Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Textbook Question
Chapter 22, Problem 22P
(II) A point charge Q rests at the center of an uncharged thin spherical
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(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.
(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.
(c) As shown in Figure 3, there are 2 non-conducting rings each with uniform charge q1
and q2. Both rings have the same radius R. The separation distance between the rings is
d = 4.0 R. Given q1 = 10.0 nC, q2 = -20.0 nC, R= 0.50 m, d= 1.50 m. Calculate the net
electric field at point P.
Ring 1 Ring 2
12
P
R
R
-R→|
d
Figure 3
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...
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- 6 In Fig. 22-27, two identical circu- lar nonconducting rings are centered on the same line with their planes perpendicular to the line. Each ring has charge that is uniformly distrib- uted along its circumference. The rings each produce electric fields at points along the line. For three situations, the charges on rings A and B are, respectively, (1) qo and 9o, (2) -90 and -90, and (3) - and qo. Rank the situations according to the magnitude of the net electric field at (a) point P1 midway between the rings, (b) point P, at the center of ring B, and (c) point P3 to the right of ring B. greatest first. P, P3 Ring A Ring B Figure 22-27 Question 6.arrow_forward(iv)arrow_forward((201)- durm. O Diferansiyel Denkle. Two charged particles are placed at the corners of a right triangle as shown in the figure. The net electric field at point P is in +x direction. Find q2 in terms of q1. (sin 53.1° = cos 36.9° = 0,8 and sin 36.9° = cos 53.1° = 0, 6) matris I dif a AP Physics Lectures.. WeBWc P Enet Oa. 92 8. Ob. 42 25 36.9 12 92 Oc. 42 64 27 91 O d. 92 16 9. O e. 64 91 27 Of. 92 169 16 92 81 O h. 92 = 36 25 1043arrow_forward
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- (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_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_forward65 In Fig. 22-64a, a particle of charge +Q produces an electric field of magnitude Epart at point P, at distance R from the particle. In Fig. 22-64b, that same amount of charge is spread uniformly along a circular arc that has radius R and subtends an angle 0. The charge on the arc pro- +Q/e/2 duces an electric field e/2 of magnitude Eare at its cen- ter of curvature P. For what value of e does Eare 0.500Epart? (Hint: You will probably resort to a graphi- cal solution.) (a) (6) Figure 22-64 Problem 65.arrow_forward
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