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nissanztt90
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Homework Statement
An electron of mass Me, with charge -e, is in a circular orbit in the xy-plane. There is a uniform magnetic field B in the positive z direction. It is moving at constant velocity V.
Working in CGS units...
Find R in terms of Me, -e, v, and B
Find the angular frequency [tex]\omega[/tex].
Find the current I with the given parameters.
Homework Equations
F= (2IqV)/(rc2)
B= (2I)/(rc)
And i believe F = mv2/r = mr[tex]\omega[/tex] ?
The Attempt at a Solution
My thought was to solve B= (2I)/(rc) for I, and substitute that quantity for the I in F= (2IqV)/(rc2) to get F = (B(-e)v)/c, and set that equal to the centripetal force mv2/r.
Through that subsitution i found r = Mevc / B(-e)
For the angular frequency i solved mv2/r = mr[tex]\omega[/tex] for r=v[tex]\omega[/tex], substituded that into the equation for radius, and solved for [tex]\omega[/tex] = B(-e) / Mec
For the current, i used I = Brc/2, and substituted the value i found for r into this equation, for I = Mevc2 / -e
I am somewhat confused, because i thought both the force on the moving electron and the centripetal force pointed in. Any guidance and/or clarification would be greatly appreciated.