Question

We typically consider cases in class where charge is distributed
completely uniformly, but it's not always that way - let's consider
an insulating sphere (radius R) with surface charge density s
*=*s*0 sin2(*q*) cos2(*f*)*.

(a) Describe briefly in words and a picture what this charge distribution "looks like"

– i.e. where on the sphere is there more charge and where is there is less charge.

(b) Set up an integral for the total charge on this sphere in terms of R and s0 .

Evaluate the integral to show that the total charge is 4

5?R2s0.

(c) Briefly but clearly, describe a *procedure* to find
**E**(x,0,0) (for x>R)?

Answer #1

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