Question:

The work done in bringing at a unit positive charge from infinity distance to a point at distance $x$ from a positive charge $Q$ is $W$. Then the potential $ \phi $ at that point is

Updated On: Jun 3, 2024
  • $ \frac{WQ}{X} $
  • $ W $
  • $ \frac{W}{Q} $
  • $ WQ $
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The Correct Option is B

Solution and Explanation

Electric potential at a point in an electric field is defined as the potential energy per unit charge, and which is equal to work done in bringing a unit positive charge from infinity to that point.
$\therefore \phi= W$
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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.