Understanding webers to milliwebers Conversion
The weber (Wb) is the SI unit of magnetic flux, and the milliweber (mWb) is one-thousandth of a weber. The milliweber is handy for small transformers, sensors and inductive components where flux values are fractions of a weber. Converting between them is a straightforward decimal scaling.
Conversion Formula
To convert webers to milliwebers, multiply by this factor:
Step-by-Step Example
Convert 25 webers to milliwebers.
How to Convert webers to milliwebers
Rescale an SI magnetic-flux value into milliwebers for small magnetic circuits.
- Take the flux in webers: record the SI value.
- Multiply by 1000: shift the decimal three places to obtain milliwebers.
- Reverse when needed: divide by 1000 to return to webers.
- Worked result: 25 Wb × 1000 = 25000 mWb.
webers to milliwebers conversion table
| webers (Wb) | milliwebers (mWb) |
|---|---|
| 0 | 0 |
| 1 | 1000 |
| 2 | 2000 |
| 3 | 3000 |
| 4 | 4000 |
| 5 | 5000 |
| 6 | 6000 |
| 7 | 7000 |
| 8 | 8000 |
| 9 | 9000 |
| 10 | 10000 |
| 15 | 15000 |
| 20 | 20000 |
| 25 | 25000 |
| 30 | 30000 |
| 40 | 40000 |
| 50 | 50000 |
| 60 | 60000 |
| 70 | 70000 |
| 80 | 80000 |
| 90 | 90000 |
| 100 | 100000 |
| 150 | 150000 |
| 200 | 200000 |
| 250 | 250000 |
| 300 | 300000 |
| 400 | 400000 |
| 500 | 500000 |
| 600 | 600000 |
| 700 | 700000 |
| 800 | 800000 |
| 900 | 900000 |
| 1000 | 1000000 |
| 2000 | 2000000 |
| 3000 | 3000000 |
| 4000 | 4000000 |
| 5000 | 5000000 |
| 10000 | 10000000 |
| 25000 | 25000000 |
| 50000 | 50000000 |
| 100000 | 100000000 |
| 250000 | 250000000 |
| 500000 | 500000000 |
| 1000000 | 1000000000 |
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 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 weber?
There are exactly 1000 milliwebers in one weber, since milli denotes one-thousandth.
When is the milliweber preferred?
It suits small magnetic circuits such as compact transformers, relays and flux sensors, where whole-weber values would be inconveniently small decimals.
How do I convert milliwebers back to webers?
Divide by 1000 (multiply by 0.001); for instance, 250 mWb equals 0.25 Wb.
Is the weber-to-milliweber conversion exact?
Yes, it is an exact decimal-prefix relationship with no approximation, unlike conversions between different unit systems.
What is 0.75 Wb in milliwebers?
Multiply 0.75 by 1000 to get 750 mWb.
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Complete webers conversion table
| Unit | Result |
|---|---|
| milliwebers (mWb) | 1000 mWb |
| maxwells (Mx) | 100000000 Mx |