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Phi and Theta ARE NOT PROVIDED. A hemispherical surface defined by a radius r =

ID: 1930408 • Letter: P

Question

Phi and Theta ARE NOT PROVIDED.

A hemispherical surface defined by a radius r = 5 [m] and z>0 has a surface charge density of RHOs = 2(sin theta)(cos^2 phi) [C/m^2]. Find the total charge on the surface.

There has to be a way to solve this problem and leave the answer in the form of symbolic representation. If it will make it easier, assign dummy values. I don't necessarily need the final answer, I just don't know how to set up the problem. By taking a small piece of the surface and finding the charge of the whole sphere does not help since they are asking for the total charge of the surface.

Thank you!

Explanation / Answer

A hemispherical surface defined by a radius r = 5 [m] and z>0 has a surface charge density of RHOs = 2(sin theta)(cos^2 phi) [C/m^2]. Find the total charge on the surface.