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Unformatted text preview: ). Plot the magnitude, | ~ E | , as a function of r . 5. Find the potential, Φ , at a distance z above the center of the charge distributions shown below: (a) (b) (c) 6. Cheng, P. 3-17 . In class, we found the electric ﬁeld around an inﬁnitely long uniform line of charge by applying Gauss’s Law. This was possible because the ﬁeld in that case is a function of radial distance r only and any coaxial cylindrical surface around an inﬁnite line of uniform charge is an equipotential surface. In practice, of course, all charge sources must be of ﬁnite length and, as a result, the equipotential surfaces are not coaxial cylinders. Given a ﬁnite line of charge with uniform linear charge density λ and length L , ﬁnd the potential (with reference potential of zero at inﬁnity) on a coaxial cylindrical surface of radius R as a function of x and plot it....
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- Fall '08
- Electromagnet, Electric charge, Coaxial cable, charge density, uniform charge densities, coaxial cylindrical surface