Fundamentals of Physics, Volume 1, Chapter 1-20
10th Edition
ISBN: 9781118233764
Author: David Halliday
Publisher: WILEY
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Chapter 23, Problem 39P
SSM In Fig. 23-49, a small, nonconducting ball of mass m = 1.0 mg and charge q = 2.0 × 10−8 C (distributed uniformly through its volume) hangs from an insulating thread that makes an angle θ = 30° with a vertical, uniformly charged nonconducting sheet (shown in cross section). Considering the gravitational force on the ball and assuming the sheet extends far vertically and into and out of the page, calculate the surface charge density σ the sheet.
Figure 23-49 Problem 39.
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In Fig. 23-45, a small, nonconducting
ball of mass m = 1.0 mg and charge q = 2.0 X
10-8C (distributed uniformly through its vol-
ume) hangs from an insulating thread that
makes an angle 0 = 30° with a vertical, uni-
formly charged nonconducting sheet (shown in
eross section). Considering the gravitational
förce on the ball and assuming the sheet extends
får vertically and into and out of the page, calcu-
låte the surface charge density o of the sheet.
m, q
Fig. 23-45
Problem 39.
18 In Fig. 21-29a, three positively
charged particles are fixed on an x
BC
(a)
axis. Particles B and C are so close
to each other that they can be con-
sidered to be at the same distance
B.
A
from particle A. The net force on
particle A due to particles B and
C is 2.014 x 10-23 N in the negative
direction of the x axis. In Fig. 21-
29b, particle B has been moved to the opposite side of A but is still
at the same distance from it. The net force on A is now 2.877 x
10-24 N in the negative direction of the x axis. What is the ratio
Id9n?
(b)
Figure 21-29 Problem 18.
Figure 22-40 shows an electric dipole. What are the (a) magni-
tude and (b) direction (rèlative to the positive direction of the x axis)
of the dipole's electric field at point P, located at distance r> d?
+q
d/2
d/2
Fig. 22-40 Problem 19.
Chapter 23 Solutions
Fundamentals of Physics, Volume 1, Chapter 1-20
Ch. 23 - A surface has the area vector A = 2 i 3 j m2....Ch. 23 - Figure 23-22 shows, in cross section, three solid...Ch. 23 - Figure 23-23 shows, in cross section, a central...Ch. 23 - Figure 23-24 shows, in cross section, two Gaussian...Ch. 23 - In Fig. 23-25, an election is released between two...Ch. 23 - Three infinite nonconducting sheets, with uniform...Ch. 23 - Figure 23-26 shows four situations in which four...Ch. 23 - Figure 23-27 shows four solid spheres, each with...Ch. 23 - A small charged ball lies within the hollow of a...Ch. 23 - Rank the situations of Question 9 according to the...
Ch. 23 - Figure 23-28 shows a section of three long charged...Ch. 23 - Figure 23-29 shows four Gaussian surfaces...Ch. 23 - SSM The square surface shown in Fig. 23-30...Ch. 23 - An electric field given by E = 4.0 i 3.0y2 2.0 j...Ch. 23 - The cube in Fig. 23-31 has edge length 1.40 m and...Ch. 23 - In Fig. 23-32, a butterfly net is in a uniform...Ch. 23 - In Fig. 23-33, a proton is a distance d/2 directly...Ch. 23 - At each point on the surface of the cube shown in...Ch. 23 - A particle of charge 1.8 C is at the center of a...Ch. 23 - When a shower is turned on in a dosed bathroom,...Ch. 23 - ILW Fig. 23-31 shows a Gaussian surface in the...Ch. 23 - Figure 23-34 shows a closed Gaussian surface in...Ch. 23 - GO Figure 23-35 shows a dosed Gaussian surface in...Ch. 23 - Figure 23-36 shows two non-conducting spherical...Ch. 23 - SSM The electric field in a certain region of...Ch. 23 - GO Flux and nonconducting shells. A charged...Ch. 23 - A particle of charge q is placed at one corner of...Ch. 23 - GO The box-like Gaussian surface shown in Fig....Ch. 23 - SSM A uniformly charged conducting sphere of 1.2 m...Ch. 23 - The electric field just above the surface of the...Ch. 23 - Space vehicles traveling through Earths radiation...Ch. 23 - GO Flux and conducting shells. A charged particle...Ch. 23 - An isolated conductor has net charge 10 106 C and...Ch. 23 - An electron is released 9.0 cm from a very long...Ch. 23 - a The drum of a photocopying machine has a length...Ch. 23 - Figure 23-40 shows a section of a long,...Ch. 23 - SSM An infinite line of charge produces a field of...Ch. 23 - Figure 23-41a shows a narrow charged solid...Ch. 23 - GO A long, straight wire has fixed negative charge...Ch. 23 - GO A charge of uniform linear density 