maxwells (Mx) to webers (Wb) conversion

1 Mx = 1e-8 WbWbMx
Formula
1 Mx = 1e-8 Wb

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 10810⁸ 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

1 Mx=1×108 Wb1\ \text{Mx} = 1 \times 10⁻⁸\ \text{Wb}

To convert Maxwells to Webers, multiply by this factor:

Wb=Mx×1×108\text{Wb} = \text{Mx} \times 1 \times 10⁻⁸

Step-by-Step Example

Convert 25 Maxwells to Webers.

Wb=25×1×108=2.5×107 Wb\text{Wb} = 25 \times 1 \times 10⁻⁸ = 2.5 \times 10⁻⁷\ \text{Wb}

How to Convert Maxwells to Webers

Move CGS magnetic flux in maxwells into the SI weber with one multiplication.

  1. Take your maxwell value: For example, start with 25 Mx.
  2. Multiply by the factor: Use 1×1081 \times 10⁻⁸ weber per maxwell.
  3. Read the result: 25 × 10810⁻⁸ = 2.5×1072.5 \times 10⁻⁷ Wb.
  4. Expect a very small number: One weber equals 100 million maxwells, so maxwell values shrink dramatically, here to 2.5×1072.5 \times 10⁻⁷ Wb.

maxwells to webers conversion table

maxwells (Mx)webers (Wb)
00
11e-8
22e-8
33e-8
44e-8
55e-8
66e-8
77e-8
88e-8
99e-8
101e-7
151.5e-7
202e-7
252.5e-7
303e-7
404e-7
505e-7
606e-7
707e-7
808e-7
909e-7
1000.000001
1500.0000015
2000.000002
2500.0000025
3000.000003
4000.000004
5000.000005
6000.000006
7000.000007
8000.000008
9000.000009
10000.00001
20000.00002
30000.00003
40000.00004
50000.00005
100000.0001
250000.00025
500000.0005
1000000.001
2500000.0025
5000000.005
10000000.01

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:

1 Mx=1.00000×108 Wb1\ \text{Mx} = 1.00000\times10^{-8}\ \text{Wb}

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:

1 Wb=1.00000 Wb1\ \text{Wb} = 1.00000\ \text{Wb}

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 1×1081 \times 10⁻⁸ weber, since the weber is defined as exactly 10810⁸ 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 1×1081 \times 10⁻⁸. For example, 1,000,000 maxwells equal 106×108=0.0110⁶ \times 10⁻⁸ = 0.01 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

Mx
UnitResult
webers (Wb)1e-8 Wb
milliwebers (mWb)0.00001 mWb

Magnetic flux conversions