GRIFFITH Ex 3.8 with different V

[m0nk3y]

1. The problem statement, all variables and given/known data
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?


2. Relevant equations



3. 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

[clem]

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