2.0 nC/m is...Ch. 23 - SSM WWW Figure 23-42 is a section of a conducting...Ch. 23 - In Fig. 23-43, short sections of two very long...Ch. 23 - ILW Two long, charged, thin-walled, concentric...Ch. 23 - GO A long, nonconducting, solid cylinder of radius...Ch. 23 - In Fig. 23-44, two large, thin metal plates are...Ch. 23 - In Fig. 23-45, a small circular hole of radius R =...Ch. 23 - GO Figure 23-46a shows three plastic sheets that...Ch. 23 - Figure 23-47 shows cross sections through two...Ch. 23 - SSM WWW A square metal plate of edge length 8.0 cm...Ch. 23 - GO In Fig. 23-48a, an electron is shot directly...Ch. 23 - SSM In Fig. 23-49, a small, nonconducting ball of...Ch. 23 - Figure 23-50 shows a very large nonconducting...Ch. 23 - GO An electron is shot directly toward the center...Ch. 23 - Two large metal plates of area 1.0 m2 face each...Ch. 23 - GO Figure 23-51 shows a cross section through a...Ch. 23 - Figure 23-52 gives the magnitude of the electric...Ch. 23 - Two charged concentric spherical shells have radii...Ch. 23 - Assume that a ball of charged particles has a...Ch. 23 - SSM An unknown charge sits on a conducting solid...Ch. 23 - GO A charged particle is held at the center of a...Ch. 23 - In Fig, 23-54, a solid sphere of radius a = 2.00...Ch. 23 - GO Figure 23-55 shows two nonconducting spherical...Ch. 23 - SSM WWW In Fig. 23-56, a nonconducting spherical...Ch. 23 - GO Figure 23-57 shows a spherical shell with...Ch. 23 - ILW The volume charge density of a solid...Ch. 23 - Figure 23-58 shows, in cross section, two solid...Ch. 23 - A charge distribution that is spherically...Ch. 23 - The electric field in a particular space is E = x ...Ch. 23 - A thin-walled metal spherical shell has radius...Ch. 23 - A uniform surface charge of density 8.0 nC/m2 is...Ch. 23 - Charge of uniform volume density = 1.2 nC/m3...Ch. 23 - The chocolate crumb mystery. Explosions ignited by...Ch. 23 - SSM A thin-walled metal spherical shell of radius...Ch. 23 - A particle of charge q = 1.0 107 C is at the...Ch. 23 - A proton at speed v = 3.00 105 m/s orbits at...Ch. 23 - Equation 23-11 E = /0 gives the electric field at...Ch. 23 - Charge Q is uniformly distributed in a sphere of...Ch. 23 - A charged particle causes an electric flux of 750...Ch. 23 - SSM The electric field at point P just outside the...Ch. 23 - The net electric flux through each face of a die...Ch. 23 - Figure 23-59 shows, in cross section, three...Ch. 23 - Charge of uniform volume density = 3.2 C/m3 fills...Ch. 23 - A Gaussian surface in the form of a hemisphere of...Ch. 23 - What net charge is enclosed by the Gaussian cube...Ch. 23 - A nonconducting solid sphere has a uniform volume...Ch. 23 - A uniform charge density of 500 nC/m3 is...Ch. 23 - Figure 23-61 shows a Geiger counter, a device used...Ch. 23 - Charge is distributed uniformly throughout the...Ch. 23 - SSM A spherical conducting shell has a charge of...Ch. 23 - A charge of 6.00 pC is spread uniformly throughout...Ch. 23 - Water in an irrigation ditch of width w = 3.22 m...Ch. 23 - Charge of uniform surface density 8.00 nC/m2 is...Ch. 23 - A spherical ball at charged particles has a...
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- 62 SSM In Fig. 21-44, what are the (a) magnitude and (b) direction of the net electrostatic force on particle 4 due to the other three particles? All four particles are fixed in the xy plane, and q, -3.20 x 10-19 C, q2 = +3.20 x 10-19 C, q3 = +6.40 x 10-19 C, q4 = +3.20 x 10-19 C, 6, = 35.0°, d, = 3.00 cm, and d, = d; = 2.00 cm. %3D %3D %3D de 14 d3arrow_forward38 In Fig. 23-48a, an electron is shot directly away from a uni- formly charged plastic sheet, at speed v, = 2.0 x 10° m/s. The sheet is nonconducting, flat, and very large. Figure 23-48b gives the electron's vertical velocity component v versus time t until the return to the launch point. What is the sheet's surface charge density? 12 -e t (ps) (a) (b) v (10 m/s)arrow_forwardTwo 1.20 m nonconducting rods meet at a right angle. One rod carries +2.50 mC of charge distributed uniformly along its length, and the other carries -2.50 mC distributed uniformly along it (Fig.). (a) Find the magnitude and direction of the electric field these rods produce at point P, which is 60.0 cm from each rod. (b) If an electron is released at P, what are the magnitude and direction of the net force that these rods exert on it?arrow_forward
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