3 mWb = 0.003 Wb\nEMF = -N x (delta Phi / delta t)\nEMF = -100 x (0.003 / 0.01) = -30 V\nThe magnitude of induced EMF is 30 volts.
Result:EMF = 30 V from 3 mWb flux change
Frequently Asked Questions
What is magnetic flux and what is a weber?
Magnetic flux is the total magnetic field (B) passing through a given surface area. It is calculated as the surface integral of the magnetic flux density over that area. The weber (Wb) is the SI unit of magnetic flux, named after German physicist Wilhelm Eduard Weber. One weber equals one volt-second, meaning a change of one weber per second through a coil induces one volt of electromotive force. One weber also equals one tesla multiplied by one square meter (1 Wb = 1 T * m2).
How is magnetic flux related to electromagnetic induction?
According to Faraday law of electromagnetic induction, the electromotive force (EMF) induced in a circuit equals the negative rate of change of magnetic flux through that circuit. Mathematically, EMF = -d(Phi)/dt, where Phi is the magnetic flux in webers and t is time in seconds. This principle is the foundation of all electric generators, transformers, and inductors. A flux change of one weber per second induces exactly one volt.
What is the difference between magnetic flux and magnetic flux density?
Magnetic flux (Phi, in webers) is the total amount of magnetic field passing through a surface, while magnetic flux density (B, in tesla) is the magnetic field strength per unit area at a specific point. They are related by Phi = B * A * cos(theta), where A is the area and theta is the angle between the field and the surface normal. Think of flux density as the concentration of field lines at a point, and flux as the total count of field lines through an entire surface.
References
Reviewed by Manoj Kumar, Mathematics Educator · Editorial policy