EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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What 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. (note: k = 1/4πε0 )
What is the electric field at any point inside the shell of radius R where a positive charge Q is placed on it? Take r to be the radius of the Gaussian sphere. (note: k = 1/4πε0 )
Use Gauss's Law to find the charge enclosed by the cube with vertices
(+/-1, +/-1, +/-1) if the electric field is E(x, y, z) = xi + yj + zk.
what can you conclude about the relationship among the electric flux, electric field lines, and the charge enclosed by the surface?
Chapter 22 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 22.1 - Which of the following would cause a change in the...Ch. 22.2 - A point charge Q is at the center of a spherical...Ch. 22.2 - Three 2.95 C charges are in a small box. What is...Ch. 22.3 - Prob. 1EECh. 22 - If the electric flux through a closed surface is...Ch. 22 - Is the electric field E in Gausss law....Ch. 22 - What can you say about the flux through a closed...Ch. 22 - The electric field E is zero at all points on a...Ch. 22 - Define gravitational flux in analogy to electric...Ch. 22 - Would Gausss law be helpful in determining the...
Ch. 22 - A spherical basketball (a nonconductor) is given a...Ch. 22 - In Example 226, it may seem that the electric...Ch. 22 - Suppose the line of charge in Example 226 extended...Ch. 22 - A point charge Q is surrounded by a spherical...Ch. 22 - A solid conductor carries a net positive charge Q....Ch. 22 - A point charge q is placed at the center of the...Ch. 22 - A small charged ball is inserted into a balloon....Ch. 22 - Prob. 1MCQCh. 22 - Prob. 2MCQCh. 22 - Prob. 3MCQCh. 22 - Prob. 4MCQCh. 22 - Prob. 5MCQCh. 22 - Prob. 6MCQCh. 22 - Prob. 7MCQCh. 22 - Prob. 8MCQCh. 22 - Prob. 9MCQCh. 22 - Prob. 10MCQCh. 22 - Prob. 1PCh. 22 - (I) The Earth possesses an electric field of...Ch. 22 - (II) A cube of side l is placed in a uniform field...Ch. 22 - (II) A uniform field E is parallel to the axis of...Ch. 22 - (I) The total electric flux from a cubical box...Ch. 22 - (I) Figure 2226 shows five closed surfaces that...Ch. 22 - (II) In Fig. 2227, two objects, O1 and O2, have...Ch. 22 - (II) A ring of charge with uniform charge density...Ch. 22 - (II) In a certain region of space, the electric...Ch. 22 - (II) A point charge Q is placed at the center of a...Ch. 22 - Prob. 11PCh. 22 - (I) Draw the electric field lines around a...Ch. 22 - Prob. 13PCh. 22 - (I) Starting from the result of Example 223, show...Ch. 22 - Prob. 15PCh. 22 - (I) A metal globe has l.50 mC of charge put on it...Ch. 22 - Prob. 17PCh. 22 - (II) A solid metal sphere of radius 3.00 m carries...Ch. 22 - (II) A 15.0-cm-diameter nonconducting sphere...Ch. 22 - (II) A flat square sheet of thin aluminum foil,...Ch. 22 - (II) A spherical cavity of radius 4.50 cm is at...Ch. 22 - Prob. 22PCh. 22 - Prob. 23PCh. 22 - (II) Two large, flat metal plates are separated by...Ch. 22 - (II) Suppose the two conducting plates in Problem...Ch. 22 - Prob. 26PCh. 22 - (II) Two thin concentric spherical shells of radii...Ch. 22 - (II) A spherical rubber balloon carries a total...Ch. 22 - (II) Suppose the nonconducting sphere of Example...Ch. 22 - (II) Suppose in Fig. 2232, Problem 29, there is...Ch. 22 - (II) Suppose the thick spherical shell of Problem...Ch. 22 - (II) Suppose that at the center of the cavity...Ch. 22 - (II) A long cylindrical shell of radius R0 and...Ch. 22 - (II) A very long solid nonconducting cylinder of...Ch. 22 - (II) A thin cylindrical shell of radius R1 is...Ch. 22 - (II) A thin cylindrical shell of radius R1 = 6.5...Ch. 22 - (II) (a) If an electron (m = 9.1 1031 kg) escaped...Ch. 22 - (II) A very long solid nonconducting cylinder of...Ch. 22 - (II) A nonconducting sphere of radius r0 is...Ch. 22 - (II) A very long solid nonconducting cylinder of...Ch. 22 - (II) A flat ring (inner radius R0, outer radius...Ch. 22 - (II) An uncharged solid conducting sphere of...Ch. 22 - (III) A very large (i.e., assume infinite) flat...Ch. 