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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