Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 22, Problem 10P
(II) A point charge Q is placed at the center of a cube of side ℓ. What is the flux through one face of the cube?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
(3) The purpose of this problem is to find the electric field of a ring of charge located in
the x-
z plane and has a diameter d. The ring has a total charge Q. To accomplish this, we
will break the ring of charge into point charges. All answers should be given in terms given
parameters and the coordinate 0. The field point, P, is located at (0, yo, 0).
(a) What is the charge dq of the point charges?
(b) What is the value of î for the point charges:
(c) What are the bounds of integration to find the total electric field?
(d) If instead of a full ring, we have half of a ring, which (if any) of your answers to parts
(a) - (c) change? Which (if any) will stay the same?
(II) The l/r2 form of Coulomb's law implies the following:
(i) The electric field is zero at all points inside a uniformly
charged shell. (ii) The electric field outside a uniformly
charged sphere can be found by treating the charge as being
concentrated at the center. Use these facts to show that
within a uniformly charged sphere of radius R having a
volume charge density p C/m3, the field strength increases
linearly with the distance r from the center. That is, E ex r
for r < R.
(II) The 1/r² form of Coulomb's law implies the following:
(i) The electric field is zero at all points inside a uniformly
charged shell. (ii) The electric field outside a uniformly
charged sphere can be found by treating the charge as being
concentrated at the center. Use these facts to show that
within a uniformly charged sphere of radius R having a
volume charge density p C/m³, the field strength increases
linearly with the distance r from the center. That is, Ex r
for r < R.
Chapter 22 Solutions
Physics for Scientists and Engineers with Modern Physics
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 - A charge Q is placed on a hollow metal ball. We...Ch. 22.3 - CHAPTER-OPENING QUESTIONGuess now! A nonconducting...Ch. 22.3 - Which of the following statements about Gausss law...Ch. 22 - If the electric flux through a closed surface is...Ch. 22 - Is the electric field E in Gausss law....Ch. 22 - A point charge is surrounded by a spherical...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 - (I) A uniform electric field of magnitude 5.8 102...Ch. 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 - (II) A 15.0-cm-long uniformly charged plastic rod...Ch. 22 - (I) Draw the electric field lines around a...Ch. 22 - (I) The field just outside a 3.50-cm-radius metal...Ch. 22 - (I) Starting from the result of Example 223, show...Ch. 22 - (I) A long thin wire, hundreds of meters long,...Ch. 22 - (I) A metal globe has l.50 mC of charge put on it...Ch. 22 - (II) A nonconducting sphere is made of two layers....Ch. 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 - (II) A point charge Q rests at the center of an...Ch. 22 - (II) A solid metal cube has a spherical cavity at...Ch. 22 - (II) Two large, flat metal plates are separated by...Ch. 22 - (II) Suppose the two conducting plates in Problem...Ch. 22 - (II) The electric field between two square metal...Ch. 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 - A point charge Q is on the axis of a short...Ch. 22 - Prob. 51GPCh. 22 - The Earth is surrounded by an electric field,...Ch. 22 - A cube of side has one corner at the origin of...Ch. 22 - A solid nonconducting sphere of radius r0 has a...Ch. 22 - A point charge of 9.20 nC is located at the origin...Ch. 22 - A point charge produces an electric flux of +235 N...Ch. 22 - A point charge Q is placed a distance r0/2 above...Ch. 22 - Three large but thin charged sheets are parallel...Ch. 22 - Neutral hydrogen can be modeled as a positive...Ch. 22 - A very large thin plane has uniform surface charge...Ch. 22 - A sphere of radius r0 carries a volume charge...Ch. 22 - Dry air will break down and generate a spark if...Ch. 22 - Three very large sheets are separated by equal...Ch. 22 - In a cubical volume, 0.70 m on a side, the...Ch. 22 - A conducting spherical shell (Fig. 2249) has inner...Ch. 22 - A hemisphere of radius R is placed in a...Ch. 22 - (III) An electric field is given by...
