Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
4th Edition
ISBN: 9780134110684
Author: Randall D. Knight (Professor Emeritus)
Publisher: PEARSON
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Textbook Question
Chapter 24, Problem 20EAP
What is the net electric flux through the torus (i.e., doughnut
shape) of FIGURE EX24.20?
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13. Calculate the total electric flux through the paraboloidal
surface due to a uniform electric field of magnitude Eo in
the direction shown in Figure P24.13.
E,
Figure P24.13
17. An infinitely long line charge having a uniform charge
unit length A lies a distance d from point O as
per
shown in Figure P24.17. Determine the total electric
flux through the surface of a sphere of radius R cen-
Figure P24.17
(a) Find the net electric flux through the cube shown in Figure P24.15. (b) Can you use Gaussslaw to find the electric field on the surface of this cube? Explain.
Chapter 24 Solutions
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
Ch. 24 - Suppose you have the uniformly charged cube in...Ch. 24 - FIGURE Q24.2 shows cross sections of...Ch. 24 - The square and circle in FIGURE Q24.3 are in the...Ch. 24 - Prob. 4CQCh. 24 - Prob. 5CQCh. 24 - What is the electric flux through each of the...Ch. 24 - Prob. 7CQCh. 24 - The two spheres in FIGURE Q24.8 on the next page...Ch. 24 - The sphere and ellipsoid in FIGURE Q24.9 surround...Ch. 24 - A small, metal sphere hangs by an insulating...
Ch. 24 - l. FIGURE EX24.1 shows two cross sections of two...Ch. 24 - FIGURE EX24.2 shows a cross section of two...Ch. 24 - FIGURE EX24.3 shows a cross section of two...Ch. 24 - The electric field is constant over each face of...Ch. 24 - The electric field is constant over each face of...Ch. 24 - The cube in FIGURE EX24.6 contains negative...Ch. 24 - The cube in FIGURE EX24.7 contains negative...Ch. 24 - The cube in FIGURE EX24.8 contains no net charge....Ch. 24 - What is the electric flux through the surface...Ch. 24 - What is the electric flux through the surface...Ch. 24 - II The electric flux through the surface shown in...Ch. 24 - ]12. A 2.0cm3.0cm rectangle lies in the xy-plane....Ch. 24 - A 2.0cm3.0cm rectangle lies in the xz-plane. What...Ch. 24 - Prob. 14EAPCh. 24 - 15. A box with its edges aligned with
the...Ch. 24 - What is the net electric flux through the two...Ch. 24 - FIGURE EX24.17 shows three charges. Draw these...Ch. 24 - Prob. 18EAPCh. 24 - FIGURE EX24.19 shows three Gaussian surfaces and...Ch. 24 - What is the net electric flux through the torus...Ch. 24 - What is the net electric flux through the cylinder...Ch. 24 - Prob. 22EAPCh. 24 - Prob. 23EAPCh. 24 - A spark occurs at the tip of a metal needle if the...Ch. 24 - The electric field strength just above one face of...Ch. 24 - The conducting box in FIGURE EX24.26 has been...Ch. 24 - FIGURE EX24.27 shows a hollow cavity within a...Ch. 24 - A thin, horizontal, 10-cm-diameter copper plate is...Ch. 24 - Prob. 29EAPCh. 24 - Prob. 30EAPCh. 24 - II A tetrahedron has an equilateral triangle base...Ch. 24 - Charges q1= —4Q and q2= +2Q are located at x = —a...Ch. 24 - Prob. 33EAPCh. 24 - A spherically symmetric charge distribution...Ch. 24 - A neutral conductor contains a hollow cavity in...Ch. 24 - Prob. 36EAPCh. 24 - 37. A 20-cm-radius ball is uniformly charged to 80...Ch. 24 - Prob. 38EAPCh. 24 - Prob. 39EAPCh. 24 - Prob. 40EAPCh. 24 - A hollow metal sphere has 6 cm and 10 cm inner and...Ch. 24 - Prob. 42EAPCh. 24 - Find the electric field inside and outside a...Ch. 24 - Prob. 44EAPCh. 24 - Prob. 45EAPCh. 24 - Prob. 46EAPCh. 24 - FIGURE P24.47 shows an infinitely wide conductor...Ch. 24 - FIGURE P24.48 shows two very large slabs of metal...Ch. 24 - Prob. 49EAPCh. 24 - A very long, uniformly charged cylinder has radius...Ch. 24 - Prob. 51EAPCh. 24 - Prob. 52EAPCh. 24 - II A long cylinder with radius b and volume charge...Ch. 24 - A spherical shell has inner radius Rin, and outer...Ch. 24 - Prob. 55EAPCh. 24 - Newton's law of gravity and Coulomb's law are both...Ch. 24 - Prob. 57EAPCh. 24 - An infinite cylinder of radius R has a linear...Ch. 24 - Prob. 59EAPCh. 24 - A sphere of radius R has total charge Q. The...Ch. 24 - II A spherical ball of charge has radius R and...
