Please solve all parts of the qu The figure below represents the top view of a cubic gaussian surface in a uniform electric field E oriented parallel to the top and bottom faces of the cube. The field makes an angle 8 with side 1,and the area of each face is A. (Use any variable or symbol stated above along with the following as necessary: E for the magnitude of the electric field.)(a) In symbolic form, find the electric flux through face 1.ΦΕ→(b) In symbolic form, find the electric flux through in 2.PE=(c) In symbolic form, find the electric flux through face 3.$(d) In symbolic form, find the electric flux through face 4.ФЕDE1(e) In symbolic form, find the electric flux through the top and bottom faces of the cube."top3bottom== (e) In symbolic form, find the electric flux through the top and bottom faces of the cube.DEDEtop=bottom(f) What is the net electric flux through the cube?ΦΕ==Need Help?(g) How much charge is enclosed within the gaussian surface?9inRead It

flux is given by= EAcosθwhere E is the magnitude of electric fieldA is area of surfaceθ is angle…

The figure below represents the top view of a cubic gaussian surface in a uniform electric field E oriented parallel to the top and bottom faces of the cube. The field makes an angle 8 with side 1, and the area of each face is A. (Use any variable or symbol stated above along with the following as nacessary: E for the magnitude of the electric field.) (3) ↑

The figure below represents the top view of a cubic gaussian surface in a uniform electric field E oriented parallel to the top and bottom faces of the cube. The field makes an angle 8 with side 1, and the area of each face is A. (Use any variable or symbol stated above along with the following as nacessary: E for the magnitude of the electric field.) (3) ↑

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter19: Electric Forces And Electric Fields

Section: Chapter Questions

Problem 50P: An insulating solid sphere of radius a has a uniform volume charge density and carries a total...

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A cylinder of diameter 1.72 m is in a region where the electric field is as shown in the figure below. If E1 = 42.4 N/C and E2 = 23.1 N/C, what is the net flux through the two end faces of the cylinder? Note that the diagram is not to scale.
A cylinder of diameter 1.72 m is in a region where the electric field is as shown in the figure below. If E1 = 38.0 N/C and E2 = 20.1 N/C, what is the net flux through the two end faces of the cylinder? Note that the diagram is not to scale. N · m2/C
Consider a cube with edge length L immersed in a uniform electric field E along the x-direction as shown in the figure below. Calculate the electric flux through the closed surface. We need to solve for the electric flux through each face of the cube and take the sum to calculate the net electric flux: The flux through surface 1 is: . The flux through surface 2 is: . The flux through surface 3 is: . The flux through the surface on the xy plane is: . The flux through the surface on the xz plane is: . The flux through the surface on the yz plane is: . Taking the algebraic sum, the net electric flux through the cube is: .
Consider a plane surface in a uniform electric field as in the Figure , where cm and . If the net flux through the surface is 6.00 Nm2/C, find the magnitude of the electric field.
A uniform electric field measured over a square surface with side length d = 15.5 cm makes an angle θ = 67.0° with a line normal to that surface, as shown in the figure below. There is a square horizontal surface with length and width d. The surface has a normal vertical axis at the center with a vector labeled vector E traveling from the center of the plane up and to the right. Vector E and the normal vertical axis form an angle labeled θ. If the net flux through the square is 5.40 N · m2/C, what is the magnitude Eof the electric field (in N/C)? N/C
Find the flux through the top, left, and rights sides of a cube of side 0. 3 m when placed in a horizontal uniform electric field of 8.0 N/C directed to the right.
A uniform electric field of magnitude E = 460 N/C makes an angle of ? = 65.5° with a plane surface of area A = 3.60 m2 as in the figure below. Find the electric flux through this surface. A side view is shown of a plane surface, where one of its dimensions is into the page and the other is horizontal. A uniform electric field, vector E, is incident on the surface. Vector E points down and left, making an acute angle ? with the surface. N · m2/C
A thin straight infinitely long conducting wire having charge density X is enclosed by a cylindrical surface of radius r and length l, its axis coinciding with the length of the wire. Find the expression for the electric flux through the surface of the cylinder.
Calculate the absolute value of the electric flux for the following situations (In all case provide your answer in N m2/C): a. A constant electric field of magnitude 300 N/C at a 30 degrees angle with respect to the flat rectangular surface shown in the Figure above. b. A uniform electric field E = (70 i + 90 k) N/C through a 4 cm ×5 cm in the x-y plane. c. A uniform electric field E = (−350 i + 350 j + 350 k) N/C through a disk of radius 3 cm in the x-z plane.
Consider two thin disks, of negligible thickness, of radius R oriented perpendicular to the x axis such that the x axis runs through the center of each disk. The disk centered at x=0 has positive charge density η, and the disk centered at x=a has negative charge density −η, where the charge density is charge per unit area. What is the magnitude E of the electric field at the point on the x axis with x coordinate a/2? Express your answer in terms of η, R, a, and the permittivity of free space ϵ0.
A solid insulating plastic sphere of radius a carries atotal net positive charge 3Q uniformly distributed throughout its interior.The insulating sphere is coated with a metallic layer of inner radius a andouter radius 2a. The conducting metallic layer carries a net charge of -2Q. Apply Gauss’s law to find the magnitude of the electric field in the region r < a. Inthe figure, draw the Gaussian surface you are using, and indicate on that surface the direction of anyvectors which appear in the mathematical expression of Gauss’s law. Express your answer in terms ofa, Q, r, and ε0. (If you get an expression involving ρ, substitute it from above to re-express youranswer in terms of the stated variables.)
A solid insulating sphere of radius a=4.0 cm carries a net positive charge of Q=3.5 μC uniformly distributed throughout its volume. Concentric with this sphere is a conducting spherical shell with inner radius b = 9.0 cm and outer radius c = 12.0 cm as shown in the figure right, having net charge q=−2.0 μC. Calculate and write the magnitude of the electric field in the interval from r=0 to r=14 cm in 1 cm increments. Hint: There are 4 different regions: 0-a, a-b, b-c, c-14 cm.