Magnetic Flux Converter
Free Magnetic flux Converter for electrical & magnetic units. Enter a value to see equivalent measurements across systems.
Calculator
Adjust values & calculateAll Conversions
| Unit | Value |
|---|---|
| Weber (Wb) | 1.000000e+0 |
| Milliweber (mWb) | 1.000000e+3 |
| Microweber (uWb) | 1.000000e+6 |
| Nanoweber (nWb) | 1.000000e+9 |
| Kiloweber (kWb) | 1.000000e-3 |
| Maxwell (Mx) | 1.000000e+8 |
| Kilomaxwell (kMx) | 1.000000e+5 |
| Volt-second (V*s) | 1.000000e+0 |
| Tesla square meter (T*m2) | 1.000000e+0 |
| Magnetic flux line | 1.000000e+8 |
Formula
Magnetic flux conversion uses the weber (Wb) as the base SI unit. The weber equals one volt-second and one tesla-square-meter. The CGS unit maxwell equals 10^-8 webers. All conversions multiply the input by the source unit factor to obtain webers, then divide by the target unit factor.
Last reviewed: December 2025
Worked Examples
Example 1: Transformer Core Flux
Example 2: Induced EMF Calculation
Background & Theory
The Magnetic Flux Converter applies the following established principles and formulas. Unit conversion is the process of expressing a quantity in a different unit of measurement while preserving its physical meaning. At the foundation of modern measurement lies the International System of Units (SI), which defines seven base units: the meter for length, kilogram for mass, second for time, ampere for electric current, kelvin for thermodynamic temperature, mole for amount of substance, and candela for luminous intensity. All other units, called derived units, are defined as algebraic combinations of these seven. Dimensional analysis is the principal method for performing unit conversions. By treating units as algebraic quantities that can be multiplied, divided, and cancelled, a conversion factor chain allows a value expressed in one unit to be rewritten in another without altering its physical magnitude. For example, to convert 60 miles per hour to meters per second, one multiplies by a chain of conversion factors each equal to one: (1609.34 m / 1 mile) × (1 hour / 3600 s). Metric prefixes enable compact expression of quantities across extreme ranges of magnitude. Standard prefixes span from nano (10^-9) through micro (10^-6) and milli (10^-3) up through kilo (10^3), mega (10^6), and giga (10^9), and beyond in both directions. These prefixes are strictly multiplicative and apply consistently to any SI base or derived unit. Temperature conversions require affine transformations rather than simple scaling. To convert Celsius to Fahrenheit the formula is °F = (°C × 9/5) + 32, while the conversion to the absolute Kelvin scale is K = °C + 273.15. These formulas reflect the different zero points and degree-size conventions of each scale. Significant figures govern how precision is preserved through calculations. A result should not express more precision than the least precise input value permits. In digital storage, IEEE and IEC standards distinguish between decimal prefixes (kilobyte = 1000 bytes) and binary prefixes (kibibyte = 1024 bytes), a distinction that has practical consequences for how storage capacity is reported by manufacturers versus operating systems. Unit coherence — ensuring that all quantities in an equation share a consistent unit system — is essential for obtaining correct results.
History
The history behind the Magnetic Flux Converter traces back through the following developments. Human beings have been measuring and comparing quantities since before recorded history. The earliest known measurement units were body-based: the cubit (the distance from elbow to fingertip), the foot, the hand, and the digit. The furlong originated as the length of a furrow a team of oxen could plow without resting. These anthropomorphic standards were practical for local use but differed between regions and kingdoms, creating persistent difficulties in trade and construction. The ancient Egyptians standardized the royal cubit at approximately 52.4 centimeters and distributed calibrated granite rods to ensure consistency across building projects, including the pyramids. Roman engineers used the mile (mille passuum, one thousand double paces) and spread these standards throughout their empire via road networks. Despite these efforts, measurement diversity persisted across medieval Europe, hampering commerce. The French Revolution created political will for radical standardization. In 1795 France officially adopted the metric system, defining the meter as one ten-millionth of the distance from the equator to the North Pole along the Paris meridian. This gave the world its first fully decimal, rationally constructed measurement system. The Metre Convention of 1875 established the International Bureau of Weights and Measures (BIPM) in Sevres, France, creating a permanent international body to maintain physical artifact standards and coordinate global metrology. For over a century, the kilogram was defined by a platinum-iridium cylinder locked in a vault near Paris. In 1999, a stark demonstration of what unit inconsistency costs occurred when NASA's Mars Climate Orbiter was lost because one engineering team used pound-force seconds while another used newton seconds. The spacecraft entered the Martian atmosphere at the wrong angle and was destroyed, at a cost of 327 million dollars. In 2019 the SI underwent its most significant revision, redefining all seven base units in terms of fixed numerical values of fundamental physical constants such as the speed of light, Planck's constant, and the elementary charge. This eliminated any reliance on physical artifacts and made the measurement system permanently stable and universally reproducible.
