Difference between revisions of "Forest UCM PnCP"
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Consider a charged particle moving the x-y plane in the presence of a uniform magnetic field with field lines in the z-dierection. | Consider a charged particle moving the x-y plane in the presence of a uniform magnetic field with field lines in the z-dierection. | ||
| − | :\vec{v} = v_x \hat i + v_y \hat j | + | :<math>\vec{v} = v_x \hat i + v_y \hat j</math> |
| − | :\vec{B} = B \hat k | + | :<math>\vec{B} = B \hat k</math> |
| Line 13: | Line 13: | ||
;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. | ||
| − | :W = \Delta K.E. | + | :<math>W = \Delta K.E.</math> |
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) | ||
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.
- Lorentz Force
- \vec{F} = q \vec{E}q\vec{v} \times \vec{B}
- 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)