Its frequency of uniform circular motion is called
the cyclotron frequency and is given by:
2
c
q B
m
ν =
π
This frequency is independent of the particle’s speed and radius This
fact is exploited in a machine, the cyclotron, which is used to
accelerate charged particles 4 The Biot-Savart law asserts that the magnetic field dB due to an
element dl carrying a steady current I at a point P at a distance r from
the current element is:
0
d3
d
4
I
r
µ
×
=
π
l
r
B
To obtain the total field at P, we must integrate this vector expression
over the entire length of the conductor