Q1 Given the electric flux density, D = 2xya, + 2yza, + 2xza, C/m2. By using divergent theorem find Q enclosed in the volume 0 < x < a, 0 < y< a, and 0
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- 2. Consider an insulating spherical shell of inner radius a and outer radius b. a. If the shell has a net charge Q uniformly distributed over its volume, find the vector electric field in all regions of space (r b) as a function of r. b. Now assume that the shell has a non-uniform charge density given by r2 p(r) = Po ab What is the net charge of the shell? c. For the charge distribution in part (b), find the vector electric field in all regions of space (r b) as a function of r.c) For the same cylindrical shell as in the previous problem, draw and label a Gaussian surface and use Gauss's Law to find the radial electric field in the region r > R2. You may take the positive direction as outward. 0 E (r > R2) =Problem 1 The figure below shows three concentric conducting thin spherical shells: • Sphere A of radius R₁ = 6 cm and a total charge QA = 2 nc. • Sphere-B of radius Rg = 21 cm and a total charge QB = -4 nC ⚫ Sphere-C of radius Rc 78 cm and a total charge Qc Qc is an unknown charge. Re RB RA B 1 What is the net electric flux o through the spherical surface of radius r = 13 cm from the center of the spheres? 2 spheres? E= 3. spheres? E= What is the magnitude of the electric field E at r = 59 cm from the center of the What is the magnitude of the electric field E at r=2 cm from the center of the 4. If the magnitude of the electric field is E 192 N/C at r = 93 cm from the center of the spheres, calculate Qc. Qe=
- Which describes the flux of an electric field that is tangent to a section on a closed surface? O The flux is negative. O The flux is positive. O The flux is zero.1. The electric field in a region of space near the origin is given by () E(x, y, z) = Eo a (a) Evaluate the curl V x E(x, y, z) (b) Setting V(0, 0, 0) = 0, select a path from (0,0, 0) to (x, y,0) and compute V (x, y, 0).2. Find the electric field at a distance z above the center of a ring of radius a that has a uniform linear charge density A. Compute (only) the Er and Ez components of a cylindrical coordinate system.
- answer please vA charge of 22.2 pC is distributed uniformly on a spherical surface (r1 = 2.0 cm), and a second charge of-9.2 pC is distributed uniformly on a concentric thin spherical surface (r2 = 4.0 cm). Determine the magnitude of the electric field ( in units of N/C) at a distance of 5.0 cm from the center of the two surfaces. Select one: O A. 3.90 O B. 46.80 OC. 32.50 OD. 59.80 OE. 113.04A conducting sphere witha net charge Q and radius a sits inside a hollow conducting sphere with a net charge q, inside radius b and ouside radius c. What is the electric field as a function of position? Include answer for r < a, a < r < b, b < r< c and r>c