7.4 Equations for radius of circular motion of charged particles in magnetic field Flashcards
1
Q
Equation for force acting on a charged particle in a magnetic field.
A
F = BQV force = magnetic flux density x charge x velocity
2
Q
Equation for centripetal force?
A
F = mv^2 / r
3
Q
How to workout the equation of the radius of circular motion of charged particle.
A
Put above equations equal to each other.
4
Q
prove
A
mv^2 / r = BQV
r = mv^2/bqv
r = mv/bq
r = p/bq
5
Q
Why can mv be represented as p?
A
As mv is momentum, which is represented by p.
6
Q
What does this equation tells us?
A
The radius of the circle in which charged particle moves when in a magnetic field.
7
Q
How do we work out the equation for frequency of circular turns?
A
mv = BQr v/r = Bq/m as v/r is equal to omega and therefore equal to 2(pi)f hence 2(pi)f = BQ/m
8
Q
What determines frequency of turns? What must be constant?
A
the Ek as long as mass is constant
