A cube of side L = 2.8 m lies in a region where the electric field is given by E- + 5.6) 1 - 7.51] N/C. We wish to find the net electric flux through the cube by first calculating the flux through each of the six faces. Here, x₁ == 1.5 m.xL(a) What is the flux through the left face of the cube?N⚫ m²/C(b) What is the flux through the right face of the cube?N. m²/c(c) What is the flux through the top face of the cube?N⚫ m²/C(d) What is the flux through the bottom face of the cube?N. m²/C(e) What is the flux through the front face of the cube?N⚫ m²/C(f) What is the flux through the back face of the cube?N⚫ m²/C(g) What is the net flux through the cube?N⚫ m²/C

Step 1: Step 2: Step 3: Step 4:

Answered: A cube of side L = 2.8 m lies in a…

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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A dosed surface with dimensions a = b= 0.400 111 and c = 0.600 in is located as shown in Figure 124.63. The left edge of the closed surface is located at position x = a. The electric field throughout the region is non- uniform and is given by E = (3.00 + 2.00x2)i N/C, where x is in meters. (a) Calculate the net electric flux leaving the closed surface. (b) What net charge enclosed by the surface?
An insulating solid sphere of radius a has a uniform volume charge density and carries a total positive charge Q. A spherical gaussian surface of radius r, which shares a common center with the insulating sphere, is inflated starting from r = 0. (a) Find an expression for the electric flux passing through the surface of the gaussian sphere as a function of r for r a. (b) Find an expression for the electric flux for r a. (c) Plot the flux versus r.
A solid cylindrical conductor of radius a is surrounded by a concentric cylindrical shell of inner radius b. The solid cylinder and the shell carry charges +Q and Q , respectively. Assuming that the length L of both conductors is much greater than a or b, determine the electric field as a function of r, the distance from the common central axis of the cylinders, for (a) ra; (b) arb; and (c) rb.
Repeat the previous problem, given that the circular area is (a) in the yz-plane and (b) 45( above the xy-plane.
The surface charge density on a long straight metallic pipe is . What is the electric field outside and inside the pipe? Assume the pipe has a diameter of 2a.
The electric flux through a cubical box 8.0 cm on aside is 1.2103 N m2/C. What is the total charge enclosed by the box?
Two parallel conducting plates, each of cross-sectional area 400 cm2, are 2.0 cm apart and uncharged. If 1.01012 electrons are transferred from one plate to the other, what are (a) the charge density on each plate? (b) The electric field between the plates?
Find the electric flux through the surface in Figure 15.28. Assume all charges in the shaded area are inside the surface. (a) (3 C)/0 (b) (3 C)/0 (c) 0 (d) (6C)/0
A vector field is pointed along the z-axis, v=ax2+y2z . (a) Find the flux of the vector field through a rectangle in the xy-plane between axb and cyd. (b) Do the same through a rectangle in the yz-plane between azb and cyd. (Leave your answer as an integral.)
(a) Calculate the electric flux through the open hemispherical surface due to the electric field E =E0k (see below). (b) If the hemisphere is rotated by 90( around the what is the flux through it?
A square surface of area 2 cm2 is in a space of uniform electric field of magnitude 103 N/C . The amount of flux through it depends on how the square is oriented relative to the direction of the electric field. Find the electric flux through the square, when the normal to it makes the following angles with electric field: (a) 30(, (b) 90(, and (c) 0(. Note that these angles can also be given as 1800 + .
A long cylinder of aluminum of radius R meters is charged so that it has a uniform charge per unit length on its surface of . (a) Find the electric field inside and outside the cylinder. (b) Plot electric field as a function of distance from the center of the rod.

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