Potential Due To A Charged Particle

Step 1: Understanding the Concept:
The work done in bringing a charge 'q' from infinity to a point 'P' in an electric field is equal to the product of the charge 'q' and the electric potential 'V' at that point P. The electric potential at a point P due to a source charge 'Q' at a distance 'r' is given by .

Step 2: Key Formula or Approach:
1. Calculate the electric potential (V) at point P due to the source charge (Q).
where .
2. Calculate the work done (W) in bringing the charge (q) to point P.

Step 3: Detailed Explanation:
Given:
Source charge, C
Charge to be moved, C
Distance, m
First, we calculate the electric potential V at point P:
Now, we calculate the work done W:

Step 4: Final Answer:
The work done in bringing the charge from infinity to point P is J.