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Lorentz Force Using Particle Speed

The Lorentz force is the combination of electric and magnetic force on a point charge due to electromagnetic fields.

The Lorentz force equals the product of the magnetic flux density, electric charge, particle speed and the sine of the angle the particle's path makes with the magnetic field.

Formula

QuantityVariable[Subscript["F", "L"], "Force"] == QuantityVariable["B", "MagneticFluxDensity"]*QuantityVariable["Q", "ElectricCharge"]*QuantityVariable["v", "Speed"]*Sin[QuantityVariable["θ", "Angle"]]

symbol description physical quantity
FL Lorentz force "Force"
B magnetic flux density "MagneticFluxDensity"
Q electric charge "ElectricCharge"
v speed "Speed"
θ angle "Angle"

Forms

Examples

Get the resource:

In[1]:=
ResourceObject["Lorentz Force Using Particle Speed"]
Out[1]=

Get the formula:

In[2]:=
FormulaData[ResourceObject["Lorentz Force Using Particle Speed"]]
Out[2]=

Use some values:

In[3]:=
FormulaData[ ResourceObject[ "Lorentz Force Using Particle Speed"], {QuantityVariable[ \!\(\*SubscriptBox[\("F"\), \("L"\)]\),"Force"] -> Quantity[1, "Newtons"], QuantityVariable["v","Speed"] -> Quantity[1, ("Meters")/("Seconds")], QuantityVariable["B","MagneticFluxDensity"] -> Quantity[1, "Teslas"], QuantityVariable["Q","ElectricCharge"] -> Quantity[1, "Coulombs"]}]
Out[3]=

Source Metadata

  • Creator:
  • Date: 1889

Publisher Information