The figure above shows four very thin parallel planes of charge with equal separ

Question

The figure above shows four very thin parallel planes of charge with equal separation between them. The charge density on plate 1 is 1 nC/m^ The charge density on plate 2 is -5 nC/m^ The charge density on plate 3 is -3 nC/rn^ The charge density on plate 4 is 3 nC/n^- Your answers for the electric field must include the correct sign. We choose positive electric field along the positive x- direction. What is the Electric Field at point E? (in units of N/C) A 4.5 g glass bead is charged by the removal of 3.5 Times 10" 10 electrons. What electric field strength (in units of N/C) will cause the bead to hang suspended in the air?

Explanation / Answer

at the point E

Electric field at E = (sigma1 + sigma2 + sigma3 + sigma4)/(2 * epsilon)

Electric field at E = (1 - 5 - 3 + 3) *10^-9/(2 * 8.854 *10^-12)

Electric field at E = -2.26 *10^11 N/C

the electric field at E is 2.26 *10^11 N/C

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number of electrons , n = 3.5 *10^10

let the electric field needed is E

for suspending the ball in air

m *g = n * e * E

0.0045 * 9.8 = 3.5 *10^10 * 1.602 *10^-19 * E

E = 7.86 *10^6 N/C

the electric field is 7.86 *10^6 N/C

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