Calculate the electric field on axis of a disc that has charge +q on one half and -q on the other.
Describe the behavior of the potential along the same axis at points far from the disc.
The Attempt at a Solution
My intuition says its zero, as for every contribution to E from one part there will be one at the samne distant but of opposite sign (in both the horizontal and vertical components) that will cancel it. I've done the math and I've also got zero.
The problem is that I'm later asked to describe the behavior of the potential on the disc, and it feels weird that the answer is simply 0.
Please tell me if my intuition is right and if not Ill post my math to see where have I had a mistake.
Thank you for reading.