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*******PLEASE EXPLAIN ANWSER*** 3.) Suppose you have a uniform surface charge de

ID: 1877116 • Letter: #

Question

*******PLEASE EXPLAIN ANWSER***

3.) Suppose you have a uniform surface charge density confined to the x-y plane (think of an infinitely ultra-thin flat sheet of charge at z 0). Consider the electric field at point (x, y, z). By symmetry arguments ONLY (no Gauss' law calculation here!) what direction could it point? Please choose ALL that apply: a) +x-hat b) y-hat c) +z-hat d) -x-hat e) -y-hat f) -z-hat g) None of the above By symmetry arguments ONLY, what variable(s) (x, y, and/or z) could the E field depend on? Please choose ALL that apply: a) x b) y d) None of the above

Explanation / Answer

3. Even though we considered the electric field at (x,y,z), the point charge is present at z=0,

that is in the z-plane irrespective of surface charge density.By using Symmetry arguments the plane which is perpendicular to the surface charge density is the direction.

In the question it is given that the surface charge density is present in x-y plane. So, the direction pointed by electric field is +z-hat.

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By symmetry arguments, E field depend on z variable.