# Draw a labelled diagram of cyclotron. Explain its working principle. Show that cyclotron frequency is independent of the speed and radius of the orbit.

Working principle of cyclotron :

The cyclotron uses crossed electric and magnetic fields which increases the kinetic energy of a charged particle without changing its frequency of revolution.

Such that,

$Fc=F_m$

$\frac{mv^{2}}{r}=qvB$

$\frac{v}{r}=\frac{qB}{m}$

$\omega=\frac{qB}{m}$

$2\pi f=\frac{qB}{m}$

$f=\frac{qB}{2\pi m}$

The frequency is independent of velocity

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