Three very large charged metal plates are arranged as shown. The radius of each

Question

Three very large charged metal plates are arranged as shown. The radius of each plate is 4 meters, and each plate is w = 0.05 mm thick. The separation d_1 is 7 mm, and the separation d_2 is 4 mm. Each plate has a tiny hole in it, so it is possible for a small charged particle to pass through all the plates. You are able to adjust the apparatus by varying the electric field in the region between location D and location F. You need to adjust this setting so that a fast moving electron moving to the right, entering at location A, will have lost exactly 5.6e-18 joules of kinetic energy by the time it reaches location G. Using a voltmeter, you find that the potential difference V_C - V_B = -15 volts. Consider the system of (electron + plates). Neglecting the small amount of work done by the gravitational force on the electron, during this process (electron going from A to G): delta K + delta U = joules What is the change in potential energy for the system during this process? delta U = joules V_G - V_A = volts V_F - V_D = volts What is the magnitude of the electric field in the region between location D and location F? |vector E| = V/m What is the direction of the electric field in this region?

Explanation / Answer

a) K + U = Zero

b) U = 5.6*10^-18 J

c) VG - VA = -35 V

d) VF - VD = -35 + 15 = -20 V

e) Electric field = E = 20/0.004 = 5000 V/m (Right)

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