Consider a spherical shell with radius R and surface charge density σ = σ0 cosθ

[Tung0705]

Homework Statement

Consider a spherical shell with radius R and surface charge density σ = σ0 cosθ
(a) What is the total charge carried by the shell?
(b) Please evaluate the charge carried by the upper hemisphere, in terms of σ0.

Homework Equations

Q=∫σ0 cosθ da

The Attempt at a Solution

For a), is zero correct?
For b), I don't know how to do the integation.

 

[rude man]

What is theta? What coordinate system are you using?