# Electric Potential | Infinite Line Charge

## Electric Potential-

Before you go through this article, make sure that you have gone through the previous articles on-

We have learnt-

The electric field due to a thin infinitely long line charge at a distance r from it is given by-

The relation between electric field and electric potential is given by-

In this article, we will learn the electric potential due to a thin infinitely long line charge.

## Electric Potential Due To A Thin Infinitely Long Line Charge-

Consider-

• A thin infinitely long straight wire having a uniform linear charge density λ Cm-1.
• Two points A and B at perpendicular distances ‘a’ and ‘b’ respectively from the wire.

Let the electric potential at point A be VA and the electric potential at point B be VB.

We will travel from point A to point B and write the relation between electric field and electric potential.

Using the relation, we have-

Substituting the values we have-

Here, negative sign represents that electric potential decreases in the direction of electric field.

### Important Note

In the above expression,

• We cannot find the value of electric potential at any one point by taking the other point at infinity.
• This would yield an absurd result of every point being at infinite potential.
• We could only find the potential difference between any two given points using the above derived result.

Electric Potential Due To Thin Infinite Plane Sheet of Charge

Get more notes & other study material of the Chapter Electrostatic Potential & Capacitance.