Physics for Scientists and Engineers with Modern Physics
4th Edition
ISBN: 9780131495081
Author: Douglas C. Giancoli
Publisher: Addison-Wesley
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Chapter 22, Problem 63GP
Three very large sheets are separated by equal distances of 15.0 cm (Fig. 22–47). The first and third sheets are very thin and nonconducting and have charge per unit area σ of +5.00 μC/m2 and −5.00 μC/m2 respectively. The middle sheet is
FIGURE 22–47 Problem 63.
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(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
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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 .
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pd
Eout = 2€0
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Part D
What is Ein (2), the magnitude of the electric field inside the slab as a function of z?
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Ein (2) =
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|VL]ΑΣΦ
?
Three large sheets are separated by equal distances of 15 cm as shown
in the figure. The first and third sheets are very thin and nonconducting
and have charge per unit area o1 = +4.00 µC/m² and o3 = -4.00 µC/m²,
respectively. The middle sheet is conducting but has no net charge.
|(a) What is the electric field inside the middle sheet?
|(b) Between the left and and middle sheets, and
(c) Between the middle and right sheets?
(d) What is the charge density on the surface middle sheet facing the left
sheet, and
(e) On the surface facing the right sheet?
15.0 cm-
-15.0 cm-
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
field at point "0".
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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