4yz In free space, if D= ax + 8xyz ay + 16 x²y* az pc/m² find a) E at p(2,-1,3) E = fo 22 b) The total electric flux through rectangular surface y=2, 03,1 4 in the ay 500 P direction c) By using Gauss's law,find the total charge in asphere at p(2, -1, 3) having volume of 10-12m³ D. m. 20 + dy 5.025415 -23

The figure shows three Gaussian surfaces and the electric flux through each. What is the charge on q1, q2, and q3. express your answers as a multiple of q.

O Macmillan Learning A sphere of radius R = 0.290 m and uniform charge density -151 nC/m³ lies at the center of a spherical, conducting shell of inner and outer radii 3.50R and 4.00R, respectively. The conducting shell carries a total charge of Q = 14.3 nC, Determine the magnitude E(r) of the electric field at the given radial distances r from the center of the charge distribution. E (0.260R) = E (3.90R) = = E (1.85 R) = N/C N/C N/C R 3.50R 4.00R

Question 1: Gauss' Law: Electric field from surface charge For this problem assume constants are all in SI units that are not shown. An electric field given by E = (3z³+5)k. Calculate the flux through surface S, with side length a = 2, shown below if the surface is at the following heights: (a) z = 0 (b) z = -2 (c) z = 2 E 2.0 m 1.5 m a (d) The electric field in a region is given by E= a/(b + cx)î, where a = 500N m/C, b = 4.0m, and c 1.0. What is the net charge enclosed by the shaded volume shown below? 1.0 m a 425 y