Diferenças entre edições de "Particle orbit"

Edição atual desde as 21h06min de 2 de março de 2017

(D. R. Nicholson ~2.1) Consider a particle of charge $q>0$ and mass $m$ , initially at rest at $(x,y,z)=(0,0,0)$ , in the presence of a static magnetic field $\vec{B}=B_0\vec{u}_z$ and $\vec{E}=E_0\vec{u}_y$ , with $E_0,B_0>0$ .

(a) Sketch the orbit of the particle.

(b) Derive an exact expression for the orbit of the particle.

(c) Show that the orbit can be separated into an oscillatory term and a constant drift term. After averaging in time over the oscillatory motion, is there any net acceleration? If not, how are the forces balanced?

(d) In a neutral plasma, with positive and negative particles and ions of different masses, would there be any net current?

(e) Suppose the electric field were replaced by a gravitational force in the $yy$ direction, would there be a net current?

Diferenças entre edições de "Particle orbit"

Edição atual desde as 21h06min de 2 de março de 2017

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@@ Linha 2: / Linha 2: @@
 Consider a particle of charge  $q>0$  and mass  $m$ , initially at rest at  $(x,y,z)=(0,0,0)$ ,
 in the presence of a static magnetic field  $\vec{B}=B_0\vec{u}_z$  and  $\vec{E}=E_0\vec{u}_y$ , with  $E_0,B_0>0$ .
+(a) Sketch the orbit of the particle.
+(b) Derive an exact expression for the orbit of the particle.
+(c) Show that the orbit can be separated into an oscillatory term and a constant drift term.
+After averaging in time over the oscillatory motion, is there any net acceleration?
+If not, how are the forces balanced?
+(d) In a neutral plasma, with positive and negative particles and ions of different masses, would there be any net current?
+(e) Suppose the electric field were replaced by a gravitational force in the  $yy$  direction, would there be a net current?