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Homework Help
Advanced Physics Homework Help
Calculating Energy of Coaxial Cylinders
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[QUOTE="thatguy14, post: 4530876, member: 223350"] [h2]Homework Statement [/h2] There are 2 long coaxial insulating cylinder. The inner and outer cylinders have radii of a and b and charge densities λ and -λ uniformly distributed on the surface. Calulcate energy per unit length 2 ways (equations below) [h2]Homework Equations[/h2] W = [itex]\frac{1}{2}[/itex][itex]\int σ V da[/itex] W = [itex]\frac{ε0}{2}[/itex][itex]\int E^2 dτ[/itex] [h2]The Attempt at a Solution[/h2] So using gausses law, with s (radius of cyliunder) < a there is no electric field as there is no enclosed charge. Outside both cylinders there is no E because there is no net charge. SO the only E and energy is between the 2 cylinders. So I have to do it 2 ways, one with the first and one with the second. I am unsure though how to set up gauss's law to find the E field. Also since we are using line charge how does that change things? So i wrote |E|* 2*pi*l*s =1/ε0[itex]\int λ*2*pi*s*dl[/itex] but this doesn't seem right. I am unsure how to deal with the line charge. Do i use like surface charge still but write it as σ = 2*pi*r*dl but what are the limits of integration? I am just a little confused at this part. Help would be nice! Thanks [/QUOTE]
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Calculating Energy of Coaxial Cylinders
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