An electron of mass and charge enters a uniform magnetic field of induction with a…
PHYSICS · Multi-part · A Level · Physics · Fields and their consequences · Fields and their consequences
Problem
An electron of mass 9.1×10−31kg and charge −1.6×10−19C enters a uniform magnetic field of induction 0.020T with a speed of 3.0×107m s−1 at an angle of 45∘ with the field direction.
(i) Calculate the magnitudes of the velocity components perpendicular and parallel to the magnetic field.
(ii) Determine the radius of the circular component of the motion.
(iii) Find the time period of revolution of the electron about the field axis.
(iv) Obtain the pitch of the helical path.
(v) How long is the path traced by the electron along the field direction after it completes 15 full revolutions around the axis? (Neglect any electric forces.)