University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Textbook Question
Chapter 6, Problem 25P
A square surface of area 2 cm2 is in a space of uniform electric field of magnitude
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A flat sheet of paper is cut into an equilateral hexagon that is oriented so that the normal to the sheet is at an angle of 60 degrees to a uniform electric field of magnitude 14 MN/C. If the length of the line formed by joining the first and the fourth vertex is 200 mm, find the magnitude of the electric flux through the sheet.
Consider the uniform electric field E → = (4.0 j ^ + 3.0k ^ ) × 103 N/C. What is its electric flux through a circular area of radius 2.0 m that lies in the xy-plane?
Consider a plane surface in a uniform electric field as in the Figure , where d=15 cm and Theta=70 . If the net flux through the surface is 6.00 Nm2/C, find the magnitude of the electric field
Chapter 6 Solutions
University Physics Volume 2
Ch. 6 - Check Your Understanding What angle should there...Ch. 6 - Check Your Understanding If the electric field in...Ch. 6 - Check Your Understanding Calculate the electric...Ch. 6 - Check Your Understanding Check that the electric...Ch. 6 - Check Your Understanding A thin straight wire has...Ch. 6 - Check Your Understanding How will the System above...Ch. 6 - Discuss how to orient a planar surface of area A...Ch. 6 - What are the maximum and minimum values of the...Ch. 6 - The net electric flux crossing a closed surface is...Ch. 6 - The net electric flux crossing an open surface is...
Ch. 6 - Two concentric spherical surfaces enclose a point...Ch. 6 - Compare the electric flux through the surface of a...Ch. 6 - (a) If the electric flux through a closed surface...Ch. 6 - Discuss how Gauss's law would be affected if the...Ch. 6 - Discuss the similarities and differences between...Ch. 6 - Discuss whether Gauss's law can be applied to...Ch. 6 - Is the term in Gauss's law the electric field...Ch. 6 - Reformulate Gauss's law by choosing the unit...Ch. 6 - Would Gauss's law be helpful for determining the...Ch. 6 - Discuss the role that symmetry plays in the...Ch. 6 - Discuss the restrictions on the Gaussian surface...Ch. 6 - Is the electric field inside a metal always zero?Ch. 6 - Under electrostatic conditions, the excess charge...Ch. 6 - A charge q is placed in the cavity of a conductor...Ch. 6 - The conductor in the preceding figure has an...Ch. 6 - A uniform electric field of magnitude 1.1104 N/C...Ch. 6 - Calculate the flux through the sheet of the...Ch. 6 - Find the electric flux through a rectangular area...Ch. 6 - The electric flux through a square-shaped area of...Ch. 6 - Two large rectangular aluminum plates of area 150...Ch. 6 - A square surface of area 2 cm2 is in a space of...Ch. 6 - A vector field is pointed along the z-axis,...Ch. 6 - Consider the uniform electric field...Ch. 6 - Repeat the previous problem, given that the...Ch. 6 - An infinite charged wire with charge per unit...Ch. 6 - Determine the electric flux through each surface...Ch. 6 - Find the electric flux through the closed surface...Ch. 6 - A point charge q is located at the center of a...Ch. 6 - A point charge of 10C is at an unspecified...Ch. 6 - A net flux of 1.0104 N ? m2/C passes inward...Ch. 6 - A charge q is placed at one of the comers of a...Ch. 6 - The electric flux through a cubical box 8.0 cm on...Ch. 6 - The electric flux through a spherical surface is...Ch. 6 - A cube whose sides are of length d is placed in a...Ch. 6 - Repeat the previous problem, assuming that the...Ch. 6 - A total charge 5.0106 C is distributed uniformly...Ch. 6 - Recall that in the example of a uniform charged...Ch. 6 - Suppose that the charge density of the spherical...Ch. 6 - A very long, thin wile has a uniform linear charge...Ch. 6 - A charge of 30C is distributed uniformly a...Ch. 6 - Repeat your calculations for the preceding...Ch. 6 - A total charge Q is distributed uniformly...Ch. 6 - When a charge is placed on a metal sphere, it ends...Ch. 6 - A large sheet of charge has a uniform charge...Ch. 6 - Determine if approximate cylindrical symmetry...Ch. 6 - A long silver rod of radius 3 cm has a charge of...Ch. 6 - ne electric field at 2 cm from the center of long...Ch. 6 - A long copper cylindrical shell of inner radius 2...Ch. 6 - Charge is distributed uniformly with a density p...Ch. 6 - Charge is distributed throughout a very long...Ch. 6 - The electric field 10.0 cm from the surface of a...Ch. 6 - Charge is distributed throughout a spherical shell...Ch. 6 - Charge is distributed throughout a spherical...Ch. 6 - Consider a uranium nucleus to be sphere of radius...Ch. 6 - The volume charge density of a spherical charge...Ch. 6 - An uncharged