Questions 1: A point charge of +Q is placed at the centroid of an equilateral tr

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Questions 1: A point charge of +Q is placed at the centroid of an equilateral triangle as shown in the figure below. When a second charge of +Q is placed at one of the triangle's vertices, an electrostatic force of 4.0 N acts on it. What is the magnitude of the force that acts on the center charge due to a third charge of +Q placed at one of the other vertices? Solve and show full work to get all points.

question 2: Same question as above but bottom left Q charge is Negative as well as the center Charge. Solve and show full work to get all points.

A point charge of +Q is placed at the centroid of an equilateral triangle as shown in the figure below. When a second charge of +Q is placed at one of the triangle's vertices, an electrostatic force of 4.0 N acts on it. What is the magnitude of the force that acts on the center charge due to a third charge of +Q placed at one of the other vertices? Solve and show full work to get all points. Same question as above but bottom left Q charge is Negative as well as the center Charge. Solve and show full work to get all points.

Explanation / Answer

1)The system is symmetric relative to all 3 vertices.
hence force=4N

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