A charged particle of mass m and positive charge q moves in uniform electric and magnetic...
A charged particle of mass m and positive charge q moves in uniform electric and magnetic fields, E pointing in the y direction and B in the z direction. suppose the particle is initially at the origin and is given a kick at time t=0 along the x axis with vx = vxo (positive or negative).
a) Write down the equation of motion for the particle and resolve it into its three components. show that the motion remains in the plane z=0.
b) prove that there is a unique value of vx = vxo called the drift speed vdr, for which the particle moves undeflected through the fields.
c) Solve the equations of motion to give the particle's velocity as a function of t, for arbitrary values of vxo. [Hint: Make a change of variables of the form ux=vx-vdr, and uy=vy.]
d) Integrate the velocity to find the position as a function of t and sketch the trajectory for various values of vxo.
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A charged particle of mass m and positive charge q moves in
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2.53A charged particle of mass m and positive charge q moves in uniform electric and magnetic...
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