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**1. 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##.

**2. Homework Equations**

3. The Attempt at a Solution

3. The Attempt at a Solution

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?