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Kinetic Energy's Effect on Electron's Radius in Magnetic Field

by mirandab17
Tags: electromagnetism, electron, magnetism, radius
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mirandab17
#1
Apr16-12, 11:54 PM
P: 40
An electron moves in a circular orbit of radius r in a magnetic field. The electron moves in a path perpendicular to the magnetic field. If the kinetic energy of the electron is doubled, what is the new radius of its path?

What formula would I use to go about this? Is this about mass spectrum? So I would go about using Fnet=ma, and then Fb (of a single charge) = mv^2/r.
So Bvq = mv^2/r... then where?

Please help! Test tomorrow! :(
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Steely Dan
#2
Apr17-12, 12:48 AM
P: 317
Quote Quote by mirandab17 View Post
An electron moves in a circular orbit of radius r in a magnetic field. The electron moves in a path perpendicular to the magnetic field. If the kinetic energy of the electron is doubled, what is the new radius of its path?

What formula would I use to go about this? Is this about mass spectrum? So I would go about using Fnet=ma, and then Fb (of a single charge) = mv^2/r.
So Bvq = mv^2/r... then where?

Please help! Test tomorrow! :(
Sure, you're on the right track. Use that to solve for [itex]r[/itex] first. Then think about which quantity in the equation for the radius will change if the kinetic energy is doubled, and figure out how much it will be changed by.


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