What Is the Electric Field Outside a Grounded Square Conductor?

[arpon]

Homework Statement

A long metal pipe of square cross-section is grounded on three sides, while the fourth (which is insulated from the rest) is maintained at constant potential $V_0$. What is the electric field just outside the section opposite to $V_0$?

Homework Equations

The Attempt at a Solution

This problem can possibly be solved by solving the Laplace equation under the given boundary condition. But is there any intuitive solution to this?

 

[CalcNerd]

You might want to post some type of drawing. However, I suspect you have a capacitance effect and that is probably your starting point.

 

[arpon]

You might want to post some type of drawing. However, I suspect you have a capacitance effect and that is probably your starting point.