Consider a square which is 1.0 m on a side. Charges are placed at the corners wi

Question

Consider a square which is 1.0 m on a side. Charges are placed at the corners with charges equaling -3 micro-coulombs, 9 micro-coulombs, 3 micro-coulombs, and 9 micro-coulombs (beginning at the top left corner and going clockwise). The distance of each corner to the center of the square is 0.707 m.

A) What is the direction of the electric field at the center of the square. (angle measured in degrees CCW from the positive x axis in the usual sense)

B) What is the electric potential at the center of the square?

C) If a -1 micro-coulomb charge is placed at the center of the square, what is the x-component of the electrostatic force on the charge?

D) If a -1 micro-coulomb charge is placed at the center of the square, what is the y-component of the electrostatic force on the charge?

E) If a -1 micro-coulomb charge is placed at the center, how much work (positive or negative) would you have to do to remove it to infinity?

Thanks in advance!

Explanation / Answer

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