Answer to Question #282919 in Electricity and Magnetism for BIGIRMANA Elie

Question

A proton travels in a circular path with a radius of 4.10 mm in a magnetic field of strength 1.90 T. a) Calculate the speed of the proton. b) Determine the time required for it to make one–half of a revolution. 

Answer 1

a) From the equilibrium of forces:

$$\dfrac {mv^2}{R}=qvB→v=\dfrac{qBR}{m}=746.191\text{ km/s}.$$

b) The time is

$$T_{1/2}=\dfrac{\pi R}{v}=17.3\text{ ns}.$$