physics 122 Lecture 02 October 1st 2013_final

1 2 qb qb v vy vx y m m 22 this describes

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Unformatted text preview: s also generate currents and hence magne;c fields. These fields affect the mo;on of charged par;cles. In this chapter, we shall ignore the E and B fields formed by these par;cles. Instead, we will assume we are dealing with prescribed E and B fields [they do not change due to the mo;on of the charges]. Orbits Start with const E and B (spatially and temporally uniform) Take E=0, B along z. Intuitively, we know dv m = qv × B dt mvx = qBvy mvy = −qBvx mvz = 0 This gives a helical orbit → no forces in parallel direction Take B into page: ⊗ B ↑ qv Force is to the left for q>0 (proton), Force is to the right for q<0 (electron), (–) particles orbit in the RH sense. (+) particles orbit in the LH sense. Guiding Center Uniform E and B fields, E = 0 In this case, a charged particle has a simple cyclotron gyration. The equation of motion dv m = qv × B dt Taking z to be the direction of B = Bz mvx = qBv y mv y = − qBvx mvz = 0 2 qB ⎛ྎ...
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