Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 21, Problem 15FTD
Why must the electric field be zero inside a conductor in electro-static equilibrium?
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A metal sphere of radius R=2.0 cm is suspended from the ceiling by an insulating rope. A point sphere with q=-3.OnC charge is fixed to the ground 3.0m below the center of the sphere. What could be the highest tensile force that can occur in the rope when the metal sphere begins to be charged with an electrical charge? (The electric field to ionize the air is 5x104 V/m.)
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Electric charge can accumulate on an airplane in flight. You may have observed needle-shaped metal extensions on the wing tips and tail of an airplane. Their purpose is to allow charge
to leak off before much of it accumulates. The electric field around the needle is much larger than the field around the body of the airplane and can become large enough to produce
dielectric breakdown of the air, discharging the airplane. To model this process, assume that two charged spherical conductors are connected by a long conducting wire and a charge of
70.0 μC is placed on the combination. One sphere, representing the body of the airplane, has a radius of 6.00 m, and the other, representing the tip of the needle, has a radius of
2.00 cm.
(a) What is the electric potential of each sphere?
r = 6.00 m:
V
V
r = 2.00 cm:
(b) What is the electric field at the surface of each sphere?
r = 6.00 m:
V/m
r = 2.00 cm:
magnitude
direction
magnitude
direction
---Select---
---Select---
V/m
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Chapter 21 Solutions
Essential University Physics: Volume 2 (3rd Edition)
Ch. 21.1 - Which figure represents the electric field of a...Ch. 21.2 - The figure shows a cube of side s in a uniform...Ch. 21.3 - A spherical surface surrounds an isolated positive...Ch. 21.4 - A spherical shell carries charge Q distributed...Ch. 21.5 - (1) If you're close to a finite line of charge...Ch. 21.6 - (1) If you're close to a finite line of charge...Ch. 21 - Can electric field lines ever cross? Why or why...Ch. 21 - The electric flux through a closed surface is...Ch. 21 - If the flux of the gravitational field through a...Ch. 21 - Under what conditions can the electric flux...
Ch. 21 - Right field lines emerge from a closed surface...Ch. 21 - If a charged particle were released from rest on a...Ch. 21 - In Gausss law, EdA=q0does the field E necessarily...Ch. 21 - In a certain region the electric field points to...Ch. 21 - A point charge is located a fixed distance outside...Ch. 21 - The field of an infinite charged line decreases as...Ch. 21 - Why cant you use Gausss law to determine the field...Ch. 21 - Youre sitting inside an uncharged, hollow...Ch. 21 - Does Gausss law apply to a spherical Gaussian...Ch. 21 - An insulating sphere carries charge spread...Ch. 21 - Why must the electric field be zero inside a...Ch. 21 - The electric field of a flat sheet of charge is...Ch. 21 - In Fig. 21.32, the magnitude of the middle charge...Ch. 21 - Charges +2q and q are near each other. Sketch some...Ch. 21 - The net charge shown in Fig. 21.33 is +Q. Identify...Ch. 21 - A flat surface with area 2.0 m2 is in a uniform...Ch. 21 - Whats the electric field strength in a region...Ch. 21 - A flat surface with area 0.14 m2 lies in the x-y...Ch. 21 - The electric field on the surface of a...Ch. 21 - In the figure with GOT IT? 21.2, take E = 1.75...Ch. 21 - In Fig. 21.8, take the half-cylinders radius and...Ch. 21 - A sock comes out of the dryer with a trillion...Ch. 21 - Whats the electric flux through the closed...Ch. 21 - Interpret This problem involves applying Gauss's...Ch. 21 - A 2.6-C charge is at the center of a cube 7.5 cm...Ch. 21 - The electric field at the surface of a...Ch. 21 - A solid sphere 25 cm in radius carries 14C,...Ch. 21 - A 15-nC point charge is at the center of a thin...Ch. 21 - The electric field strength outside a charge...Ch. 21 - An electron close to a large, Hat sheet of charge...Ch. 21 - Find the field produced by a uniformly charged...Ch. 21 - What surface charge density on an infinite sheet...Ch. 21 - A rod 50 cm long and 1.0 cm in radius carries a...Ch. 21 - Whats the approximate field strength 1 cm above a...Ch. 21 - The disk in Fig. 21.22 has area 0.14 m2 and is...Ch. 21 - What is the electric field strength just outside...Ch. 21 - A net charge of 5.0 C is applied on one side of a...Ch. 21 - A positive point charge q lies at the center of a...Ch. 21 - A total charge of 18 C is applied to a thin,...Ch. 21 - Whats the flux through the hemispherical open...Ch. 21 - An electric field is given byE=E0(y/a)k, where E0...Ch. 21 - The electric field in a certain region is given by...Ch. 21 - A study shows that mammalian red blood cells...Ch. 21 - Positive charge is spread uniformly over the...Ch. 21 - A solid sphere 2.0 cm in radius carries a uniform...Ch. 21 - A point charge of 2Q is at the center of a...Ch. 21 - A friend is working on a biology experiment and...Ch. 21 - A spherical shell of radius 15 cm carries 4.8 C...Ch. 21 - A spherical shell 30 cm in diameter carries 85 C...Ch. 21 - A thick, spherical shell of inner radius a and...Ch. 21 - A long, thin wire carrying 5.6 nC/m runs down the...Ch. 21 - An infinitely long rod of radius R carries a...Ch. 21 - A long, solid rod 4.5 cm in radius carries a...Ch. 21 - If you painted positive charge on the floor, what...Ch. 21 - A charged slab extends infinitely in two...Ch. 21 - A solid sphere 10 cm in radius carries a 40-C...Ch. 21 - A nonconducting square plate 75 cm on a side...Ch. 21 - A 250-nC point charge is placed at the center of...Ch. 21 - An irregular conductor containing an irregular,...Ch. 21 - You measure the electric field strength at points...Ch. 21 - A point charge q is at the center of a spherical...Ch. 21 - A point charge q is at the center of a spherical...Ch. 21 - The volume charge density inside a solid sphere of...Ch. 21 - Figure 21.37 shows a rectangular box with sides 2a...Ch. 21 - The charge density within a charged sphere of...Ch. 21 - Calculate the electric fields in Example 21.2...Ch. 21 - A solid sphere of radius R carries a nonuniform...Ch. 21 - Problem 76 of Chapter 13 explored what happened to...Ch. 21 - An infinitely long solid cylinder of radius R...Ch. 21 - A solid sphere of radius R carries a uniform...Ch. 21 - Repeal Problem 59 for the case where the charge...Ch. 21 - Coaxial cables are widely used with audio-visual...Ch. 21 - A coaxial cable carries equal but opposite charges...Ch. 21 - How does the electric field between the conductors...Ch. 21 - Coaxial cables are widely used with audio-visual...
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- Is it possible for a conducting sphere of radius 0.10 m to hold a charge of 4.0 C in air? The minimum field required to break down air and turn it into a conductor is 3.0 106 N/C.arrow_forwardA uniform electric field E = 3 000 V/m exists within a certain region. What volume of space contains an energy equal to 1.00 107 J? Express your answer in cubic meters and in liters.arrow_forwardIn Figure P19.17, determine the point (other than infinity) at which the electric field is zero.arrow_forward
- (a) Find the total Coulomb force on a charge of 2.00 nC located at x = 4.00 cm in Figure 18.52 (b): given that q = 1,00C . (b) Find the x-position at which the electric field is zero in Figure 18.52 (b).arrow_forwardGive a plausible argument as to why the electric field outside an infinite charged sheet is constant.arrow_forward(a) Find the electric field at the center of the triangular configuration of charges in Figure 18-54., given that qa=+ 2.50 nC, qb=-8.00 nC, and qc=+ 1.50 nC. (b) Is there any combination of charges, other than qa= qb=qc,that will produce a zero strength electric field at the center of the triangular configuration?arrow_forward
- Two solid spheres, both of radius 5 cm, carry identical total charges of 2 C. Sphere A is a good conductor. Sphere B is an insulator, and its charge is distributed uniformly throughout its volume. (i) How do the magnitudes of the electric fields they separately create at a radial distance of 6 cm compare? (a) EA EB = 0 (b) EA EB 0 (c) EA = EB 0 (d) 0 EA EB (e) 0 = EA EB (ii) How do the magnitudes of the electric fields they separately create at radius 4 cm compare? Choose from the same possibilities as in part (i).arrow_forwardTwo small spherical conductors are suspended from light-weight vertical insulating threads. The conductors are brought into contact (Fig. P23.50, left) and released. Afterward, the conductors and threads stand apart as shown at right. a. What can you say about the charge of each sphere? b. Use the data given in Figure P23.50 to find the tension in each thread. c. Find the magnitude of the charge on each sphere. Figure P23.50arrow_forwardElectric charge can accumulate on an airplane in flight. You may have observed needle-shaped metal extensions on the wing tips and tail of an airplane. Their purpose is to allow charge to leak off before much of it accumulates. The electric field around the needle is much larger than the field around the body of the airplane and can become large enough to produce dielectric breakdown of the air, discharging the airplane. To model this process, assume that two charged spherical conductors are connected by a long conducting wire and a charge of 62.0 µC is placed on the combination. One sphere, representing the body of the airplane, has a radius of 6.00 m, and the other, representing the tip of the needle, has a radius of 2.00 cm.arrow_forward
- When the electric field in air exceeds a value of EDB = 3*10^6V/m (the dielectric strength), dielectric breakdown occurs and the air becomes ionized. If the electric field at the surface of a conductor exceeds this value, the ionization of the air will remove charge from the conductor until the electric field no longer exceeds 3*10^6V/m. What is the maximum charge that can be held on a conducting sphere in air in terms of the sphere's radius R and the dielectric strength of air EDB? (in terms, no specific numbers)arrow_forward10. (a) Use E, to denote the x component of the electric field E. The graph below shows Ex as a function of x. Ex/NC-¹ Draw a graph of V vs. x. Let V = 0 V at x=0 m. (b) The graph below shows V as a function of x. Draw a graph of Ex vs. x. 1 -1 V/JC-1 1 -1 ·x/m >x/marrow_forwardA charge of 3 μC is uniformly distributed along a filament of length 60 cm. What is the electric field at a point 30 cm from one of the ends along the filament direction?arrow_forward
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