6. (35 points) An electron is accelerated from rest through a square parallel plate capacitor 01 with a charge magnitude Q1 on its plates, plate length L, and plate separation distance all. The electron travels through a very small hole in the capacitor and is then subject to a uniform magnetic eld B. You wish to shoot this electron into capacitor 02, through a very small hole a distance L/ 2 below and a distance L/ 2 across from the hole in capacitor 1. Capacitor 02 has square plates with side length L, plate separation distance (2 and magnitude of charge Q2 on its plates. See the diagram below. d 1 L/2 l __ l" a U2 d Cz Figure 4: diagram of the problem a. (5 points) In the diagram above draw the direction of the magnetic eld that corresponds to redirecting the electron towards the hole in capacitor 2. b. (15 points) In terms of the variables given find the magnetic field magnitude required such that the electron goes through the hole in capacitor 2. c. (15 points) What must Q2 be such that the electron comes to rest at the bottom plate of capacitor 2