Three charges are located at the vertices of a triangle, as shown. 3 charges are at the corners of an equilateral triangle with sides 1 m in length. The bottom two charges are each negative 4 Coulombs. The top charge is negative 3 Coulombs. There are vectors from the top charge north labeled W, south labeled Y, east labeled X, and west labeled Z. Which vector best represents the net force acting on the –3 C charge in the diagram? W X Y Z

The force is W

Explanation:

Sum of Electrostatic Forces

The electrostatic forces have magnitude and direction as all physical forces do. Two point charges repel each other if their charges have the same sign, and they attract each other if their signs are opposite.

The bottom two charges and the top charges are negative, thus all the forces are repulsive. Charge 1 exerts a force F1, charge 2 exerts a force F2. Please look at the diagram in the figure below. The sum of both forces is shown with a red line. The horizontal component of the forces cancel each other, thus the total force goes upward.

The correct vector that best represents the net force is W

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where are the vectors ?