Understanding webers to maxwells Conversion
The weber (Wb) is the SI unit of magnetic flux, defined as the flux that, decreasing to zero in one second, induces one volt in a single-turn loop. The maxwell (Mx) is the much smaller CGS unit, equal to one line of magnetic flux, still used in some magnetics and electrical-machine literature. Because the CGS system uses the gauss and centimetre, one weber equals a very large number of maxwells.
Conversion Formula
To convert webers to maxwells, multiply by this factor:
Step-by-Step Example
Convert 25 webers to maxwells.
How to Convert webers to maxwells
Move from the SI magnetic-flux unit to the CGS maxwell used in legacy magnetics work.
- Note the flux in webers: record the SI magnetic-flux value.
- Multiply by 100,000,000: each weber contains maxwells.
- Reverse if required: multiply maxwells by to return to webers.
- Worked result: 25 Wb × 100,000,000 = 2,500,000,000 Mx.
webers to maxwells conversion table
| webers (Wb) | maxwells (Mx) |
|---|---|
| 0 | 0 |
| 1 | 100000000 |
| 2 | 200000000 |
| 3 | 300000000 |
| 4 | 400000000 |
| 5 | 500000000 |
| 6 | 600000000 |
| 7 | 700000000 |
| 8 | 800000000 |
| 9 | 900000000 |
| 10 | 1000000000 |
| 15 | 1500000000 |
| 20 | 2000000000 |
| 25 | 2500000000 |
| 30 | 3000000000 |
| 40 | 4000000000 |
| 50 | 5000000000 |
| 60 | 6000000000 |
| 70 | 7000000000 |
| 80 | 8000000000 |
| 90 | 9000000000 |
| 100 | 10000000000 |
| 150 | 15000000000 |
| 200 | 20000000000 |
| 250 | 25000000000 |
| 300 | 30000000000 |
| 400 | 40000000000 |
| 500 | 50000000000 |
| 600 | 60000000000 |
| 700 | 70000000000 |
| 800 | 80000000000 |
| 900 | 90000000000 |
| 1000 | 100000000000 |
| 2000 | 200000000000 |
| 3000 | 300000000000 |
| 4000 | 400000000000 |
| 5000 | 500000000000 |
| 10000 | 1000000000000 |
| 25000 | 2500000000000 |
| 50000 | 5000000000000 |
| 100000 | 10000000000000 |
| 250000 | 25000000000000 |
| 500000 | 50000000000000 |
| 1000000 | 100000000000000 |
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.
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.
Frequently Asked Questions
How many maxwells are in one weber?
One weber equals exactly 100,000,000 maxwells ( Mx). The maxwell is a small CGS flux unit, so the count is large.
What is the relationship between the weber and the maxwell?
The maxwell is the CGS-Gaussian unit of magnetic flux and the weber is its SI counterpart; by definition.
How do I convert maxwells back to webers?
Multiply the maxwell value by (divide by 100 million); for example, 5,000,000 Mx equals 0.05 Wb.
Where is the maxwell still used?
It appears in older electromagnetics texts, transformer and motor design notes, and some magnetometer specifications rooted in the CGS tradition.
What is 2 Wb in maxwells?
Multiply 2 by 100,000,000 to get 200,000,000 maxwells.
People also convert
Complete webers conversion table
| Unit | Result |
|---|---|
| milliwebers (mWb) | 1000 mWb |
| maxwells (Mx) | 100000000 Mx |