We know that electric field at any point inside a charged shell is always zero since there is no charge inside the shell other than the periphery. But why is that?
Being curious I once tried to find out if it is really zero or not using coloumb's law😅. I drew a circle considering origin as the centre. Then I marked total 20 points on the circle, 10 points on each side of the y-axis such that the other 10 points are exactly the image of them(each points ar representing negative charges). Then I took another point on the positive y-axis. Considered that a test object(positive charge) is placed on the y-axis. After calculating the electric field I found that the net electric field is acting towards the positive y-axis(0→∞). The reason behind taking circle is that I thought if infinite numbers of similar circles are taken to form a sphere(hollow) it would form a shell which I have imagined. So the field will increase rather than goimg towards zero.
Can someone explain whether I was correct or not in terms of the process I used?