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An infinite, uniformly charged plane is placed in the yz plane, at x = 0. a....

An infinite, uniformly charged plane is placed in the yz plane, at x = 0.

a. What are the symmetries of this plane?

b. Use one of these symmetries to determine the direction of the electric field along the x -axis, for x > 0.

c. How is the electric field for x < 0 related to the electric field for x > 0 along the x -axis?

d. Use some other symmetries to explain why the electric field cannot depend on the y or z coordinates.
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