Question

You can use either electric or magnetic fields to steer moving charges. Suppose you have a...

You can use either electric or magnetic fields to steer moving charges. Suppose you have a beam of electrons moving in the xdirection with speed 1.0×107 m/s, and you want them to turn 30° to their right in a distance of 1.00 cm.(a) [2 pts.] One way to turn the electrons is to run them between two charged plates that are 1.00 cm wide. There will be a uniform electric field between the plates. What direction does the electric field have to have to get the electrons to turn to their right?(b) [2 pts.] What will be the shape of the path the electrons follow?(c) [10 pts.] What magnitude of electric field is needed to get the electrons to turn by 30°? (d) [1 pts.] What is the difference in potential that you need to put across the plates, and which plate should be at the higher potential?(e) [4 pts.] Another way to turn the electrons is to apply a magnetic field (instead of the electric field!). What direction must the magnetic field have in order for the electrons to turn to their right?(f) [2 pts.] What will be the shape of the path the electrons follow?(g) [10 pts.] What magnitude of magnetic field is needed to get the electrons to turn by 30°? (h) [4 pts.] Which scheme, if either, has the electrons moving faster when they exit the field?

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