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Homework Help
Introductory Physics Homework Help
Find charge field within coaxial cables
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[QUOTE="physninj, post: 4347880, member: 454729"] [h2]Homework Statement [/h2] two very long coaxial cylinders. Inner has radius a and is solid with charge per unit length of λ. Volume is also uniform but not defined by a parameter. Outer is hollow with inner radius b and outer radius c. Outer cylinder is a conductor with charge per unit length of -2λ. Find E(r) for all r in terms of given parameters. you can also view attached picture. [h2]Homework Equations[/h2] ∫E.dA=q[SUB]enclosed[/SUB]/ε[SUB]0[/SUB] [h2]The Attempt at a Solution[/h2] I'm hung up right away on what to do with the inner radius from 0->a I've got the left side of the equation I think, but I don't know how to get q[SUB]enclosed[/SUB] in terms of r, if it needs to be. I expect to integrate on that part. Anywho here's where I'm at. E2∏rh=(1/ε[SUB]0[/SUB])∫dq I've got λ=dq/dh where h represents the length of the cable being considered. All the examples seem to use charge density rather than charge per unit length, using this gives me: E2∏rh=(1/ε[SUB]0[/SUB])∫λdh which is not in terms of r. I suppose I could still integrate it and cancel h on both sides, let me know if that's wrong. E2∏rh=(λh/ε[SUB]0[/SUB])→E2∏r=(λ/ε[SUB]0[/SUB]) E(r)=λ/(2∏r*ε[SUB]0[/SUB]) Is this wrong for any reason? It doesn't feel right to not use the radius on the right side. [/QUOTE]
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Introductory Physics Homework Help
Find charge field within coaxial cables
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