100,000,000
1
Wb
100,000,000
100,000,000
1
Wb
100,000,000
The Magnetic Flux Converter converts between units of magnetic flux, including webers, maxwells, and volt-seconds. Magnetic flux, measured in webers (Wb), quantifies the total magnetic field passing through a surface and is central to electromagnetic induction, transformer design, and electric motor theory.
The weber is defined as the magnetic flux that, when linking a circuit of one turn, produces an EMF of one volt when reduced uniformly to zero in one second. This is equivalent to one volt-second (V·s), making the weber fundamental to Faraday's law of electromagnetic induction: EMF = -dΦ/dt.
In the older CGS system, magnetic flux is measured in maxwells (Mx), where 1 Wb = 10⁸ Mx. The maxwell represents one line of magnetic flux (one line of force). The kiloline (1000 maxwells) is sometimes used as an intermediate unit in older engineering references.
Magnetic flux is a key parameter in transformer and motor design. The flux in a transformer core determines the operating voltage per turn (V/N = 4.44 x f x Φ_max for sinusoidal AC). Exceeding the design flux leads to core saturation, increased losses, and potential failure.
Typical magnetic flux values: Earth's magnetic flux through a 1 m² horizontal surface is about 50 µWb, a small DC motor may have flux of 0.1–1 mWb per pole, and large power transformers may have peak flux of 1–10 Wb in their cores.
All values are normalized to webers (Wb). Key conversions: 1 Wb = 1 V·s (exact by definition), 1 Wb = 10⁸ Mx (maxwells), 1 kiloline = 10⁵ Wb = 1000 Mx. SI prefix conversions: milli = 10⁻³, micro = 10⁻⁶, nano = 10⁻⁹.
Faraday's law: EMF = -N x dΦ/dt, where N is turns and Φ is flux in webers. For a transformer: V = 4.44 x f x N x Φ_max. Understanding flux helps in sizing transformer cores and predicting saturation.
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Results
1 Wb = 10⁸ Mx
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Results
0.5 mWb = 500 µWb
The weber (Wb) is the SI unit of magnetic flux. It equals one volt-second: 1 Wb = 1 V·s. It is the flux that induces 1 V EMF in a single-turn coil when reduced to zero in 1 second.
Multiply webers by 10^8 (100 million). 1 Wb = 10^8 Mx. This is because 1 Mx = 1 line of flux = 10^-8 Wb.
The maxwell (Mx) is the CGS unit of magnetic flux. It represents one line of magnetic flux. 1 Mx = 10^-8 Wb. Named after James Clerk Maxwell.
Flux (Φ) = Magnetic field (B) x Area (A) x cos(θ), where θ is the angle between B and the surface normal. Unit: Wb = T x m².
Faraday's law states that the EMF induced in a coil equals the negative rate of change of magnetic flux: EMF = -N x dΦ/dt, where N is the number of turns.
Small transformers: 0.01-0.1 mWb. Medium power transformers: 0.1-10 mWb. Large power transformers: up to several Wb. Core saturation limits the maximum flux.
A volt-second (V·s) is identical to a weber. It represents the time integral of voltage, which equals the change in magnetic flux linkage.
Every magnetic core material has a saturation flux density (Bsat). When B x A exceeds the design flux, the core saturates, permeability drops, and current increases dramatically.
Flux linkage (λ) = N x Φ, where N is the number of turns. It is measured in weber-turns or volt-seconds. It is the key parameter in inductor and transformer analysis.
A kiloline equals 1000 maxwells or 10^-5 webers. It is an older unit sometimes found in vintage electrical engineering references.
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