Question

A hydrogen ion of mass m and charge q travels with a speed v along a circle of radius r in a uniform magnetic field of flux density B. Obtain the expression for the magnetic force on the ion and determine its time period.

Answer 1

Answer:

minimol1998 dear, the centripetal = centrifugal = m v^2 / r

This is provided by the magnetic Lorentz force = B q v

Hence B q v = m v^2 / r

Or v/r = B q / m

But you know v/r = ω (angular frequency or angular velocity)

But ω = 2 π / T

So T = time period = 2 π / ω = 2 π / (B q / m) = 2 π m / B q