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Circular Current Loop

A circular current loop is a current constrained along a circular path by an infinitely thin wire.

The magnetic flux density increases as one gets closer to the loop and as the loop gets small in size. Increasing numbers of loops increase the magnetic flux density similarly, as does increased current.

Formula

QuantityVariable["B", "MagneticFluxDensity"] == (Quantity[1/2, "MagneticConstant"]*QuantityVariable["I", "ElectricCurrent"]*QuantityVariable["N", "Unitless"]*QuantityVariable["R", "Radius"]^2)/(QuantityVariable["d", "Distance"]^2 + QuantityVariable["R", "Radius"]^2)^(3/2)

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Circular Current Loop"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Circular Current Loop"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Circular Current Loop"], {QuantityVariable["R","Radius"] -> Quantity[1, "Meters"], QuantityVariable["N","Unitless"] -> 1}]
Out[3]=

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