One infinite plane of charge lies above another. The top plane has charge densit

Question

One infinite plane of charge lies above another. The top plane has charge density –770 nC/m2 and the bottom plane has charge density +770 nC/m2. (a) What is the magnitude and direction of the electric field above the top charge plane? (b)What is the magnitude and direction of the electric field between the charge planes? (c)What is the magnitude and direction of the electric field below the bottom charge plane? (d)If a positive point charge is placed at rest in the gap between the charge planes, in what direction will it begin moving? Explain how you can tell.

Explanation / Answer

a) Magnitude at top = 0 due to symmetry ( electric field die to negative plate will point towards downward direction, while due to positive plate will point towards uoward, cancelling the net effect)

b) E = 770 x 10^-9 / 2 ( 8.854 x 10^-12) = 43,483 x 10^3 N/ C , direction towards top plate

c) magnitude below the bottom plate = 0 ( same reason as explained in part a)

due to symmetry

d) towards top owing to force of attraction

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