Physics for Scientists & Engineers, Volume 2 (Chapters 21-35)
5th Edition
ISBN: 9780134378046
Author: GIANCOLI, Douglas
Publisher: PEARSON
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(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?
13) (I) Two infinite and parallel sheets of charge have the same
surface charge density o C/m². What is the field (a) in the
region between the sheets and (b) in the regions not be-
tween the sheets?
47. (III) A flat slab of nonconducting material has thickness 2d,
which is small compared to its height and breadth. Define
the x axis to be along the direction of the slab's thickness
with the origin at the center of the slab (Fig. 22-41).
If the slab carries a volume
charge density PE(x)
the region -d < x <0 and
PE(x) = +po in the region
0 < xs +d, determine the
electric field E as a function of
x in the regions (a) outside the
slab,
= -Po in
(b) 0 < x < +d, and
(c) -d s x < 0. Let po be a
positive constant.
-
+d
FIGURE 22-41
Chapter 22 Solutions
Physics for Scientists & Engineers, Volume 2 (Chapters 21-35)
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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- 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 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_forwardIn 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 field at point "0". 001|2 R Fig-89arrow_forward8) 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? | 9+ barrow_forward
- 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?arrow_forward(iv)arrow_forward18. (II) A solid metal sphere of radius 3.00 m carries a total charge of -5.50 μC. What is the magnitude of the electric field at a distance from the sphere's center of (a) 0.250 m. (b) 2.90m, (c) 3.10 m, and (d) 8.00 m? How would the answers differ if the sphere were (e) a thin shell, or (f) a solid nonconductor uniformly charged throughout?arrow_forward
- A thin nonconducting rod with a uniform distribution of positive charge Q is bent into a circle of radius R (Fig.22-48). The central perpendicular axis through the ring is a z axis, with the origin at the center of the ring. Whatis the magnitude of the electric field due to the rod at (a) z = 0 and (b) z = ∞? (c) In terms of R, at what positivevalue of z is that magnitude maximum? (d) If R = 2.00 cm and Q = 4.00 μC, what is the maximum magnitude?arrow_forward3 In Fig. 22-24, two particles +3q of charge -q are arranged symmetrically about the y axis; each produces an elec- tric field at point P on that axis. (a) Are the magnitudes of the fields at P equal? (b) Is each electric field directed toward or away from the charge producing it? (c) Is the magnitude of the net electric field at P equal to the sum of the magnitudes E of the two field vec- tors (is it equal to 2E)? (d) Do the x components of those two field vec- tors add or cancel? (e) Do their y components add or cancel? (f) Is +6q -29 Figure 22-23 Question 2. -4 -4 the direction of the net field at P that of the canceling components or the adding components? (g) What is the direction of the net field? Figure 22-24 Question 3. TOarrow_forward(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.arrow_forward
- Ignore work donearrow_forward14. (II) A sphere of radius R has a uniform charge density p C/ m³ except for a spherical cavity of radius a as shown in Fig. 24.30. (a) Show that the field within the cavity is uniform. (Hint: The field at any point within the cavity is the sum of the field due to a sphere of radius R and a sphere of radius a with charge density -p C/m³.) (b) What is the magnitude and direction of the field within the cavity? R d a FIGURE 24.30 Problem 14.arrow_forward(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.arrow_forward
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