Three very large square planes of charge are arranged as shown (on edge) in Fig.

Question

Three very large square planes of charge are arranged as shown (on edge) in Fig. 21-70. From left to right, the planes have charge densities per unit area of -0.50 µC/m2, +0.15 µC/m2, and -0.20 µC/m2. Find the total electric field (direction and magnitude) at the points A, B, C, and D. Assume the plates are much larger than the distance AD. point D & direction Please explain !
Three very large square planes of charge are arranged as shown (on edge) in Fig. 21-70. From left to right, the planes have charge densities per unit area of -0.50 MuC/m^2, +0.15 MuC/m2, and -0.20 MuC/m^2. Find the total electric field (direction and magnitude) at the points A, B, C, and D. Assume the plates are much larger than the distance AD. point A & direction point B & direction point C & direction point D & direction Please explain !

Explanation / Answer

The question specifies as left to right but i think it should be from top to bottom. The magnitude of the electric field is       E1 = s1 / 2 eo            = (0.5x10^-6) / 2 (8.85x10^-12)            = 2.82x10^4 N/C      E2 = s2 / 2 eo            = (0.15x10^-6) / 2 (8.85x10^-12)            = 8.47x10^3 N/C     E3 = s3 / 2 eo            = (0.2x10^-6) / 2 (8.85x10^-12)            = 1.1299x10^4 N/C Net field and direction at point A is      E = E1 -E2 +E3 = 2.82x10^4 N/C - 8.47x10^3 N/C +1.1299x10^4 N/C                             = 3.1029x10^4 N/C    to the right Net field and direction at point B is      E = -E1 -E2 +E3 = -2.82x10^4 N/C - 8.47x10^3 N/C +1.1299x10^4 N/C                             = - 2.533 x10^4 N/C    to the left Net field and direction at point C is      E = -E1 +E2 +E3 = - 2.82x10^4 N/C + 8.47x10^3 N/C +1.1299x10^4 N/C                             = -8.43x10^3 N/C    to the left Net field and direction at point D is      E = - E1 +E2 -E3 =- 2.82x10^4 N/C + 8.47x10^3 N/C -1.1299x10^4 N/C                             = - 3.1029x10^4 N/C    to the left            = (0.5x10^-6) / 2 (8.85x10^-12)            = 2.82x10^4 N/C      E2 = s2 / 2 eo            = (0.15x10^-6) / 2 (8.85x10^-12)            = 8.47x10^3 N/C     E3 = s3 / 2 eo            = (0.2x10^-6) / 2 (8.85x10^-12)            = 1.1299x10^4 N/C Net field and direction at point A is      E = E1 -E2 +E3 = 2.82x10^4 N/C - 8.47x10^3 N/C +1.1299x10^4 N/C                             = 3.1029x10^4 N/C    to the right Net field and direction at point B is      E = -E1 -E2 +E3 = -2.82x10^4 N/C - 8.47x10^3 N/C +1.1299x10^4 N/C                             = - 2.533 x10^4 N/C    to the left Net field and direction at point C is      E = -E1 +E2 +E3 = - 2.82x10^4 N/C + 8.47x10^3 N/C +1.1299x10^4 N/C                             = -8.43x10^3 N/C    to the left Net field and direction at point D is      E = - E1 +E2 -E3 =- 2.82x10^4 N/C + 8.47x10^3 N/C -1.1299x10^4 N/C                             = - 3.1029x10^4 N/C    to the left            = (0.15x10^-6) / 2 (8.85x10^-12)            = 8.47x10^3 N/C     E3 = s3 / 2 eo            = (0.2x10^-6) / 2 (8.85x10^-12)            = 1.1299x10^4 N/C Net field and direction at point A is      E = E1 -E2 +E3 = 2.82x10^4 N/C - 8.47x10^3 N/C +1.1299x10^4 N/C                             = 3.1029x10^4 N/C    to the right Net field and direction at point B is      E = -E1 -E2 +E3 = -2.82x10^4 N/C - 8.47x10^3 N/C +1.1299x10^4 N/C                             = - 2.533 x10^4 N/C    to the left Net field and direction at point C is      E = -E1 +E2 +E3 = - 2.82x10^4 N/C + 8.47x10^3 N/C +1.1299x10^4 N/C                             = -8.43x10^3 N/C    to the left Net field and direction at point D is      E = - E1 +E2 -E3 =- 2.82x10^4 N/C + 8.47x10^3 N/C -1.1299x10^4 N/C                             = - 3.1029x10^4 N/C    to the left            = (0.2x10^-6) / 2 (8.85x10^-12)            = 1.1299x10^4 N/C Net field and direction at point A is      E = E1 -E2 +E3 = 2.82x10^4 N/C - 8.47x10^3 N/C +1.1299x10^4 N/C                             = 3.1029x10^4 N/C    to the right Net field and direction at point B is      E = -E1 -E2 +E3 = -2.82x10^4 N/C - 8.47x10^3 N/C +1.1299x10^4 N/C                             = - 2.533 x10^4 N/C    to the left Net field and direction at point C is      E = -E1 +E2 +E3 = - 2.82x10^4 N/C + 8.47x10^3 N/C +1.1299x10^4 N/C                             = -8.43x10^3 N/C    to the left Net field and direction at point D is      E = - E1 +E2 -E3 =- 2.82x10^4 N/C + 8.47x10^3 N/C -1.1299x10^4 N/C                             = - 3.1029x10^4 N/C    to the left      E = -E1 -E2 +E3 = -2.82x10^4 N/C - 8.47x10^3 N/C +1.1299x10^4 N/C                             = - 2.533 x10^4 N/C    to the left Net field and direction at point C is      E = -E1 +E2 +E3 = - 2.82x10^4 N/C + 8.47x10^3 N/C +1.1299x10^4 N/C                             = -8.43x10^3 N/C    to the left Net field and direction at point D is      E = - E1 +E2 -E3 =- 2.82x10^4 N/C + 8.47x10^3 N/C -1.1299x10^4 N/C                             = - 3.1029x10^4 N/C    to the left      E = -E1 +E2 +E3 = - 2.82x10^4 N/C + 8.47x10^3 N/C +1.1299x10^4 N/C                             = -8.43x10^3 N/C    to the left Net field and direction at point D is      E = - E1 +E2 -E3 =- 2.82x10^4 N/C + 8.47x10^3 N/C -1.1299x10^4 N/C                             = - 3.1029x10^4 N/C    to the left      E = - E1 +E2 -E3 =- 2.82x10^4 N/C + 8.47x10^3 N/C -1.1299x10^4 N/C                             = - 3.1029x10^4 N/C    to the left

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