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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 B-field, 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.