recitation02-solutions - Physics 2760 Recitation 2 1 A...

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Unformatted text preview: Physics 2760 Recitation 9/09/2008 2 1. A nonuniform electric field given by E = 4i − 3 y + 2 j pierces the Gaussian cube of edge length 2 m and ( ) positioned as shown in the figure below. (E is in N/C and x is in meters). A) What is the electric flux through the top face, bottom face, right face, and back face? B) What is the net electric flux through the cube? 2. A point charge q is located at the center of a uniform ring having linear charge density λ and radius a. Determine the total electric flux through a sphere centered at the point charge and having radius R, where R < a. Problem 2 Problem 3 3. An infinitely long line of charge having a uniform charge per unit length λ lies a distance d from point O as shown in the figure. Determine the total electric flux through the surface of a sphere of radius R centered at O resulting from this line charge. Consider both cases, where R < d, and R > d. 4. The figure below shows a spherical shell with uniform volume charge density ρ = 1.84 nC/m2, inner radius a = 10 cm, and outer radius b = 2a. What is the magnitude of the electric field at radial distances a) r = 0, b) r = a/2, c) r = a, d) r = 1.5a, e) r = b, f) r = 3b? Take ε0 = 8.85 x 10‐12 C2/Nm2 Problem 4 Problem 5 + + b a +θ + + m, q 5. In the figure above, a small, nonconducting ball of mass m = 1 mg, and charge q= 2 x 10‐8 C hangs from an insulating thread that makes an angle θ = 30° with the vertical, uniformly charged nonconducting sheet. Considering the gravitational force on the ball and assuming the sheet extends far vertically and into and out of the page, calculate the surface charge density σ of the sheet. + ...
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