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Transformer Universal EMF Using Magnetic Flux

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 magnetic flux, frequency and the number of turns.

Formula

QuantityVariable[Subscript["E", "rms"], "ElectricPotential"] == Sqrt[2]*Pi*QuantityVariable["f", "Frequency"]*QuantityVariable["N", "Unitless"]*QuantityVariable["ϕ", "MagneticFlux"]

symbol description physical quantity
Erms root mean square electromotive force "ElectricPotential"
f frequency "Frequency"
N turns "Unitless"
ϕ magnetic flux "MagneticFlux"

Forms

Examples

Get the resource:

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

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

In[3]:=
FormulaData[ ResourceObject[ "Transformer Universal EMF Using Magnetic Flux"], {QuantityVariable[ "\[Phi]","MagneticFlux"] -> Quantity[0.1`, "Seconds" "Volts"], QuantityVariable[ \!\(\*SubscriptBox[\("E"\), \("rms"\)]\),"ElectricPotential"] -> Quantity[220, "Volts"]}]
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