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19-12] Two large identical parallel square plates with side length of 25 em are

ID: 3308128 • Letter: 1

Question

19-12] Two large identical parallel square plates with side length of 25 em are separated by a distance d-1 em are uniformly charged with surface charge densities of + and -0 where Q=50pC. 9. Find the surface charge density of the plates. a. 0.4 mC/m2 b. 0.8 mCim c. 1.2 mC/m2 d. 1.6 mClm e. 2.0mC/m2 10. Find the magnitude of the electric field between the plates. a. 45 MN/C b. 60 MN/C c. 75 MNIC d. 90 MN/C e. 105 MN/C 11. Find the acceleration of a proton between the plates. a. 3.27 10 ms b. 41 1027ms c. 87 103" mis d. 123 103 ms e. 197 103 mis t0 12. Which direction does the electron move? (refer to the figure for - your answer) d. +x e. It does not move indeed.

Explanation / Answer

9)

surface charge density = charge/area of each plate

surface charge density = 50 *10^-6/(0.25^2)

surface charge density = 8 *10^-4 C/m^2

surface charge density = 0.80 mC/m^2

the correct option is b) 0.80 mC/m^2

10) magnitude of electric field = sigma/epsilon0

magnitude of electric field = 0.80 *10^-3/(8.854 *10^-12)

magnitude of electric field = 9.04 *10^7 N/C

magnitude of electric field = 90 MN/C

11)

for a proton

a = 1.602 *10^-19 *( 90 *10^6)/(1.67 *10^-27)

a = 87 * (10^14) m/s^2

there is some error in the options

12)

for a electron

it will move towards the positive plate

hence , in the - x direction

option c)

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