- #1
jegues
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Homework Statement
What electric potential difference is required to accelerate and electron, initially at rest, to the speed at which it will move in a circular path with radius 1cm when the electron enters a region of uniform magnetic field of 1.0T, if the field is perpendicular to the electron's velocity? (Ignore gravity)
Homework Equations
The Attempt at a Solution
We know that,
[tex]F_{B} = qvB = \frac{mv^{2}}{r}[/tex]
So,
[tex]v = \frac{qBr}{m}[/tex]
The part I'm confused about is how to relate this knowledge the the potential difference?
Any suggestions?
EDIT: I figured it out.
[tex]\Delta V = \frac{qB^{2}r^{2}}{2m}[/tex]