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ECE309-2008-hw2

# ECE309-2008-hw2 - ECE 309 — Electromagnetic Fields...

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Unformatted text preview: ECE 309 — Electromagnetic Fields University of Virginia Fall 2008 Homework # 2 — Electric Fields and Gauss’s Law Due: Wednesday, September 10 1. Find the force between a charged circular disc of radius R and uniform charge density σ and a point charge Q located on the disc axis at a distance h from the plane of the disc. What is the force when h R and as h → ? Plot the force as a function of h . 2. (a) Find the charge distribution that generates an electrostatic field of the form, ~ E = 1 r 2 (1- cos 3 r ) ˆ r V / m (b) A charge distribution, ρ = exp(- r ) μ C / m 3 , is set up in air. Find the electric field associated with this charge. 3. A hollow spherical shell carries a charge density of ρ = k r 2 in the shaded region a ≤ r ≤ b . Find the electric field in the three regions: (I) r < a , (II) a < r < b , and (III) r > b . Plot | ~ E | as a function of r . 4. Two spheres, each of radius R and carrying uniform charge densities + ρ and- ρ , respectively, are placed so that they partially overlap. The vector from the center of the negative sphere toare placed so that they partially overlap....
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ECE309-2008-hw2 - ECE 309 — Electromagnetic Fields...

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