(a) Using the law of cosines, show that Eq. 3.17 can be written as follows:
where r and θ are the usual spherical polar coordinates, with the z axis along the line through q. In this form, it is obvious that V = 0 on the sphere, r = R.
(b) Find the induced surface charge on the sphere, as a function of θ. Integrate this to get the total induced charge. (What should it be?)
Reference equation 3.17
Step 1 of 4</p>
First we have to derive the given equation using data after that we need to find the induced surface charge on the sphere.
Step 2 of 4</p>
It is proved.