Magnetic Flux Converter
Convert magnetic flux between webers, milliwebers, microwebers, nanowebers, and maxwells. Enter a value, then choose the From unit and To unit.
Convert Magnetic Flux Between Units
Magnetic Flux Conversion Formula
Where:
- \(\Phi_{\text{from}}\) — the entered magnetic flux.
- \(\Phi_{\text{to}}\) — the converted magnetic flux.
- \(f_{\text{from}}\) and \(f_{\text{to}}\) — the respective units’ values in webers.
The converter first expresses the input in webers, then divides by the value of the destination unit in webers. This formula applies to flux units; Wb/m² is a flux density unit and cannot be converted to flux without an area.
Magnetic Flux – Calculation Example
Example: convert the default value of 1 weber (Wb) to maxwells (Mx). One maxwell equals \(10^{-8}\) Wb.
\[1\ \mathrm{Wb}\times\frac{1\ \mathrm{Wb}}{10^{-8}\ \mathrm{Wb/Mx}}=100{,}000{,}000\ \mathrm{Mx}\]
Result: 1 Wb = 100,000,000 Mx.
How to use the calculator
- Enter a nonnegative number in Magnetic flux value.
- Choose the unit of that number in From unit.
- Choose the unit you need in To unit.
- Read the Converted Magnetic Flux result. For a flux conversion, choose Wb, mWb, µWb, nWb, or Mx in both unit fields.
For example, leave the default settings at 1, Wb, and Mx to obtain 100,000,000 Mx. You can reverse the selections to convert maxwells back to webers. If you are copying a value from a specification, check its unit symbol before entering it: mWb and µWb differ by a factor of 1,000.
What magnetic flux means
Magnetic flux describes the magnetic field passing through a specified surface. Its SI unit is the weber (Wb); the maxwell (Mx) is a smaller unit used in the centimeter–gram–second (CGS) system. A weber is also equivalent to a volt-second (V·s), although V·s is not a selectable unit in this calculator. Flux conversions change how a quantity is expressed, not the physical quantity itself.
Flux depends on both the field and the surface. For a uniform magnetic field through a flat area, its magnitude is \(\Phi=BA\cos\theta\), where \(B\) is magnetic flux density, \(A\) is area, and \(\theta\) is the angle between the field and the surface normal. A field tilted relative to the surface normal produces less flux through that surface than the same field directed straight through it. For a field that varies over the surface, finding total flux requires accounting for that variation rather than multiplying one field value by the whole area.
Flux is useful when interpreting transformer and coil specifications because a changing flux through a circuit is associated with an induced voltage. Converting units helps you compare values reported in different systems, but it does not calculate induced voltage or determine the field geometry. If the quantity you have is in teslas or Wb/m², use the magnetic flux density converter for density units instead.
Conversion factors and practical limits
The table gives the weber value of each supported flux unit. For instance, converting from µWb to mWb divides the input’s weber value by \(10^{-3}\). Choose units that keep the result at a useful scale: nWb may be easier to read than a very small decimal number of webers.
| Unit | Value in webers |
|---|---|
| Weber (Wb) | 1 Wb |
| Milliweber (mWb) | \(10^{-3}\) Wb |
| Microweber (µWb) | \(10^{-6}\) Wb |
| Nanoweber (nWb) | \(10^{-9}\) Wb |
| Maxwell (Mx) | \(10^{-8}\) Wb |
Do not use Wb/m² for a flux conversion. The unit appears in the menus, but it measures magnetic flux density, not magnetic flux. The calculator assigns it the same numerical factor as Wb; a result involving Wb/m² therefore does not represent a valid conversion between flux and density. Converting between those quantities requires an area and information about the field’s direction and distribution. For a uniform field perpendicular to a flat surface, flux equals flux density multiplied by area.
The input accepts nonnegative values, so this tool is intended for magnitudes rather than signed flux through an oriented surface. Results are rounded to at most 10 decimal places; a sufficiently small result in webers may therefore display as zero. If that happens, select a smaller output unit, such as nWb or Mx. To explore related magnetic quantities, see the magnetomotive force converter or the permeability converter; neither quantity is interchangeable with flux.
Frequently Asked Questions
How can I convert maxwells to microwebers by hand?
Multiply the value in maxwells by 0.01 to get microwebers. This follows because 1 Mx is \(10^{-8}\) Wb and 1 µWb is \(10^{-6}\) Wb. For example, 2,500 Mx is \(2{,}500\times0.01=25\) µWb. To convert microwebers back to maxwells, multiply by 100.
What is a normal or good magnetic flux value?
There is no universal normal or good value for magnetic flux. It depends on the magnetic field, the area it passes through, and the application. For scale, a uniform 1 T field passing straight through a 1 cm² surface produces \(10^{-4}\) Wb. Compare a measured value with specifications for the particular coil, magnet, or device rather than a general target.
How are maxwells related to gauss and square centimeters?
One maxwell is the flux through 1 cm² when a uniform 1 gauss field passes perpendicular to that area: \(1\ \mathrm{Mx}=1\ \mathrm{G\,cm^2}\). Gauss measures magnetic flux density, while maxwell measures flux, so they are not interchangeable on their own. This relationship is useful when working with specifications given in CGS units.
Is magnetic flux the same as flux linkage?
No. Flux linkage accounts for the flux through each turn of a coil; for \(N\) identical turns linking the same flux, \(\lambda=N\Phi\). For example, 0.002 Wb through each of 100 turns gives 0.2 Wb-turn of flux linkage. Do not enter a Wb-turn value as though it were the flux through one turn.
Can magnetic flux be zero when a magnetic field is present?
Yes. Flux through a surface can be zero even when the field is nonzero, such as when the field runs parallel to a flat surface. Signed contributions from different parts of a surface can also cancel. A zero flux value therefore does not necessarily mean there is no magnetic field; it describes the net field passing through that particular surface.
How can voltage measurements be used to estimate magnetic flux?
A changing flux linkage induces voltage according to \(V=-d\lambda/dt\), with the sign depending on the chosen orientation. Integrating the measured induced voltage over time gives the change in flux linkage; divide by the number of turns if each turn links the same flux. This estimates a change in flux, not its absolute starting value, and requires accounting for circuit voltage drops.
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