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 22E
A flat surface with area 0.14 m2 lies in the x-y plane, in a uniform electric field
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A flat surface with area 4.2 m² lies in the x-y plane, in a uniform electric field E = 3.1 +6.7 j +
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Calculate the magnitude of the flux of a constant electric field of 5.00 N/C in the z-direction through a rectangle with area 4.00 m2 in the xy-plane
Suppose the electric field of 5.00 N/C in the z-direction is tilted 60° away from the positive z-direction through a rectangle with area 4.00 m^2 in the xy-plane. Calculate the magnitude of the flux through the same area.
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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- what is the magnitude.of the electric flux of a constant E of 4 n/c in the z direction through a rectangle with surface area 4m^2 in the xy planearrow_forwardA nonuniform electric field is given by the expression E = (3.00x? i + 5.00y j) N/C and passes through a square surface of side length 2.00 m parallel to the xz-plane at y = 1.00 m. Using the area vector from the previous question, what is the electric flux through the surface? O Nm^2/C O 15.0 Nm^2/C O 20.0 Nm^2/C O 12.0 Nm^2/carrow_forwardA charge q = 2.00 µC is placed at the origin in a region where there is already a uniform electric field É = (100 N/C) i . Calculate the flux of the net electric field through a Gaussian sphere of radius R = 10.0 cm centered at the origin. (Eo = 8.85 x 10-12 C²/N • m2) O 2.26 x 105 N • m²/C zero O 5.52 x 105 N • m?/C O 1.13 x 105 N • m²/Carrow_forward
- Problem 6: A circular loop of radius R= 2 cm is centered at the origin where there is a constant electric field E = Egi + Eyj. For this problem, assume E,= 32 N/C and E, = 156 N/C. Part (a) What is the flux through the loop, in Nm2/C, when the loop is oriented so that its normal vector is in the x-direction? Part (b) What is the flux through the loop, in Nm2/C, when the loop is oriented so that its normal vector is in the negative y-direction? = Part (c) What is the flux through the loop, in Nm2/C, when the loop is oriented so that its normal vector is in the positive z-direction?arrow_forwardThe flux through a closed surface is o = (2.54x10^3) N.m2/C. Calculate the charge in Coulombs enclosed by the surface.arrow_forwardConsider the uniform electric field E → = (4.0 j ^ + 3.0k ^ ) × 103 N/C. What is its electric flux through a circular area of radius 2.0 m that lies in the xy-plane?arrow_forward
- Find the flux in N.m2.C-1 of a constant electric field E = (5.85x10^3) i + (2.712x10^3) j + (-7.4910x10^3) k N/C, passing through an area defined by the area vector A = (3.633x10^0) i + (1.5050x10^0) j + (-1.9920x10^0) k m2.arrow_forwardA 4.0 cm side square surface in the x-y plane sits in a uniform electric field E = (2.0 i + 3.0 j + 5.0 k) N/C. Find the electric flux through the square.arrow_forwardA Gaussian surface in the form of a hemisphere of radius R = 5.84 cm lies in a uniform electric field of magnitude E = 2.20 N/C. The surface encloses no net charge. At the (flat) base of the surface, the field is perpendicular to the surface and directed into the surface. (a) What is the flux through the base? ______________N · m2/C(b) What is the flux through the curved portion of the surface? _______________N · m2/Carrow_forward
- A perfect conducting plane is located in the xy plane and a point charge 1.1 nC is located in the z-axis at z = 7. Find the magnitude of the electric field at the origin. Express your answer in N/Carrow_forwardA cube has one corner at the origin and the opposite corner at the point (L,L,L). The sides of the cube are parallel to the coordinate planes. The electric field in and around the cube is given by E⃗=(a+bx)i^+cj^. Find the total electric flux ΦE through the surface of the cube. Express your answer in terms of a b c L What is the net charge qq inside the cube? Express your answer in terms of a b c L ϵ0arrow_forwardConsider a spherical Gaussian surface of radius R centered at the origin. A charge Q is placed inside the sphere. Where should the charge be located to maximize the magnitude of the flux of the electric field through the Gaussian surface? A at x = 0, y = R/2, z = 0 B The flux does not depend on the position of the charge as long as it is inside the sphere C) at x = R/2, y = 0, z = 0 D) at x = 0, y = 0, z = R/2arrow_forward
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