conductor with an internal cavity is...Ch. 6 - An uncharged spherical conductor S of radius R has...Ch. 6 - A positive point charge is placed at the angle...Ch. 6 - A long cylinder of copper of radius 3 cm is...Ch. 6 - An aluminum spherical ball of radius 4 cm is...Ch. 6 - A long cylinder of aluminum of radius R meters is...Ch. 6 - At the surface of any conductor in electrostatic...Ch. 6 - Two parallel plates 10 cm on a side are given...Ch. 6 - Two parallel conducting plates, each of...Ch. 6 - The surface charge density on a long straight...Ch. 6 - A point charge q=5.01012 C is placed at the center...Ch. 6 - A solid cylindrical conductor of radius a is...Ch. 6 - A vector field E (not necessarily an electric...Ch. 6 - Repeat the preceding problem, with E=2xi+3x2k.Ch. 6 - A circular area S is concentric with the origin,...Ch. 6 - (a) Calculate the electric flux through the open...Ch. 6 - Suppose that the electric field of an isolated...Ch. 6 - The electric field in a region is given by...Ch. 6 - Two equal and opposite charges of magnitude Q are...Ch. 6 - A fellow student calculated the flux through the...Ch. 6 - A 10cm10cm piece of aluminum foil of 0.1 mm...Ch. 6 - Two 10cm10cm pieces of aluminum foil of thickness...Ch. 6 - Two large copper plates facing each other have...Ch. 6 - The infinite slab between the planes defined by...Ch. 6 - A total charge Q is distributed uniformly...Ch. 6 - A non-conducting spherical shell of inner radius...Ch. 6 - Two non-conducting spheres of radii R1 and R2 are...Ch. 6 - A disk of radius R is cut in a non-conducting...Ch. 6 - Concentric conducting spherical shells carry...Ch. 6 - Shown below ale two concentric conducting...Ch. 6 - A point charge of q=5.0108 C is placed at the...Ch. 6 - Re-derive Gauss's law for the gravitational field,...Ch. 6 - An infinite plate sheet of charge of surface...Ch. 6 - A spherical lubber balloon carries a total charge...Ch. 6 - Find the electric field of a large conducting...
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- Consider a plane surface in a uniform electric field as in Figure P24.48, where d = 15.0 cm and = 70.0. If the net flux through the surface is 6.00 N find the magnitude of the electric field. Figure P24.48arrow_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_forwardThe figure shows a Gaussian surface in the shape of a cube with edge length 1.60 m. What are (a) the net flux through the surface and (b) the net charge qenc enclosed by the surface ifthe electric field in the region is in the positive y direction and has a magnitude that is given by E = 3.93y N/C? What are (c) the net flux and (d) net enclosed charge if the electric field is in the xy plane and has components Ex = -4.66 N/C and Ey = (6.79 + 3.93y) N/C?arrow_forward
- Consider an imaginary cylinder with a radius of r = 0.165 mm and a length of l = 0.465 m that has an infinite line of positive charge running along its axis. The charge per unit length on the line is λ = 6.85 μC/m. What is the electric flux through the cylinder due to this infinite line of charge?arrow_forwardA square surface of area 9 cm2 is in a space of uniform electric field of magnitude 104 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 (in N · m2/C) through the square, when the normal to it makes the following angles with the electric field. Note that these angles can also be given as 180° + θ. a. 36degrees b. 90 degrees c. 0 degreesarrow_forwardConsider the uniform electric field E = (3.0ĵ + 7.0) ✕ 103 N/C. (a) What is its electric flux (in N · m2/C) through a circular area of radius 2.3 m that lies in the yz-plane? (Enter the magnitude.) (b) What is its electric flux (in N · m2/C) through a circular area of radius 2.3 m that lies 45.0° above the xy-plane? (Assume that the unit normal vector is n̂ = 1/(2)1/2(î+k). )arrow_forward
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- A square surface of area 2.3 cm2 is in a space of uniform electric field of magnitude 1800 NC. 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 the electric field. Note that these angles can also be given as 180°+θ. (a) 30° (b) 90° (c) 0°arrow_forwardCalculate the magnitude of the flux of a constant electric field of 5.00 N/C in the z-direction through a rectangle with area 4.00 m2 in the xy-planearrow_forwardThere is an electric flux of 38.5 N⋅m^2/C through the square region shown in the figure. Each side of the square has a length of 0.100 m, n^ is the unit vector normal to the plane of the surface, and the electric field is at an angle of ?=141 relative to the plane of the surface. Assuming that the field is uniform over the region shown, what is the magnitude ? of the electric field?arrow_forward
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