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Transformer Universal EMF Using Flux Density

A transformer is an electrical device that transfers electrical energy between two or more circuits through electromagnetic induction. Electromotive force, also called EMF, is the voltage developed by any source of electrical energy.

The root mean square electromotive force is proportional to the product of the core cross-section, peak magnetic flux density, frequency and the number of turns.

Formula

QuantityVariable[Subscript["E", "rms"], "ElectricPotential"] == Sqrt[2]*Pi*QuantityVariable["a", "Area"]*QuantityVariable["B", "MagneticFluxDensity"]*QuantityVariable["f", "Frequency"]*QuantityVariable["N", "Unitless"]

symbol description physical quantity
Erms root mean square electromotive force "ElectricPotential"
a core cross-section "Area"
B peak magnetic flux density "MagneticFluxDensity"
f frequency "Frequency"
N turns "Unitless"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Transformer Universal EMF Using Flux Density"]
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Get the formula:

In[2]:=
FormulaData[ ResourceObject["Transformer Universal EMF Using Flux Density"]]
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Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Transformer Universal EMF Using Flux Density"], {QuantityVariable[ "N","Unitless"] -> 200, QuantityVariable["a","Area"] -> Quantity[0.1`, ("Meters")^2]}]
Out[3]=

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