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- 54. Figure P24.54 shows a cylindrical Gaussian surface endosing a segment of a long charged wire. Consider using a spheri- cal Gaussian surface to enclose the same segment of the wire. (a) Which surface, cylindrical or spherical, has the greater elec- tric flux through it? (6) Which surface is more appropriate for calculating the electric flux? Justify your answer. B Figure P24.54 Gausslan surface E charged wirearrow_forwardA rectangular sheet is uniformly charged with 17.7 nC and inserted inside a cylindrical surface of diameter D=0.5 m and length L= 0.7 m. Find the net electric flux (in Nm²/C) through the cylindrical surface. Darrow_forward6. I The cube in FIGURE EX24.6 contains negative charge. The electric field is constant over 15 20 each face of the cube. Does the missing electric field vec- tor on the front face point in or out? What strength must 10 this field exceed? Field strengths in N/C 10 FIGURE EX24.6 20arrow_forward
- A total charge Q is distributed uniformly on a metal ring of radius R. a. What is the magnitude of the electric field in the center of the ring at point O (Fig. P24.61)? b. What is the magnitude of the electric field at the point A lying on the axis of the ring a distance R from the center O (same length as the radius of the ring)? FIGURE P24.61arrow_forwardA particle with charge q = 7.20 C is surrounded by a spherical shell of radius R = 1.50 m. What is the electric flux through the spherical cap with half angle = 30.0 (Fig. P25.79)? FIGURE P25.79arrow_forwardCalculate the absolute value of the electric flux for the following situations (In all case provide your answer in N m2/C): a. A constant electric field of magnitude 300 N/C at a 30 degrees angle with respect to the flat rectangular surface shown in the Figure above. b. A uniform electric field E = (70 i + 90 k) N/C through a 4 cm ×5 cm in the x-y plane. c. A uniform electric field E = (−350 i + 350 j + 350 k) N/C through a disk of radius 3 cm in the x-z plane.arrow_forward
- A spherically symmetric charge distribution produces an electric field E = (6250 r2) r N/C (here r is the unit vector in the radial direction). b. What is electric flux (in N m2/C) through a 34 cm diameter spherical surface that is concentric with the charge distribution? How much charge is inside the spherical surface?arrow_forwardThe electric flux through a spherical Gaussian surface of radius r=20.0cm, with a uniformly charged, spherical conducting shell at its center, is ΦE =−2.30 × 104 N·m2/C. T c. How many excess electrons or protons does this sphere contain? d. f the conductor has a radius of R = 10.0 cm, what is its surface charge density? e. What is the electric field strength at the surface of the conductor?arrow_forwardA spherical shell of radius 1.50 m contains a single charged particle with q = 24.0 nC at its center. (a) What is the total electric flux through the surface of the shell? N. m?/C (b) What is the total electric flux through any hemispherical portion of the shell's surface? N. m?/C Need Help? Read Itarrow_forward
- A spherically symmetric charge distribution produces an electric field E = (6250 r2) r N/C (here r is the unit vector in the radial direction). a. What is the electric field strength at r = 17 cm?arrow_forwardA sphere of radius R has a uniform volume density p. A spherical cavity of radius b whose center lies at 7 = a is removed from the sphere. a. Find the electric field at any point inside the spherical cavity. b. Find the electric field outside the cavity. Fig. P G 0 12arrow_forwardQ5. The figure here shows a Gaussian rectangular of side lengths x, y and z immersed in a uniform electric field E that has the positive direction of the z axis. In terms of E and A, what is the flux through (a) the front face (which is in the xy plane), (b) the rear face, (c) the top face, and (d) the whole cube?arrow_forward
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