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A particle moves along a circle in a region of uniform magnetic field with a mag

ID: 1905330 • Letter: A

Question

A particle moves along a circle in a region of uniform magnetic field with a 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. (Use any variable or symbol stated above along with the following as necessary: e for the charge of an electron and the charge of a proton, me for the mass of an electron, and mp for the mass of a proton.) (a) What is the particle's speed? v = (b) What is the radius of the circle? r = (c) What is the period of the motion? T =

Explanation / Answer

particle is electron

F=evB
V=F/eB

F=me*(F/eB)^2/r
r=me*(F/eB)^2/F

T=2**R/V=2**me*(F/eB)^2/F/F/eB

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