In the figure, a particle moves along a circle in a region of uniform magnetic f

Question

In the figure, a particle moves along a circle in a region of uniform magnetic field with magnitude B. The particle is either a proton or an electron (you must decide which based on the figure). It experiences a magnetic force of magnitude F. What are (a) the particle's speed, (b) the radius of the circle, and (c) the period of the motion? The charge of an electron is -e and its mass is me. The charge of a proton is e and its mass is mp. State your answers in terms of the given variables.

Chapter 28, Problem 018 SN In the figure, a particle moves along a circle in a region of uniform magnetic field with magnitude B. The particle is either a proton or an electron (you must decide which based on the figure). It experiences a magnetic force of magnitude F. What are (a) the particle's speed, (b) the radius of the circle, and (c) the period of the motion? The charge of an electron is-e and its mass is me. The charge of a proton is e and its mass is mp. State your answers in terms of the given variables. OB (a)v = Click here to enter or edit your answer 12 Click here to enter or edit your answer 12

Explanation / Answer

this is electron.

(a) Magnetic force = F

F = e v B

v = F / e B

(b) F = m v^2 / r

F = m_e (F / e B)^2 / r

r = Me F / ( e^2 B^2 )

(c) T = 2pi r / v

= 2pi (Me F / e^2 B^2) / (F / e B)

= 2 pi Me / e B

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