Don't use chat gpt What is the total charge inside the Gaussian surface?Q =iC The electric field is measured all over a box-shaped Gaussian surface of length L = 4 cm and height and width h = w = 1.1 cm. Thefield is found to vary in magnitude but not in direction. All over the surface the electric field is in the +x direction, but on the left halfof the box the magnitude of the electric field Ễ₁ is 2.73 × 105 N/C, while on the right half of the box the magnitude of the electric fieldE2 is 5.46 x 105 N/C, as shown in the diagram.hWĒ₁LE₂x

The question presented involves the application of Gauss's law to determine the total charge…

Answered: What is the total charge inside the…

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 53PQ

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Two solid spheres, both of radius 5 cm, carry identical total charges of 2 C. Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume. (i) How do the magnitudes of the electric fields they separately create at a radial distance of 6 cm compare? (a) EA EB = 0 (b) EA EB 0 (c) EA = EB 0 (d) 0 EA EB (e) 0 = EA EB (ii) How do the magnitudes of the electric fields they separately create at radius 4 cm compare? Choose from the same possibilities as in part (i).
A thin, square, conducting plate 50.0 cm on a side lies in the xy plane. A total charge of 4.00 108 C is placed on the plate. Find (a) the charge density on each face of the plate, (b) the electric field just above the plate, and (c) the electric field just below the plate. You may assume the charge density is uniform.
A circular ring of charge with radius b has total charge q uniformly distributed around it. What is the magnitude of the electric field at the center of the ring? (a) 0 (b) keq/b2 (c) keq2/b2 (d) keq2/b (e) none of those answers
A charge of q = 2.00 109 G is spread evenly on a thin metal disk of radius 0.200 m. (a) Calculate the charge density on the disk. (b) Find the magnitude of the electric field just above the center of the disk, neglecting edge effects and assuming a uniform distribution of charge.
A solid, insulating sphere of radius a has a uniform charge density throughout its volume and a total charge Q. Concentric with this sphere is an uncharged, conducting, hollow sphere whose inner and outer radii are b and c as shown in Figure P19.75. We wish to understand completely the charges and electric fields at all locations. (a) Find the charge contained within a sphere of radius r a. (b) From this value, find the magnitude of the electric field for r a. (c) What charge is contained within a sphere of radius r when a r b? (d) From this value, find the magnitude of the electric field for r when a r b. (e) Now consider r when b r c. What is the magnitude of the electric field for this range of values of r? (f) From this value, what must be the charge on the inner surface of the hollow sphere? (g) From part (f), what must be the charge on the outer surface of the hollow sphere? (h) Consider the three spherical surfaces of radii a, b, and c. Which of these surfaces has the largest magnitude of surface charge density?
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.
Figure P23.23 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 with side , and the area of each face is A. In symbolic form, find the electric flux through (a) face , (b) face , (c) face , (d) face , and (e) the top and bottom faces of the cube. (f) What is the net electric flux through the cube? (g) How much charge is enclosed within the gaussian surface? Figure P23.23
Gauss-to mo ba sumama? Charge is distributed throughout a very long cylindrical wire with radius R. The volume charge density increases with distance from the central axis of the wire according to p = kr² where k is a constant and r is the radial distance from the central axis. What is the magnitude of the field at the surface of the wire? O A. 0 O B. kR 4€0 O. kR 4€pr O D. kR?
What is the linear charge density of a thin wire bent into a circle (or ring) of radius 6.48 cm if the total charge on the wire is 3.86 µC? Give your answer in μC/m.
An insulating solid sphere of radius Rhas total charge Q uniformly distributed over its volume. What is the charge included in the region with radius r = R/3? O a. Q/27 O b. Q/6 O c.Q/(3co) O d. Q/3 O e. Q/9
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Determine the net charge inside a cube placed in a region with an electric field E = [6.00î + 7.00ĵ + ((2.80 m-¹)z + 4.00)Ê] N/C. Each side of the cube has a length L = 3.56 m. X What is the direction of the normal for each face of the cube? What is the flux through each face of the cube? Review Gauss's law. nC

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