Frequently Asked Questions
Formula
Converted Value = Input x (From Unit Factor / To Unit Factor)
Magnetic flux conversion uses the weber (Wb) as the base SI unit. The weber equals one volt-second and one tesla-square-meter. The CGS unit maxwell equals 10^-8 webers. All conversions multiply the input by the source unit factor to obtain webers, then divide by the target unit factor.
Worked Examples
Example 1: Transformer Core Flux
Problem: A transformer core has a flux density of 1.5 T and a cross-sectional area of 0.004 m2. Find the total flux in webers and maxwells.
Solution: Phi = B x A = 1.5 x 0.004 = 0.006 Wb = 6 mWb\nConvert to Maxwell: 0.006 x 10^8 = 600,000 Mx\nThis is typical for a small power transformer core.
Result: 0.006 Wb = 6 mWb = 600,000 Mx
Example 2: Induced EMF Calculation
Problem: Magnetic flux through a 100-turn coil changes from 5 mWb to 2 mWb in 0.01 seconds. What EMF is induced?
Solution: Change in flux = 5 - 2 = 3 mWb = 0.003 Wb\nEMF = -N x (delta Phi / delta t)\nEMF = -100 x (0.003 / 0.01) = -30 V\nThe magnitude of induced EMF is 30 volts.
Result: EMF = 30 V from 3 mWb flux change
Frequently Asked Questions
What is magnetic flux and what is a weber?
Magnetic flux is the total magnetic field (B) passing through a given surface area. It is calculated as the surface integral of the magnetic flux density over that area. The weber (Wb) is the SI unit of magnetic flux, named after German physicist Wilhelm Eduard Weber. One weber equals one volt-second, meaning a change of one weber per second through a coil induces one volt of electromotive force. One weber also equals one tesla multiplied by one square meter (1 Wb = 1 T * m2).
How is magnetic flux related to electromagnetic induction?
According to Faraday law of electromagnetic induction, the electromotive force (EMF) induced in a circuit equals the negative rate of change of magnetic flux through that circuit. Mathematically, EMF = -d(Phi)/dt, where Phi is the magnetic flux in webers and t is time in seconds. This principle is the foundation of all electric generators, transformers, and inductors. A flux change of one weber per second induces exactly one volt.
What is the difference between magnetic flux and magnetic flux density?
Magnetic flux (Phi, in webers) is the total amount of magnetic field passing through a surface, while magnetic flux density (B, in tesla) is the magnetic field strength per unit area at a specific point. They are related by Phi = B * A * cos(theta), where A is the area and theta is the angle between the field and the surface normal. Think of flux density as the concentration of field lines at a point, and flux as the total count of field lines through an entire surface.
How accurate are the results from Magnetic Flux Converter?
All calculations use established mathematical formulas and are performed with high-precision arithmetic. Results are accurate to the precision shown. For critical decisions in finance, medicine, or engineering, always verify results with a qualified professional.
How do I get the most accurate result?
Enter values as precisely as possible using the correct units for each field. Check that you have selected the right unit (e.g. kilograms vs pounds, meters vs feet) before calculating. Rounding inputs early can reduce output precision.
How do I interpret the result?
Results are displayed with a label and unit to help you understand the output. Many calculators include a short explanation or classification below the result (for example, a BMI category or risk level). Refer to the worked examples section on this page for real-world context.
References
Reviewed by Manoj Kumar, Mathematics Educator · Editorial policy