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## Homework Statement

A surface is defined by a hemisphere of radius b, centered on the x-y plane. The surface charged density is given by [tex]\rho_s(z) = z (\frac{Coul}{m^3})[/tex].

## Homework Equations

[tex]\rho_s(z) = z = Rcos(\theta) = bcos(\theta) (\frac{Coul}{m^3})[/tex].

**3. Question**

My question is how can the surface charge density equal to [tex]Rcos(\theta) = bcos(\theta)[/tex]? That is a measure of the distance from the origin to the surface [element], and thus only [to my knowledge] have units of radius b, or meters [tex]\neq (\frac{Coul}{m^3})[/tex].

Thanks,

JL