Magnetic Flux Converter
Free Magnetic flux Converter for electrical & magnetic units. Enter a value to see equivalent measurements across systems.
Magnetic Flux Converter
Calculator
Adjust values & calculateEnter your values below. Every result is computed in your browser โ no data is sent to any server.
Formula: Converted Value = Input x (From Unit Factor / To Unit Factor)
Worked example โ 0.006 Wb = 6 mWb = 600,000 Mx
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 Convert to Maxwell: 0.006 x 10^8 = 600,000 Mx This 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 EMF = -N x (delta Phi / delta t) EMF = -100 x (0.003 / 0.01) = -30 V The 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 do I convert between webers and maxwells?
One weber equals exactly 100 million (10^8) maxwells. The maxwell (Mx) is the CGS unit of magnetic flux, much smaller than the weber. To convert webers to maxwells, multiply by 10^8. To convert maxwells to webers, divide by 10^8. For example, 0.5 Wb equals 50,000,000 Mx. The maxwell is also called one magnetic flux line, as it originally represented a single line of magnetic force in Faraday visualization of magnetic fields.
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.
How does Faraday's law connect a change in flux to induced voltage?
Faraday's law states that the induced electromotive force equals the number of turns multiplied by the rate of change of flux, with a minus sign expressing Lenz's law opposition. A 200-turn coil whose flux changes by 0.02 Wb over 0.1 seconds induces 200 x 0.02 / 0.1 = 40 volts. Only changing flux induces voltage; a steady flux, however large, induces nothing, which is why transformers require alternating current.
How do I calculate the flux through a coil from field strength and area?
For a uniform field, flux equals the flux density B multiplied by the area A and by the cosine of the angle between the field and the surface normal. A 0.5 tesla field passing perpendicularly through 0.02 square metres gives 0.5 x 0.02 = 0.01 Wb. Tilting the coil reduces flux by the cosine term, reaching zero when the field lies in the plane of the coil, which is the basis of rotating generator output.
What is the difference between the tesla and the gauss?
Both measure flux density rather than flux itself. The tesla is the SI unit, equal to one weber per square meter, and the gauss is its CGS counterpart, equal to one maxwell per square centimeter. One tesla equals exactly 10,000 gauss. Because Earth's field is only about half a gauss, geophysical and instrumentation work often uses gauss or nanotesla, while magnet and electrical machine design uses tesla.
What is flux linkage and how does it differ from flux?
Flux linkage is the flux threading a coil multiplied by the number of turns, expressed in weber-turns. It is the quantity that actually determines induced voltage, since a small flux through many turns can link as strongly as a large flux through one. Flux is a property of the field and the surface, while flux linkage is a property of the circuit. Leakage flux that misses some turns reduces linkage below the ideal product.
How does magnetic flux relate to inductance and current?
Inductance is defined as flux linkage per ampere, so flux linkage equals inductance multiplied by current, and the flux per turn equals that product divided by the number of turns. A 0.5 henry coil of 100 turns carrying 2 amperes has 1 weber-turn of linkage and therefore 0.01 Wb through each turn. This is how a measured inductance is turned into the core flux needed to check a magnetic design.
Why does core saturation limit the usable flux in a magnetic circuit?
A ferromagnetic core carries flux because its magnetic domains align with the applied field, but once nearly all domains are aligned the core cannot supply more, and additional current produces almost no extra flux. Silicon steel typically saturates somewhere around 1.5 to 2 tesla and soft ferrites at a far lower level, a few tenths of a tesla. Beyond that point inductance collapses and magnetising current rises sharply.
References
Reviewed for accuracy by Manoj Kumar, Mathematics Educator ยท Editorial policy
Related Calculators
๐งฎMagnetic Field Strength Converter
Calculate magnetic field strength converter with inputs, formulas, and instant results.
๐งฎGauss to Tesla Converter
Convert magnetic field strength between gauss, tesla, and oersted.
๐งฎTorque Unit Converter
Calculate torque unit converter with inputs, formulas, and instant results.
๐งฎElectrical Resistance Converter (ฮฉ, kฮฉ, Mฮฉ)
Calculate electrical resistance unit converter with inputs, formulas, and instant results.
๐งฎTime Unit Converter
Calculate time unit converter with inputs, formulas, and instant results.
๐งฎArea Converter
Calculate area converter with inputs, formulas, and instant results.
๐งฎAresto Hectares Converter
Calculate aresto hectares converter with inputs, formulas, and instant results.
๐งฎCentimeter to Inch Converter
Calculate centimeter to inch converter with inputs, formulas, and instant results.