Upon trying to find the electric field using integration (as done below) we get the following result :
According to me there are two problems with this result :
- This function is not of odd parity. It should be of odd parity because the disc divides the space into two symmetric parts and therefore the value of electric field in the two parts must be of equal magnitudes and opposite sign (because of opposite direction).
- The value of electric field at center of disc is coming out to be finite according to the result which I feel intuitively must be zero.
So my question is :
Are these arguments right? If yes, where was the mistake done while deriving the result. If no, why?
Thank you very much :)
Image source : hyperphysics