22 - (III) Suppose the density of charge between r1 and...Ch. 22 - (III) Suppose two thin flat plates measure 1.0 m ...Ch. 22 - (III) A flat slab of nonconducting material (Fig....Ch. 22 - (III) A flat slab of nonconducting material has...Ch. 22 - (III) An extremely long, solid nonconducting...Ch. 22 - (III) Charge is distributed within a solid sphere...Ch. 22 - Prob. 50GPCh. 22 - Prob. 51GPCh. 22 - The Earth is surrounded by an electric field,...Ch. 22 - Prob. 53GPCh. 22 - Prob. 54GPCh. 22 - Prob. 55GPCh. 22 - Prob. 57GPCh. 22 - Prob. 58GPCh. 22 - Prob. 59GPCh. 22 - Prob. 60GPCh. 22 - Prob. 61GPCh. 22 - Prob. 62GPCh. 22 - Prob. 63GPCh. 22 - Prob. 64GPCh. 22 - Prob. 65GPCh. 22 - Prob. 66GP
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Similar questions
- Using 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_forwardIf you know the electric field everywhere on a closed surface, can you calculate the quantity of charge enclosed by the surface? Name the law that allows you to perform this calculationarrow_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
- An 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_forwardIn which of the following contexts can Gausss law not be readily applied to find the electric field? (a) near a long, uniformly charged wire (b) above a large, uniformly charged plane (c) inside a uniformly charged ball (d) outside a uniformly charged sphere (e) Gausss law can be readily applied to find the electric field in all these contexts.arrow_forwardA long, straight wire is surrounded by a hollow metal cylinder whose axis coincides with that of the wire. The wire has a charge per unit length of , and the cylinder has a net charge per unit length of 2. From this information, use Gausss law to find (a) the charge per unit length on the inner surface of the cylinder, (b) the charge per unit length on the outer surface of the cylinder, and (c) the electric field outside the cylinder a distance r from the axis.arrow_forward
- If the net flux through a gaussian surface is zero, the following four statements could be true. Which of the statements must be true? (a) There are no charges inside the surface. (b) The net charge inside the surface is zero. (c) The electric field is zero everywhere on the surface. (d) The number of electric field lines entering the surface equals the number leaving the surface.arrow_forwardTwo infinite, nonconducting sheets of charge are parallel to each other as shown in Figure P19.73. The sheet on the left has a uniform surface charge density , and the one on the right hits a uniform charge density . Calculate the electric field at points (a) to the left of, (b) in between, and (c) to the right of the two sheets. (d) What If? Find the electric fields in all three regions if both sheets have positive uniform surface charge densities of value .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
- Figure P15.49 shows a closed cylinder with cross-sectional area A = 2.00 m2. The constant electric field E has magnitude 3.50 103 N/C and is directed vertically upward, perpendicular to the cylinder's top and bottom surfaces so that no field lines paw through the curved surface. Calculate the electric flux through the cylinder's (a) lop and (b) bottom surface, (c) Determine the amount of charge inside the cylinder. Figure P15.49arrow_forwardThe figure shows a gaussian surface with flat side A and semi-spherical side B. The electric flux through side A is 730 N/(Cm2), and the electric flux through side B is -450 N/(Cm2). What is the total charge inside the surface? 1.180×103 C 2.800×102 C 2.478×10-9 C 5.699×10-10 C 1.044×10-8 Carrow_forwardA charge of 87.6 pCpC is uniformly distributed on the surface of a thin sheet of insulating material that has a total area of 47.2 cm2cm2. A Gaussian surface encloses a portion of the sheet of charge. If the flux through the Gaussian surface is 5.70 N⋅m2/CN⋅m2/C, what area of the sheet is enclosed by the Gaussian surface? Express your answer with the appropriate units.arrow_forward
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