A particle is shot horizontally with velocity v = 1000 m/s between two large parallel plates. The distance between the plates is d = 0.1 m, and the potential difference across the plates is ∆?=4000?. Assume that the magnetic field between the plates is uniform. a) Find the magnitude of the magnetic field that will allow a proton to travel through the plates undeflected. (b) How would you answer to (a) change if the particle is an electron? (c) How would your answer to (a) change if the velocity is increased?

A particle is shot horizontally with velocity v = 1000 m/s between two large parallel plates. The distance between the plates is d = 0.1 m, and the potential difference across the plates is ∆?=4000?. Assume that the magnetic field between the plates is uniform. a) Find the magnitude of the magnetic field that will allow a proton to travel through the plates undeflected. (b) How would you answer to (a) change if the particle is an electron? (c) How would your answer to (a) change if the velocity is increased?