Question:

Three charges each equal to $+2 \,C$ are placed at the corners of an equilateral triangle. If the force between any two charges be $F$, then the net force on either will be :

Updated On: Jul 7, 2022
  • 3 F
  • 2 F
  • $\sqrt 2F $
  • $\sqrt 3F $
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The Correct Option is D

Solution and Explanation

Each charge will experience two forces each of magnitude F inclined to each other at $60^{\circ}$. Their resultant will be : [$F^2 + F^2 + 2 \, F^2 \, cos 60^{\circ}] \, \frac{1}{2} = \sqrt{3}$ F.
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Notes on Electrostatic potential

Concepts Used:

Electrostatic Potential

The electrostatic potential is also known as the electric field potential, electric potential, or potential drop is defined as “The amount of work that is done in order to move a unit charge from a reference point to a specific point inside the field without producing an acceleration.”

SI Unit of Electrostatic Potential:

SI unit of electrostatic potential - volt

Other units - statvolt

Symbol of electrostatic potential - V or φ

Dimensional formula - ML2T3I-1

Electric Potential Formula:

The electric potential energy of the system is given by the following formula:

U = 1/(4πεº) × [q1q2/d]

Where q1 and q2 are the two charges that are separated by the distance d.