Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 21.2, Problem 21.2GI
The figure shows a cube of side s in a uniform electric field
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A flat sheet of paper is cut into an equilateral hexagon that is oriented so that the normal to the sheet is at an angle of 60 degrees to a uniform electric field of magnitude 14 MN/C. If the length of the line formed by joining the first and the fourth vertex is 200 mm, find the magnitude of the electric flux through the sheet.
Consider two imaginary spherical surfaces surrounding a point charge +Q. One is a sphere of radius 10 cm and the other is a sphere of radius 20 cm. Which statement about the net flux through these surfaces is correct?
correct?
The net flux through the larger sphere is the same as the net flux through the smaller sphere.
The net flux through the larger sphere is half the net flux through the smaller sphere.
The net flux through the larger sphere is four times the net flux through the smaller sphere.
The net flux through the larger sphere is one fourth the net flux through the smaller sphere.
The net flux through the larger sphere is twice the net flux through the smaller sphere.
A solid conducting sphere, which has a charge Q1 =52Q and radius ra = 2.6R is placed inside a very thinspherical shell of radius rb = 6.9R and charge Q2 =-17Q as shown in the figure below.
Find the magnitude of the electric field at r=4.4. Express your answer using one decimal point in units of kQ/R2 where k=1/4πε0
Chapter 21 Solutions
Essential University Physics (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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- If more electric field lines leave a gaussian surface than enter it, what can you conclude about the net charge enclosed by that surface?arrow_forwardA particle with charge q is located inside a cubical gaussian surface. No other charges are nearby , (I0 If the particle is at the center of the cube, what is the flux through each one of the faces of the cube? (a) 0 (b) q/ 2 ε0 (c) q/ 6ε0 (d) q/ 8ε0 (e) depends on the size of the cube (II) If the particle can be moved to any point within the cube , what maximum value can the flux through one face approach? Choose from the same possibilities as in part (i).arrow_forwardA uniform charge of 16.0 mC is on a thin circular ring lying in an xy plane and centered on the origin.The ring’s radius is 3.00 cm. If point A is at the origin and point B is on the z axis at z = 4.00 cm, what is VB - VA?arrow_forward
- What is the electric field at any point outside the shell of radius R where a positive charge Q is placed on it? (Take r to be the radius of the Gaussian sphere)arrow_forwardA solid cylindrical conductor of radius a is surrounded by a concentric cylindrical shell of inner radius b. The solid cylinder and the shell carry charges +Q and –Q, respectively. Assuming that the length L of both conductors is much greater than a or b, determine the electric field as a function of r, the distance from the common central axis of the cylinders, for (a) r < a; (b) a < r < b; and (c) r > b.arrow_forwardA solid conducting cylinder of radius R1 = 1.0 cm is surrounded by a thin conducting shell of radius R2 = 3.0 cm. Both cylinders have length L = 20.0 cm, and there is empty space between R1 and R2. If the inner cylinder has charge q = +3.0μC and the outer shell has charge -3.0μC, find the followingarrow_forward
- A uniform electric field E = 4.0 × 103k N/C is present, Find the flux through the following areas: a) a circle of radius 2 cm in the x-y plane. b) a square of side length 10 cm at an angle 30◦ to the x-y plane.arrow_forwardA certain region of space bounded by an imaginary closed surface contains no charge. Is the electric field always zero everywhere on the surface? If not, under what circumstances is it zero on the surface?arrow_forwardA uniform charge density of 500 nC/m3 is distributed throughout a spherical volume of radius 6.00 cm. Consider a cubical Gaussian surface with its center at the center of the sphere.What is the electric flux through this cubical surface if its edge length is (a) 4.00 cm and (b) 14.0 cm?arrow_forward
- ? Consider a triangle in the presence of uniform electric field given by 8.8 i N/C. the endpoint of the triangle are (0m,0m,0m) , (4m, 0m , 2m) and (2m, 5m, 0m). determine the electric flux through the triangle. A long cylindrical rod with length 10m and radius 3.3 cm is uniformly charged with total charge 9.3 micro.C. Then a hole is carved out of the center of the rod in the shape of a sphere of radius 1.9cm. what is the electric field at a distance 6.4 away perpendicular from the center of the object. ? Hint: What would you “ add” to a solid object to model a hole?arrow_forwardA flat sheet of paper is cut into an equilateral hexagon that is oriented so that the normal to the sheet is at angle of 60° to a uniform electric field of magnitude 14 MN/C. If the length of the line formed by joining the first and fourth vertex is 200mm, find the magnitude of the electric field through the sheet.arrow_forwardConsider three charges X, Y and Z, with the same charge magnitude Q. A closed surface S encloses the three charges, and the net flux through S is inward. If Z is positively charged, which of the following is correct? A. X = Y = +Q B. X = +Q; Y = -Q C. X = -Q; Y = +Q D. X = Y = -Qarrow_forward
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