Consider three very large, parallel planes of charge that are equally spaced as

Question

Consider three very large, parallel planes of charge that are equally spaced as shown in the figure below. These planes are insulators, and each is charged uniformly with +54C on every square centimeter of area on the top surface of each plane. Use Gauss's law to determine the field at points A, B, C, and D. (Assume up is the positive direction. Indicate the direction with the sign of your answer.)

Consider three very large, parallel planes of charge that are equally spaced as shown in the figure below. These planes are insulators, and each is charged uniformly with +54 UC on every square centimeter of area on the top surface of each plane. Use Gauss's law to determine the field at points A, B, C, and D. (Assume up is the positive direction. Indicate the direction with the sign of your answer.) Ea= X N/C N/C N/C N/C Ec=

Explanation / Answer

Given,

Q = 54 uC ; A = 10^-4 m^2

The field due to each plate will be:

E = sigma/2 epsilon0

sigma = Q/A = 54 x 10^-6/10^-4 = 54 x 10^-2 C/m^2

E = 54 x 10^-2/2 x 8.85 x 10^-12 = 3.05 x 10^-10 N/C

a)Field at A will be:

Ea = 3E = 3 x 3.05 x 10^-10 = 9.15 x 10-10 N/C

Ea = 9.15 x 10^-10 N/C

b)Eb = E = 3.05 x 10^-10 N/C

c)Ec = -E = -3.05 x 10^-10 N/C

d)E = -3E = -9.15 x 10^-10 N/C

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