How does adding a constant Vo affect the potential in Griffith's Ex 3.8?

[m0nk3y]

Homework Statement

In the example of the grounded conducting sphere in the uniform electric field (Ex. 3.8), suppose we keep the constant of integration in V for large r, so that V -> EorPlcos\theta + Vo the electric field at large r is unchanged. Find V outside the sphere under these conditions. What is physically different?

Homework Equations

The Attempt at a Solution

I think this is the same problem. I was just wondering if l = 2? And what will happened to the Vo??

 

[Biest]

The boundary condition is changed this will change the outcome when calculating the field outside

 

[Meir Achuz]

If I understand your question correctly, you just have to add V_0 to the previous answer for the potential anywhere.