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Question: A point charge + Q is placed at the centroid of an equilateral triangle. When a second charge +Q is ...

A point charge + Q is placed at the centroid of an equilateral triangle. When a second charge +Q is placed at a vertex of the triangle, the magnitude of the electrostatic force on the central charge is 4N. What is the magnitude of the net force on the central charge when a third charge +Q is placed at another vertex of the triangle?

A

Zero

B

4 N

C

424\sqrt{2} N

D

8 N

Answer

4 N

Explanation

Solution

FNet = 42+42+2×42cos⁡120∘\sqrt{4^{2} + 4^{2} + 2 \times 4^{2}\cos 120{^\circ}}

= 4N