Work done per unit charge vs Electric Potential
Work done per unit charge and electric potential are related concepts in the field of electrostatics. Let's delve into the details of how they are connected:

Work Done per Unit Charge
- Work done per unit charge is the amount of work required to move a unit positive charge from one point to another in an electric field.
- Mathematically, it is given by the formula W/q, where W is the work done and q is the charge.
- This quantity is a measure of the energy transferred to the charge as it moves through the electric field.

Electric Potential
- Electric potential, on the other hand, is the amount of work done in bringing a unit positive charge from infinity to a point in an electric field.
- It is a scalar quantity and is given by the formula V = W/q, where V is the electric potential.
- Electric potential is a measure of the potential energy per unit charge at a given point in the electric field.

Relationship between Work Done per Unit Charge and Electric Potential
- Work done per unit charge is equal to electric potential. This relationship can be expressed as W/q = V.
- In other words, the work done per unit charge in moving a charge between two points in an electric field is equal to the electric potential difference between those points.
- This relationship highlights the close connection between the concepts of work done per unit charge and electric potential in understanding the behavior of charges in electric fields.
In conclusion, work done per unit charge and electric potential are closely related concepts in electrostatics, with the former representing the energy transferred to a charge and the latter representing the potential energy per unit charge at a given point in an electric field. Their equality, W/q = V, underscores their interdependence in studying the behavior of charges in electric fields.