Difference between revisions of "Forest UCM PnCP"

From New IAC Wiki
Jump to navigation Jump to search
Line 10: Line 10:
 
;Lorentz Force
 
;Lorentz Force
  
:\vec{F} = q \vec{E}q\vec{v} \times \vec{B}
+
:<math>\vec{F} = q \vec{E}q\vec{v} \times \vec{B}</math>
  
 
;Note: the work done by a magnetic field is zero if the particle's kinetic energy (mass and velocity) don't change.
 
;Note: the work done by a magnetic field is zero if the particle's kinetic energy (mass and velocity) don't change.

Revision as of 11:58, 25 August 2014

Charged Particle in uniform B-Field

Consider a charged particle moving the x-y plane in the presence of a uniform magnetic field with field lines in the z-dierection.

v=vxˆi+vyˆj
B=Bˆk


Lorentz Force
F=qEqv×B
Note
the work done by a magnetic field is zero if the particle's kinetic energy (mass and velocity) don't change.
W=ΔK.E.

No work is done on a charged particle force to move in a fixed circular orbit by a magnetic field (cyclotron)


Forest_Ugrad_ClassicalMechanics