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Homework Statement
An electron moves in a circular path in a vacuum under the influence of a magnetic field perpendicular to and into the paper.If there is another electron which moves with a higher speed in a circular path in the same Bfield, state and explain how each of the following will be affected as compared to the first electron?
(c) The radius of the circular path
Homework Equations
F = Bqv
B = flux density
q = charge
v = velocity of the charge
The Attempt at a Solution
F(m) = Bqv
Since F(m) causes the centripetal acceleration of electron
F(m) = Bqv = mv^2/r
r = mv/Bq
Therefore it can be concluded that r increases as v increases?
But how can this be case as,
F(m) = Bqv, and F(m) increases as velocity of the charge increases
If F(m) increases, r would decrease as it is inversely proportional to F
in the equation F(m) = mv^2/r.
So would r increase or decrease if a faster electron moves in a circular path in a vacum under the influence of a magnetic field perpendicular to and into the paper.
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