The magnitude of the magnetic moment due to the electron’s motion.

Question

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

Answer 1

Question

Chapter 29, Problem 29.57AP

(a)

To determine

The magnitude of the magnetic moment due to the electron’s motion.

(b)

To determine

The direction of the magnetic moment vector.

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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 givenby B = (–0.500 T) z exists. The velocity vector of the proton is at an angle θ = 60.0° with respect tothe positive z-axis. a) Analyze the motion of the proton and describe its trajectory (in qualitativeterms only). b) Calculate the radius, r, of the trajectory projected onto a plane perpendicular to themagnetic fi eld (in the xy-plane). c) Calculate the period, T, and frequency, f, of the motion in thatplane. d) Calculate the pitch of the motion (the distance traveled by the proton in the direction ofthe magnetic fi eld in 1 period).

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