3D Electric field vector calculation for two parallel plates

[w888k]

Homework Statement

For two metal plates parallel to each other, when voltages was applied to them, there is an electric field in between. I measured the voltage at 12 points (known x,y,z) between them. these 12 points formed a rectangular box (three on each of four lines, which is perpendicular to the plates). Now I want to calculate the electric vector at a point along a line (also perpendicular to the plates) in the middle of the rectangular box. Since the the plate is not of infinite size, the electric field mat not be precisely perpendicular to the plates. so I want to calculate the actual electric field vector. Any body could give me some directions? Thanks.

Homework Equations

The Attempt at a Solution

 

[member 553083]

You can use the 12 points that you have measured to calculate the electric field vector at the point in the middle of the rectangular box. You will need to use the equation E = V/d, where E is the electric field vector, V is the voltage at each of the 12 points, and d is the distance between the point in the middle of the rectangular box and the 12 measured points. By using this equation for each of the 12 points, you can calculate the electric field vector at the point in the middle of the rectangular box.