Understanding Maxwells to Milliwebers Conversion
The maxwell (Mx) is the CGS unit of magnetic flux, equal to one gauss-square-centimetre and to weber. The milliweber (mWb) is one-thousandth of the SI weber, the standard unit of magnetic flux. This conversion is used when older instrument readings or physics texts express flux in maxwells but modern calculations require SI-based milliwebers.
Conversion Formula
To convert Maxwells to Milliwebers, multiply by this factor:
Step-by-Step Example
Convert 25 Maxwells to Milliwebers.
How to Convert Maxwells to Milliwebers
Translate CGS magnetic flux in maxwells into SI-based milliwebers with one factor.
- Note your maxwell value: For example, start with 25 Mx.
- Multiply by the factor: Use 0.00001 milliweber per maxwell.
- Read the result: 25 × 0.00001 = 0.00025 mWb.
- Confirm the scale: A maxwell is far smaller than a milliweber, so the answer is a small decimal, here 0.00025 mWb.
maxwells to milliwebers conversion table
| maxwells (Mx) | milliwebers (mWb) |
|---|---|
| 0 | 0 |
| 1 | 0.00001 |
| 2 | 0.00002 |
| 3 | 0.00003 |
| 4 | 0.00004 |
| 5 | 0.00005 |
| 6 | 0.00006 |
| 7 | 0.00007 |
| 8 | 0.00008 |
| 9 | 0.00009 |
| 10 | 0.0001 |
| 15 | 0.00015 |
| 20 | 0.0002 |
| 25 | 0.00025 |
| 30 | 0.0003 |
| 40 | 0.0004 |
| 50 | 0.0005 |
| 60 | 0.0006 |
| 70 | 0.0007 |
| 80 | 0.0008 |
| 90 | 0.0009 |
| 100 | 0.001 |
| 150 | 0.0015 |
| 200 | 0.002 |
| 250 | 0.0025 |
| 300 | 0.003 |
| 400 | 0.004 |
| 500 | 0.005 |
| 600 | 0.006 |
| 700 | 0.007 |
| 800 | 0.008 |
| 900 | 0.009 |
| 1000 | 0.01 |
| 2000 | 0.02 |
| 3000 | 0.03 |
| 4000 | 0.04 |
| 5000 | 0.05 |
| 10000 | 0.1 |
| 25000 | 0.25 |
| 50000 | 0.5 |
| 100000 | 1 |
| 250000 | 2.5 |
| 500000 | 5 |
| 1000000 | 10 |
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 milliweber?
The milliweber is a submultiple of the weber, the SI unit of magnetic flux, equal to one-thousandth of a weber. It is convenient for describing the modest flux levels found in transformer cores, motors, and inductors.
Definition
One milliweber is 10⁻³ weber:
Because the weber equals 1 V·s = 1 T·m², a milliweber corresponds to a volt-second of 0.001 V·s, or a magnetic flux density of one tesla passing through an area of 10 cm² (0.001 m²). It also equals 10⁵ maxwells.
Origin and History
The milliweber inherits its name from Wilhelm Eduard Weber (1804–1891), whose surname was adopted for the SI flux unit in the twentieth century. The "milli-" prefix, from the Latin for one-thousandth, has been part of the metric system since its late-eighteenth-century origins.
Law and Notable Facts
As an SI-prefixed unit, the milliweber is fully official within the International System. Engineers favour it because transformer and inductor flux values often fall in the milliweber range, keeping numbers readable rather than resorting to small fractions of a weber.
Real-World Examples and Conversions
- 1 mWb = 0.001 Wb = 10⁵ maxwells.
- A 0.5 T field through a 20 cm² pole face gives 1 mWb of flux.
- 1000 mWb = 1 Wb.
- A coil with 1 mWb linking 200 turns has a flux linkage of 0.2 Wb-turns.
Frequently Asked Questions
How many milliwebers are in one maxwell?
One maxwell equals 0.00001 milliweber, because a maxwell is weber and a milliweber is weber.
What is a maxwell?
The maxwell is the CGS unit of magnetic flux, defined as the flux through one square centimetre of area with a field of one gauss. It equals weber.
How do I convert maxwells to milliwebers?
Multiply the number of maxwells by 0.00001. For example, 500 maxwells equal 500 × 0.00001 = 0.005 milliwebers.
How many maxwells make one milliweber?
There are 100,000 maxwells in one milliweber, the reciprocal of the 0.00001 factor.
When is this conversion needed?
It is useful when older magnetics literature or gauss-based instruments report flux in maxwells but your SI calculations use webers and milliwebers.
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Complete maxwells conversion table
| Unit | Result |
|---|---|
| webers (Wb) | 1e-8 Wb |
| milliwebers (mWb) | 0.00001 mWb |