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A spherical shell of uniform charge density σ has a circular hole cut out of it as shown below:
What is the Electric Field at a radius just outside the sphere, directly over the center of the circular, cut-out hole?
HINT: the hole is small enough that you can treat it as flat, and the point at which you are calculating the field is so close to the hole that it can be approximated as an infinite plane.
An infinite number of charges each of magnitude are placed on the - at the distance of respectively. Find the intensity of electric field at the origin.
If the intensity can be expressed in the form , find .
Assume the medium to be vacuum.
Here, and represent the Gamma function and permittivity of free space respectively.