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Aesteus
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Homework Statement
Calculate the total charge embodied in a solid with charge density that decreases linearly with height from a value of λ at the bottom to 0 at the top.
Solve for a rectangular prism and a sphere.
Homework Equations
∫∫∫ρdxdydz
∫∫∫pr^2sinθdrdθd∅
The Attempt at a Solution
For a rectangular prism, I integrated from 0 to x,y for dx,dy and lambda to 0 for dz. I ended up with Q=x*y*ρ*some function of λ. However, something seems off about this approach, because the charge at any x and y varies with height.
I think if I can get the logic behind the prism, I'll be able to understand the sphere, but any other advice would be helpful.
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