Electric Potential | Plane Sheet of Charge

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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 infinite plane sheet of charge 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 infinite plane sheet of charge.

 

Electric Potential Due To A Thin Infinite Plane Sheet Of Charge-

 

Consider-

  • A thin infinite plane sheet having a uniform surface charge density σ Cm-2.
  • Two points A and B at perpendicular distances ‘a’ and ‘b’ respectively from the sheet.

 

 

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-

 

 

Since electric field due to an infinite plane sheet of charge is constant, so we can use the following relation-

 

 

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.

 

Read the next article on-

Electric Potential Due To Charged Thin Spherical Shell

 

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


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