CAN YOU PLEASE SOLVE THE TREE PARTS OF THE QUESTION In the region of space shown in the diagram in Question 1, there is an electric field given byÉ (x, y, z) = (5.0)î + (3.0 – y²)j + (4.0z)kwhere the units of the electric field are N/C provided x, y, and z are measured in units of metres. Alsoshown in the diagram is a Gaussian cube of side length a = 0.5 m. Calculate how much charge iscontained inside the Gaussian cube.The parts below walk you through related questions, and the steps with which to solve this problem.Please show all work in the boxes provided.1. On the diagram below, draw the normal vectors for all six faces of the cube (have the tail of thevector placed at the dots, 1 mark). What is the surface area vector for the top (3) and the bottom (6)faces of the cube in terms of î, ĵ, k.2. Write expressions of the electric field Ē along each of the faces of the cube.Ē, (a, y, z) =Ē, (x, a, z) =Ē,(x, y, a) =Ē,(0, y, z) =Ē,(x, 0, z) =Ē,(x, y, 0) =3. Calculate the value of E =(Ē. dÃ o on face 3 of the cube. Show all your steps.

Answered: Image /qna-images/answer/456e94cb-245e-4058-b334-06544c2474c9.jpg

In the region of space shown in the diagram in Question 1, there is an electric field given by Ē (x, y, z) = (5.0)î + (3.0 – y²)j + (4.0z)k where the units of the electric field are N/C provided x, y, and z are measured in units of metres. Also shown in the diagram is a Gaussian cube of side length a = 0.5 m. Calculate how much charge is contained inside the Gaussian cube.

In the region of space shown in the diagram in Question 1, there is an electric field given by Ē (x, y, z) = (5.0)î + (3.0 – y²)j + (4.0z)k where the units of the electric field are N/C provided x, y, and z are measured in units of metres. Also shown in the diagram is a Gaussian cube of side length a = 0.5 m. Calculate how much charge is contained inside the Gaussian cube.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter25: Gauss’s Law

Section: Chapter Questions

Problem 43PQ: The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R),...

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