2. Three parallel infinite thin plates, plate 1 , plate 2, and plate 3, carry re

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2. Three parallel infinite thin plates, plate 1 , plate 2, and plate 3, carry respective Constant charge densities sigma 1 = 1.5 muC/m^2, sigma 2 = -2.3 muC/m^2, and sigma 3 = 3.8 muC/m^2. The sheets are 10.0 cm from the nearest sheet, and Points A and B are each 5.0 cm from the nearest sheets. Remember that 1 muC = 10^-6 C and 1 cm = 10^-2 m. a. Use Gauss's law to show that the electric field due to an infinite sheet of uniform surface charge density sigma is E = sigma/2eo b. Calculate the electric field at point A. c. Calculate the electric field at point B. d. Calculate the electric potential difference from plate 1 to plate 2. e. If an electron (q = 1.60 x 10^-19 C, m = 9.11 x 10^-31 kg) is released from rest at point B, will it travel to sheet 2 or sheet 3? f. What will the speed of the electron of part e be when it reaches the sheet?

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