Understanding Maxwells to Webers Conversion
The maxwell (Mx) is the CGS unit of magnetic flux, defined as one gauss acting over one square centimetre. The weber (Wb) is the SI unit of magnetic flux, equal to one volt-second and to maxwells. This conversion appears in electromagnetics whenever legacy CGS flux values must be brought into the SI system for calculations involving voltage, inductance, or Faraday's law.
Conversion Formula
To convert Maxwells to Webers, multiply by this factor:
Step-by-Step Example
Convert 25 Maxwells to Webers.
How to Convert Maxwells to Webers
Move CGS magnetic flux in maxwells into the SI weber with one multiplication.
- Take your maxwell value: For example, start with 25 Mx.
- Multiply by the factor: Use weber per maxwell.
- Read the result: 25 × = Wb.
- Expect a very small number: One weber equals 100 million maxwells, so maxwell values shrink dramatically, here to Wb.
maxwells to webers conversion table
| maxwells (Mx) | webers (Wb) |
|---|---|
| 0 | 0 |
| 1 | 1e-8 |
| 2 | 2e-8 |
| 3 | 3e-8 |
| 4 | 4e-8 |
| 5 | 5e-8 |
| 6 | 6e-8 |
| 7 | 7e-8 |
| 8 | 8e-8 |
| 9 | 9e-8 |
| 10 | 1e-7 |
| 15 | 1.5e-7 |
| 20 | 2e-7 |
| 25 | 2.5e-7 |
| 30 | 3e-7 |
| 40 | 4e-7 |
| 50 | 5e-7 |
| 60 | 6e-7 |
| 70 | 7e-7 |
| 80 | 8e-7 |
| 90 | 9e-7 |
| 100 | 0.000001 |
| 150 | 0.0000015 |
| 200 | 0.000002 |
| 250 | 0.0000025 |
| 300 | 0.000003 |
| 400 | 0.000004 |
| 500 | 0.000005 |
| 600 | 0.000006 |
| 700 | 0.000007 |
| 800 | 0.000008 |
| 900 | 0.000009 |
| 1000 | 0.00001 |
| 2000 | 0.00002 |
| 3000 | 0.00003 |
| 4000 | 0.00004 |
| 5000 | 0.00005 |
| 10000 | 0.0001 |
| 25000 | 0.00025 |
| 50000 | 0.0005 |
| 100000 | 0.001 |
| 250000 | 0.0025 |
| 500000 | 0.005 |
| 1000000 | 0.01 |
What is the maxwell?
The maxwell is the CGS-Gaussian unit of magnetic flux, representing the flux through one square centimetre of area in a field of one gauss. It survives in older electrical-engineering texts and legacy magnetics work.
Definition
One maxwell equals one gauss-square-centimetre, which converts to 10⁻⁸ weber in SI units:
Since 1 gauss = 10⁻⁴ tesla and 1 cm² = 10⁻⁴ m², the product is 10⁻⁸ T·m² = 10⁻⁸ Wb. Conversely, 1 weber = 10⁸ maxwells.
Origin and History
The unit is named after the Scottish physicist James Clerk Maxwell (1831–1879), whose equations unified electricity, magnetism, and light. Originally called the "line" of magnetic force in the CGS system, it was renamed the maxwell by the International Electrotechnical Commission around 1900.
Law and Notable Facts
The maxwell is not an SI unit and its use is deprecated in favour of the weber, though it persists in the phrase "lines of flux," since one maxwell corresponds to a single line of magnetic induction in the classical field-line picture.
Real-World Examples and Conversions
- 1 Mx = 10⁻⁸ Wb; 1 Wb = 100,000,000 Mx.
- A 1 gauss field through 1 cm² produces exactly 1 maxwell.
- 1 mWb = 100,000 Mx.
- The Earth's field through a 1 cm² loop yields roughly 0.5 Mx.
What is the weber?
The weber is the SI unit of magnetic flux, quantifying the total magnetic field passing through a given surface. It is fundamental to electromagnetism, appearing in Faraday's law of induction.
Definition
One weber is the magnetic flux that, linking a single-turn circuit, induces an electromotive force of one volt as it is reduced to zero uniformly in one second:
In SI base and derived units, the weber is coherent: 1 Wb = 1 V·s = 1 T·m² = 1 kg·m²·s⁻²·A⁻¹. Equivalently, a magnetic flux density of one tesla through an area of one square metre yields one weber.
Origin and History
The unit is named after the German physicist Wilhelm Eduard Weber (1804–1891), who collaborated with Carl Friedrich Gauss on geomagnetism and absolute electrical units. The name "weber" was adopted by the International Electrotechnical Commission in 1935 and formally incorporated into the SI system.
Law and Notable Facts
The weber is an official SI derived unit. By Faraday's law, the rate of change of flux in webers per second equals the induced voltage in volts, which is why transformers and generators are ultimately governed by weber-scale flux changes. One weber corresponds to 10⁸ maxwells in the older CGS system.
Real-World Examples and Conversions
- 1 Wb = 10⁸ maxwells = 1000 mWb.
- A 1 T MRI magnet threading a 0.01 m² area produces a flux of 0.01 Wb.
- A single turn cutting 1 Wb of flux in 0.1 s induces 10 V.
- 1 Wb through 1 m² is exactly 1 tesla of flux density.
Frequently Asked Questions
How many webers are in one maxwell?
One maxwell equals weber, since the weber is defined as exactly maxwells.
What is the weber?
The weber is the SI unit of magnetic flux, equal to one volt-second. A changing flux of one weber per second induces one volt in a single-turn loop by Faraday's law.
How do I convert maxwells to webers?
Multiply the number of maxwells by . For example, 1,000,000 maxwells equal weber.
How many maxwells are in one weber?
There are exactly 100,000,000 (one hundred million) maxwells in one weber.
Why convert maxwells to webers?
Older CGS-Gaussian electromagnetics reports flux in maxwells, but SI formulas for inductance and induced voltage require webers, so the conversion is a common bridging step.
People also convert
Complete maxwells conversion table
| Unit | Result |
|---|---|
| webers (Wb) | 1e-8 Wb |
| milliwebers (mWb) | 0.00001 mWb |