University Physics Volume 2
18th Edition
ISBN: 9781938168161
Author: OpenStax
Publisher: OpenStax
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Chapter 6, Problem 76AP
Suppose that the electric field of an isolated point charge were proportional to
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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_forwardWhat is the electric field at any point outside the shell of radius R where a positive charge Q is placed on it? (Take r to be the radius of the Gaussian sphere)arrow_forwardFor Gauss's law, the net flux through a closed surface depends on (i) the radius of the gaussian sphere and (ii) the sign/s of the enclosed charge/s.A. i is right; ii is wrongB. i is wrong; ii is rightC. Both i and ii are rightD. Both i and ii are wrongarrow_forward
- Calculate the electric field of a very thin spherical shell of radius R with total charge 3Q distributed uniformly throughout the shell for the following regions: a. inside the spherical shell and b. outside the spherical shell.arrow_forwardthe figure shows a solid sphere of total charge Q and radius R. Inside the sphere is a gaussian surface with radius r and it encloses charge q. use the definition of volumetric charge density to find the ratio of q/Qarrow_forwardUse Gauss’s Law to prove that the electric field anywhere inside the hollow of a charged spherical shell must be zero. Repeat for a charged hollow infinite cylinder.arrow_forward
- A closed box has a net electric flux of -4.8×108 N·m2 /C through it. The net amount of charge enclosed by the box is Consider two imaginary spherical surfaces surrounding a point charge +Q. One is a sphere of radius 10 cm and the other is a sphere of radius 20 cm. Which statement about the net flux through these surfaces is correct?arrow_forwardUsing Gauss law, derive an expression for the electric field within the sphere as a function of distance r from the centre (that is, for r < R).arrow_forwardFind the electric field everywhere of an infinite uniform line charge with total charge Q. Sol. Using Gauss's Law: (contour integral E with rightwards harpoon with barb upwards on top) * (stack d A with rightwards harpoon with barb upwards on top) = ___________ /epsilon0 EA = ___________ / epsilon0 Since, its the line charge we use the area of a cylinder surrounding the line charge E*2pi ___________ L= ___________ / epsilon0 But all the charged get enclosed by the cylinder area, so qenc = Q Deriving, we get: E = (1/2(pi*epsilon0))*(___________ /rL) **see picture for the symbols usedarrow_forward
- The figure below shows a non-conducting spherical shell with a charge density of ρ = + 2 x 10-6 C/m^3. If the inner and outer radii of the sphere a = 10 cm and b = 20 cm, respectively, find the electric field strength E as a function of the distance from the center of the sphere's shell r, with r from zero to 30 cm.arrow_forwardAccording to Gauss’ law, when a long rod or wire is charged with a uniform linear charge density, the electric field due to the uniform line of charge is proportional to ______, where is the distance between the rod and the Gaussian surface. Select one: a. r2 b. 2r c. 1/r d. rarrow_forwardAn infinite, uniform, line of charge is on the x-axis. The linear charge density is (lambda), with units of C/m. Find an expression for the electric field at a particular y-value on the y-axis at x=0, using Gauss's Law. Do this problem as if (lambda) is positive -- the answer is valid regardless of the sign. If (lambda) = 2.5 nC/m, and y = 8 cm, calculate the electric field.arrow_forward
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