Q.1 Find the dispersion relation for electrostatic electron waves propagating at an arbitrary angle 6 relative to Bo. Hint: Choose the x axis so that k and E lie in the x - z plane. Then E, = E, sine, E, = E,cos0,E, = 0 and similarly, for k. Solve the equations of motion and continuity and Poisson's equation in the usual way with no uniform and v, = Eo = 0.

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Q.1 Find the dispersion relation for electrostatic electron waves propagating at
an arbitrary angle 0 relative to B,. Hint: Choose the x axis so that k and E lie
in the x - z plane. Then
Ex = E,sin0, E, = E,cos0,Ey = 0
and similarly, for k. Solve the equations of motion and continuity and Poisson's
equation in the usual way with no uniform and v, = Eo = 0.
Transcribed Image Text:Q.1 Find the dispersion relation for electrostatic electron waves propagating at an arbitrary angle 0 relative to B,. Hint: Choose the x axis so that k and E lie in the x - z plane. Then Ex = E,sin0, E, = E,cos0,Ey = 0 and similarly, for k. Solve the equations of motion and continuity and Poisson's equation in the usual way with no uniform and v, = Eo = 0.
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