- #1
diredragon
- 323
- 15
Homework Statement
Lets say you have a infinitely long surface with one side of length ##L## and a surface charge density ##ρ_s## and you need to transform that into a linear charge density ##Q'## so that you can represent the surface along some axis ##y## so the the surface is placed normal to the axis and goes from ##y=0## to ##y=L## how would you make that transition? Take the infinitely long dimension to be ##h##.
Homework Equations
3. The Attempt at a Solution [/B]
I tried this line of thinking:
$$Q'=\frac{dQ}{dh}=\frac{ρ_sdS}{dh}=\frac{ρ_sdhdl}{dh}=ρ_sdl$$
Could this be correct and how would it be in a more complicated case? Is there a pattern here?