Physics for Scientists and Engineers: Foundations and Connections
1st Edition
ISBN: 9781133939146
Author: Katz, Debora M.
Publisher: Cengage Learning
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Chapter 25, Problem 23PQ
To determine
The net electric flux through the cube.
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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
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Find the net electric flux (N · m2/C) through the spherical closed surface shown in the figure below. The two charges on the right are inside the spherical surface. Take q1 = +1.96 nC, q2 = +1.04 nC, and q3 = -3.24 nC.)
Chapter 25 Solutions
Physics for Scientists and Engineers: Foundations and Connections
Ch. 25.1 - a. List all the uppercase letters that have the...Ch. 25.2 - The terms electric force, electric field, and...Ch. 25.2 - Prob. 25.3CECh. 25.3 - Which of the following expressions are correct...Ch. 25.3 - Find the electric flux through the three Gaussian...Ch. 25.4 - Prob. 25.6CECh. 25.7 - Is it possible for the charged solid sphere in...Ch. 25 - Which word or name has the same symmetry as the...Ch. 25 - Prob. 2PQCh. 25 - Prob. 3PQ
Ch. 25 - Prob. 4PQCh. 25 - Prob. 5PQCh. 25 - Prob. 6PQCh. 25 - A positively charged sphere and a negatively...Ch. 25 - A circular hoop of radius 0.50 m is immersed in a...Ch. 25 - Prob. 9PQCh. 25 - If the hemisphere (surface C) in Figure 25.10...Ch. 25 - A Ping-Pong paddle with surface area 3.80 102 m2...Ch. 25 - Prob. 12PQCh. 25 - A pyramid has a square base with an area of 4.00...Ch. 25 - Prob. 14PQCh. 25 - Prob. 15PQCh. 25 - A circular loop with radius r is rotating with...Ch. 25 - A circular loop with radius r is rotating with...Ch. 25 - Prob. 18PQCh. 25 - What is the net electric flux through each of the...Ch. 25 - Prob. 20PQCh. 25 - The colored regions in Figure P25.21 represent...Ch. 25 - Prob. 22PQCh. 25 - Prob. 23PQCh. 25 - Three particles and three Gaussian surfaces are...Ch. 25 - A Using Gausss law, find the electric flux through...Ch. 25 - Three point charges q1 = 2.0 nC, q2 = 4.0 nC, and...Ch. 25 - Prob. 27PQCh. 25 - A very long, thin wire fixed along the x axis has...Ch. 25 - Figure P25.29 shows a wry long tube of inner...Ch. 25 - Two very long, thin, charged rods lie in the same...Ch. 25 - Prob. 31PQCh. 25 - Two long, thin rods each have linear charge...Ch. 25 - Figure P25.33 shows a very long, thick rod with...Ch. 25 - A very long line of charge with a linear charge...Ch. 25 - Two infinitely long, parallel lines of charge with...Ch. 25 - An infinitely long wire with uniform linear charge...Ch. 25 - Prob. 37PQCh. 25 - Prob. 38PQCh. 25 - Prob. 39PQCh. 25 - Prob. 40PQCh. 25 - Two uniform spherical charge distributions (Fig....Ch. 25 - FIGURE P25.41 Problems 41 and 42. Two uniform...Ch. 25 - The nonuniform charge density of a solid...Ch. 25 - Prob. 44PQCh. 25 - What is the magnitude of the electric field just...Ch. 25 - Prob. 46PQCh. 25 - The infinite sheets in Figure P25.47 are both...Ch. 25 - Prob. 48PQCh. 25 - Prob. 49PQCh. 25 - Prob. 50PQCh. 25 - A very large, flat slab has uniform volume charge...Ch. 25 - FIGURE P25.41 Problems 51 and 52. Find the surface...Ch. 25 - Prob. 53PQCh. 25 - Prob. 54PQCh. 25 - If the magnitude of the surface charge density of...Ch. 25 - A spherical conducting shell with a radius of...Ch. 25 - A charged rod is placed in the center along the...Ch. 25 - A charged rod is placed in the center along the...Ch. 25 - A thick spherical conducting shell with an inner...Ch. 25 - A thick spherical conducting shell with an inner...Ch. 25 - A rectangular plate with sides 0.60 m and 0.40 m...Ch. 25 - Prob. 62PQCh. 25 - Prob. 63PQCh. 25 - A uniform spherical charge distribution has a...Ch. 25 - A rectangular surface extends from x = 0 to x =...Ch. 25 - A uniform electric field E = 1.57 104 N/C passes...Ch. 25 - A solid plastic sphere of radius R1 = 8.00 cm is...Ch. 25 - Examine the summary on page 780. Why are...Ch. 25 - Prob. 69PQCh. 25 - Prob. 70PQCh. 25 - Prob. 71PQCh. 25 - A coaxial cable is formed by a long, straight wire...Ch. 25 - Prob. 73PQCh. 25 - Prob. 74PQCh. 25 - A solid sphere of radius R has a spherically...Ch. 25 - A solid sphere of radius R has a spherically...Ch. 25 - A very large, horizontal conducting square plate...Ch. 25 - Prob. 78PQCh. 25 - A particle with charge q = 7.20 C is surrounded by...Ch. 25 - A sphere with radius R has a charge density given...
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- Compare the electric flux through the surface of a cube of side length a that has a charge q at its center to the flux through a spherical surface of radius a with a charge q at its center.arrow_forwardA particle with charge Q is located a small distance immediately above the center of the flat face of a hemisphere of radius R as shown in Figure P19.38. What is the electric flux (a) through the curved surface and (b) through the flat face as 0?arrow_forwardAn 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.arrow_forward
- 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?arrow_forwardA uniform electric field exists in a region of space containing no charges. What can you conclude about the net electric flux through a gaussian surface placed in this region of space?arrow_forwardA long cylinder of copper of radius 3 cm is charged so that it has a uniform charge per unit length on its surface of 3 C/m. (a) Find the electric field inside and outside the cylinder. (b) Draw electric field lines in a plane perpendicular to the rod.arrow_forward
- 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.arrow_forwardA rectangular plate with sides 0.60 m and 0.40 m long is lying in the xy plane. The plate is placed in a uniform electric field E = ( 4.0 + 5.0 + 3.0k) N/C. Calculate the flux through the plate.arrow_forwardIf more electric field lines leave a gaussian surface than enter it, what can you conclude about the net charge enclosed by that surface?arrow_forward
- Discuss how to orient a planar surface of area A in a uniform electric field of magnitude E0 to obtain (a) the maximum flux and (b) the minimum flux through the area.arrow_forwardConsider 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.arrow_forwardA flat surface of area 1.25 m2 is rotated through a uniform horizontal electric field of 5 N/C. What is the electric flux if the surface is (a) parallel and (b) perpendicular to the electric field?arrow_forward
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