Consider below questions which can be answered simply (simpler than the "brute-force" alternative) by using Gauss's Law and symmetry. a. A point charge q is located at the center of a cube whose sides are of length L. If there are no other charges in this system, what is the electric flux through one face of the cube? Hint for (a) Focus on the symmetry. Gauss's Law gives you the net flux out of the cube. Based on the symmetry, can you find how this net flux is divided among the 6 faces of the cube? Electric flux through one face of the cube is (Give your answer in terms of given quantities, q, L, and/or physical constants ke or Eg. Use underscore ("") for subscripts and spell out Greek letters.) b. A charge q is placed at one of the corners of a cube of side a, as shown below. Find the magnitude of the electric flux through the shaded face due to q. Assume q > 0. q a First hint for (b) It is easier to see the symmetry if you imagine a cube of side 2a with the charge q in the center. Click on the next hint, if you are not sure how to use this intermediate step to get to the final answer. Second hint for (b) a Submit Question Electric flux through the shaded face is

Consider below questions which can be answered simply (simpler than the "brute-force" alternative) by using Gauss's Law and symmetry. a. A point charge q is located at the center of a cube whose sides are of length L. If there are no other charges in this system, what is the electric flux through one face of the cube? Hint for (a) Focus on the symmetry. Gauss's Law gives you the net flux out of the cube. Based on the symmetry, can you find how this net flux is divided among the 6 faces of the cube? Electric flux through one face of the cube is (Give your answer in terms of given quantities, q, L, and/or physical constants ke or Eg. Use underscore ("") for subscripts and spell out Greek letters.) b. A charge q is placed at one of the corners of a cube of side a, as shown below. Find the magnitude of the electric flux through the shaded face due to q. Assume q > 0. q a First hint for (b) It is easier to see the symmetry if you imagine a cube of side 2a with the charge q in the center. Click on the next hint, if you are not sure how to use this intermediate step to get to the final answer. Second hint for (b) a Submit Question Electric flux through the shaded face is

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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1. A very large flat insulating sheet with uniform charge per area n (SI units: C/m²) sits in the y-z plane at x = 0. We want to find the electric field at a point Pa distance x from the sheet. Assume P is far from the edges and x is small compared to the size of the sheet. Assume that is positive. From symmetry, the electric field must point directly away from the sheet. We choose to draw the Gaussian surface as a cylinder of radius R that extends a distance x on both sides of the sheet. а. Which statement is true regarding the flux through the Gaussian surface? Choose one answer below! The electric flux through all the surfaces is zero. The flux through the endcaps is zero and the flux through the curved section is positive. The flux through the endcaps is zero and the flux through the curved section is negative. R The flux through the curved section is zero. The flux through the right endcaps is positive and through the left endcaps is negative. The flux through the curved section…
Please read the question and leave notes on the answer where appropriate. Please DO NOT skip any steps. Please double check your answer. Please make sure to use gauss's law to answer the question.
1. A thin sheet of sides 2a and 2b lying in the xy plane and centered at the origin has a uniform charge density o (see figure). a. Using the result of Example 1 in the Chapter 23 slides, show that the electric field on the z-axis is given by of ab E = 4k,o arctan | zva² + b² + z². To get full credit you must show an appropriate differential of charge dq and explain any symmetry arguments you might have use to arrive to this result. b. What is the field in the limit a and b going to infinity? Compare your answer with the result of the What If? in Example 3 in the Chapter 23 slides. c. Using the results of part (a), find an integral expression for the electric field at an arbitrary point on the x-axis created by a cube of side 2a centered at the origin with uniform volume charge density p. You do not need to solve this integral.
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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Find the electric field a distance z over the center of a charged disk. List the first four steps to solve this problem! Use metacognition, i.e. validate your result
A charge of 140 μC is at the center of a cube of edge 45.0 cm. No other charges are nearby. (a) Find the flux through each face of the cube. Nm²/c (b) Find the flux through the whole surface of the cube. N . m²/c (c) Would your answers to parts (a) or (b) change if the charge were not at the center? (a) would change. O (b) would change. O Both (a) and (b) would change. O Neither would change.