Question

# Define electric potential due to a point charge and arrive at the expression for the electric potential at a point due to a point charge in its vicinity.

Medium

## Solution

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## The electrostatic potential at any point in an electrostatic field is defined as the work done in carrying a unit positive charge from infinity to that point against the electrostatic force of the field. Consider a point Charge at . Let be a point at a distance from . Consider a point at a distance from . The magnitude of electrostatic force on unit-positive charge at , is along Work Done in moving a unit positive charge from to through a small distance is, Total work done in moving a unit positive change from infinity to the point is, By definition, this work done is equal to the electrostatic potential (V) at that point due to .

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