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Problem: Gauss’ Law with Planar Symmetry A very large (infinite) insulating plane is given positive, uniform...

Problem: Gauss’ Law with Planar Symmetry
A very large (infinite) insulating plane is given positive, uniform charge density σ. The
plane is vertical, like a wall. A point particle of charge q and mass m is attached to one end
of a silk thread. The other end is attached to the wall and due to electrostatic repulsion the
particle hangs such that the thread makes an angle θ with respect to the wall.
a)Determine a symbolic expression for the electric field due to the plane.
b)Obtain a symbolic expression for σ in terms of q, m, and θ.
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