A proton moving at speed v = 1.00 x 106 m/s enters a region in space where a magnetic fi eld given by B = (–0.500 T) z exists. The velocity vector of the proton is at an angle θ = 60.0° with respect to the positive z-axis. a) Analyze the motion of the proton and describe its trajectory (in qualitative terms only). b) Calculate the radius, r, of the trajectory projected onto a plane perpendicular to the magnetic fi eld (in the xy-plane). c) Calculate the period, T, and frequency, f, of the motion in that plane.
A proton moving at speed v = 1.00 x 106 m/s enters a region in space where a magnetic fi eld given by B = (–0.500 T) z exists. The velocity vector of the proton is at an angle θ = 60.0° with respect to the positive z-axis. a) Analyze the motion of the proton and describe its trajectory (in qualitative terms only). b) Calculate the radius, r, of the trajectory projected onto a plane perpendicular to the magnetic fi eld (in the xy-plane). c) Calculate the period, T, and frequency, f, of the motion in that plane.
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A proton moving at speed v = 1.00 x 106 m/s enters a region in space where a magnetic fi eld given
by B = (–0.500 T) z exists. The velocity vector of the proton is at an angle θ = 60.0° with respect to
the positive z-axis. a) Analyze the motion of the proton and describe its trajectory (in qualitative
terms only). b) Calculate the radius, r, of the trajectory projected onto a plane perpendicular to the
magnetic fi eld (in the xy-plane). c) Calculate the period, T, and frequency, f, of the motion in that
plane. d) Calculate the pitch of the motion (the distance traveled by the proton in the direction of
the magnetic fi eld in 1 period).
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