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 65GP
A
FIGURE 22–49 Problem 65.
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8) In Fig. 23-56, a nonconducting spherical shell of inner radius a= 2 cm and outer radius b= 2.4 cm has
(within its thickness) a positive uniform volume charge density p = 2.5nC/m³. In addition, a small ball
of charge q = +4.5 nC is located at that center. What are the magnitude and direction of the electric field
at radial distances (a) r = 1 cm, (b) r = 2.2 cm and (c) r = 3 cm?
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9+
b
65 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
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(6)
Figure 22-64 Problem 65.
In Fig.89 the metallic wire has a uniform linear charge density λ = 4 x 10-⁹C/m, the rounding
radius R=10cm is much smaller than the length of the wire. Find the magnitude of the electric
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001|2
R
Fig-89
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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- -24 Figure 23-40 shows a section of a long, thin-walled metal tube of radius R= 3.00 cm, with a charge per unit length of A = 2.00 x 10-8 C/m. What is the magnitude E of the electric field at radial distance (a) r= R2.00 and (b) r= 2.00R? (c) Graph E versus r for the range r = 0 to 2.00R.arrow_forward*29 SSM www Figure 23-42 is a section of a conducting rod of ra- dius R1 = 1.30 mm and length L = 11.00 m inside a thin-walled coax- ial conducting cylindrical shell of radius R, = 10.0R, and the (same) length L. The net charge on the rod R is Q1 = +3.40 x 10-12 C; that on the shell is Q2 = -2.00Q1. What are the (a) magnitude E and (b) di- rection (radially inward or out- ward) of the electric field at radial distance r = 2.00R,? What are (c) E and (d) the direction at r = 5.00R,? What is the charge on the (e) interior and (f) exterior sur- Q2 Figure 23-42 Problem 29. face of the shell?arrow_forward6 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
- The 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_forward30 In Fig. 23-43, short sections of two very long parallel lines of charge are shown, fixed in place, Line 1 separated by L= 8.0 cm. The uni- form linear charge densities are +6.0 µC/m for line 1 and -2.0 µC/m for line 2. Where along the x axis shown is the net electric field from the two lines zero? Line 2 L/2 | L/2 Figure 23-43 Problem 30.arrow_forward*16 O The box-like Gaussian surface shown in Fig. 23-38 en- closes a net charge of +24.0eo C and lies in an electric field given by E = [(10.0 + 2.00x)i – 3.00j + bzk] N/C, with x and z in me- ters and b a constant. The bottom face is in the xz plane; the top face is in the horizontal plane passing through y, = 1.00 m. For x = 1.00 m,x2 = 4.00 m, z1 = 1.00 m, and z2 = 3.00 m, what is b? -- Figure 23-38 Problem 16.arrow_forward
- Please Asaparrow_forward..33 O In Fig. 22-56, a "semi- infinite" nonconducting rod (that is, infinite in one direction only) has uniform linear charge density A. Show that the electric field E, at point P makes an angle of 45° with the rod and that this result is independent of the distance R. (Hint: Separately find the component of E, parallel to the rod and the component perpendicular to the rod.) Figure 22-56 Problem 33.arrow_forwardQUESTION 4 Find the acceleration in Pm/s2 (1P=1015) for the electron in problem 22.48.a. using a charge density of a = 9.98 µC/m²arrow_forward
- (Figure 1)A slab of insulating material of uniform thickness d, lying between -d/2 to +d/2 along the x axis, extends infinitely in the y and z directions, as shown in the figure. The slab has a uniform charge density p. The electric field is zero in the middle of the slab, at z = 0. Figure x=+d/2 x=0 x= -d/2 1 of 2 0 -1.57 rad Submit ✓ Correct Part C What is Eout, the magnitude of the electric field outside the slab? As implied by the fact that Eout is not given as a function of, this magnitude is constant everywhere outside the slab, not just at the surface. Express your answer in terms of d, p, and . ► View Available Hint(s) pd Eout = 2€0 Previous Answers Submit Previous Answers ✓ Correct Part D What is Ein (2), the magnitude of the electric field inside the slab as a function of z? ▸ View Available Hint(s) Ein (2) = Submit |VL]ΑΣΦ ?arrow_forward.54 Figure 23-58 shows, in cross section, two solid spheres with uni- formly distributed charge through- out their volumes. Each has radius R. Point P lies on a line connecting Figure 23-58 Problem 54. the centers of the spheres, at radial distance R/2.00 from the center of sphere 1. If the net electric field at point Pis zero, what is the ratio q/qı of the total charges?arrow_forward(b): A conducting sphere of radius 1.0cm carries a charge which is uniformly distributed on its surface. The surface charged density is 0.5C/cm², Calculate the electric field at the surface of sphere. widarrow_forward
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