Lorentz Force

\mathbf{F} = q (\mathbf{E} + \mathbf{v} 	imes \mathbf{B}),

where
:F is the Force (in Newtons )
:E is the Electric Field (in Volts per Meter )
:B is the Magnetic Field (in Webers per square meter, or equivalently, Teslas )

q

:v is the instantaneous Velocity of the particle (in meters per Second )
:and × is the Cross Product .

Thus a positively charged particle will be accelerated in the ''same'' linear orientation as the E field, but will curve perpendicularly to the '''B''' field according to the Right-hand Rule .

ALTERNATIVE FORM

Equivalently, we can express the Lorentz force law in terms of the electric Charge Density ρ and Current Density J as

:

\mathbf{F} =  \int_V ( 
ho \mathbf{E}  +  \mathbf{J} 	imes \mathbf{B}) \cdot dV

APPLICATIONS

The Lorentz force is a principle exploited in many devices including:

Cyclotron s and other circular path Particle Accelerator s

Homopolar Generator s

Magnetron s

Magnetoplasmadynamic Thruster s

Mass Spectrometer s

Railgun s

Generators

Motors

Information About

Lorentz Force