Additional Science Textbook Solutions
Find more solutions based on key concepts
Plants use the process of photosynthesis to convert the energy in sunlight to chemical energy in the form of su...
Campbell Essential Biology (7th Edition)
Which of the following factors would tend to increase membrane fluidity? A. a greater proportion of unsaturated...
Campbell Biology in Focus (2nd Edition)
10.71 Identify each of the following as an acid or a base: (10.1)
H2SO4
RbOH
Ca(OH)2
HI
...
Chemistry: An Introduction to General, Organic, and Biological Chemistry (13th Edition)
103. What solution can you add to each cation mixture to precipitate one cation while keeping the other cation ...
Introductory Chemistry (6th Edition)
Choose the best answer to each of the following. Explain your reasoning. A light-year is (a) about 10 trillion ...
Cosmic Perspective Fundamentals
30. A cyclotron is used to produce a beam of high-energy deuterons that then collide with a target to produce r...
College Physics: A Strategic Approach (3rd Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- (I) The total electric flux from a cubical box of side 28.0 cm is 1.85 x 103 N.m2C What charge is enclosed by the box?arrow_forward(III) A point charge Q rests at the center of an uncharged thin spherical conducting shell. (See Fig. 16–34.) What is the electric field E as a function of r (a) for r less than the inner radius of the shell, (b) inside the shell, and(c) beyond the shell? (d) How does the shell affect the field due to Q alone? How does the charge Q affect the shell?arrow_forward(2.)(II) Two equal point charges Q are located on the y axis at y = a and y = -a. (a) What is the force on a charge q located at (x, 0)? (b) For what value of x is the force a maximum? Make a rough plot of F(x), the force as a func- tion of x. (c) When x > a, what is the form of F(x)? (Hint: Use the binomial expansion (1+z)" = 1 + nz for small z.)arrow_forward
- (29.)(1) An infinite straight wire of radius r has a linear charge density A. What is the total flux through a cylindrical sur- face of radius R and height H that surrounds the wire and has the same central axis?arrow_forward(II) In Fig. 16–62, two objects, Og and O2, have charges +1.0 µC and – 2.0 µC, respectively, and a third object, O3, is electrically neutral. (a) What is the electric flux through the surface A1 that encloses all three objects? (b) What is the electric flux through the surface A, that encloses the third object only? A1 O3 0,•+1.0 µC A2 IGURE 16-62 02•-2.0 µC roblem 39.arrow_forwardThe electric field everywhere on the surface of a charged sphere of radius 0.204 m has a magnitude of 510 N/C and points radially outward from th center of the sphere. (a) What is the net charge on the sphere? ]nc (b) What can you conclude about the nature and distribution of charge inside the sphere? Thie anewer hae not hean graded vetarrow_forward
- (III) Two small nonconducting spheres have a total chargeof 90.0 µ C (a) When placed 28.0 cm apart, the force eachexerts on the other is 12.0 N and is repulsive. What is thecharge on each? (b) What if the force were attractive?arrow_forward(c) Calculate the magnitude of the force on the charge q, given that the square is 10.0 cm on a side and q=2 μC. Fr net = 0 Case II. 9a = b = +8 μC and qc = qd = -8 μC. N (e) Due to symmetry the direction of the net force is D. In the -y direction Fnet (d) In your notebook, draw the forces on q due to qa, qb, qc, and qd. Or use the result of of Homework: Charges on a Square Free Body Diagram. = 83.91 qc Hint: For each force draw the x and y components. Some will add and some will cancel. (f) Calculate the magnitude of the force on the charge q, given that the square is 10.0 cm on a side and q=2 μC. X N No, that's only partially correct. O qd Xarrow_forwardIgnore what i wrote in pencilarrow_forward
- (II) The electric field between two parallel square metal plates is 130 N/C. The plates are 0.85 m on a side and are separated by 3.0 cm. What is the charge on each plate (assume equal and opposite)? Neglect edge effectsarrow_forwardIgnore work donearrow_forwardA spherical metal shellA of radius R, and a solid metal sphere B ofradius RB (arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
Recommended textbooks for you
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY