Difference between revisions of "Forest UCM PnCP"
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| Line 10: | Line 10: | ||
;Lorentz Force | ;Lorentz Force | ||
| − | :<math>\vec{F} = q \vec{E}q\vec{v} \times \vec{B}</math> | + | :<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. | ||
| Line 17: | Line 17: | ||
No work is done on a charged particle force to move in a fixed circular orbit by a magnetic field (cyclotron) | No work is done on a charged particle force to move in a fixed circular orbit by a magnetic field (cyclotron) | ||
| + | |||
| + | :\vec{F} = m \vec{a} = q \vec{v} \times \vec{B} = | ||
[[Forest_Ugrad_ClassicalMechanics]] | [[Forest_Ugrad_ClassicalMechanics]] | ||
Revision as of 11:59, 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.
- Lorentz Force
- Note
- the work done by a magnetic field is zero if the particle's kinetic energy (mass and velocity) don't change.
No work is done on a charged particle force to move in a fixed circular orbit by a magnetic field (cyclotron)
- \vec{F} = m \vec{a} = q \vec{v} \times \vec{B} =