Charges moving in Magnetic Fields:

a. A proton with a charge Q= 1.602x 10^-19 C has an initial velocity with a magnitude of v= 2.0 x 10^6 m/s. Take the protons mass to be M= 1.67x10^-27 kg. The proton moves in the presence of a 4 tesla uniform magnetic field going into the page, with a velocity always perpendicular to the magnetic field. Sketch the subsequent (circular) path followed by the proton.

b. Calculate the radius, in meters, of the circular path followed by the proton.

c. Calculate, in hertz, the frequency of orbits for the proton