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Some amount of work is done to bring a positive charge from infinity. But the work done to bring a positive charge from one point to another within an electric field is known as the potential difference between the two points.
The electric potential difference between two points is defined as the amount of work done in moving a unit positive charge from one point to another point against the electric force.
The potential difference between two points
If charge \(Q\) is moved from point \(A\) to point \(B\), then \(W\) is the work done to move the charge from one point to another (\(A\) to \(B\)).
The formula is given as,
Where, \(V\) is the potential difference, \(W\) is the work done, and \(Q\) is the charge in coulomb (\(C\)).
The difference in the electric potential of the two points gives the potential difference.
Consider \(V_{A}\) as the electric potential at point \(A\) and \(V_{B}\) as the electric potential at point \(B\). Now, the potential difference between the two points \(A\) and \(B\) is written as,
1. When \(V_{A}\) is more than \(V_{B}\).
2. When \(V_{B}\) is more than \(V_{A}\).
Unit:
The SI unit of potential difference is volt (\(V\)).
The potential difference between two points is one volt if one joule of work is done in moving one coulomb of charge from one point to another against the electric force.
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