Two insulating rods, each of length a, are bent to form quarter-circles. Both rods have the same amount of linear charge density, 2, but of opposite polarity. The two quarter-circles are joined to make a semicircle. Find the magnitude of the electric field at the center of the semicircle. Your final answer should be in terms of 2, a, and any necessary constants. Show full derivation. Start by drawing a relevant figure showing all the components of your derivation. Consider making symmetry arguments to simplify the derivation.

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Electric Charges and Fields

One of the fundamental properties is the electromagnetic property. Charge cannot be destroyed by any process and this contributes formally to the law of charge conservation.