Essential University Physics Plus Mastering Physics with eText -- Access Card Package (3rd Edition)
3rd Edition
ISBN: 9780321975973
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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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
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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.
calculate the flux of the vector field through the given surface.
~F= (x2−2)~i through a square of side length 3 in the yz-plane, oriented in the negative x-direction.
Chapter 21 Solutions
Essential University Physics Plus Mastering Physics with eText -- Access Card Package (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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- Consider 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_forwardConsider the uniform electric field →E=(4300 j+ 2800 k) NC. What is its electric flux through a circular area of radius 2.4 m that lies in the xy-plane?arrow_forwardA 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.arrow_forward
- Consider a plane surface in a uniform electric field as in the Figure , where cm and . If the net flux through the surface is 6.00 Nm2/C, find the magnitude of the electric field.arrow_forwardFind the flux through the top, left, and right sides of a cube of side 0.5 m when placed in a horizontal uniform electric field of 8.0 N/C directed to the rightarrow_forwardFind the electric field at a distance h from the center of a ring of radius R, whose linear charge density is homogeneous and equal to λarrow_forward
- Find the flux through the top, left, and rights sides of a cube of side 0. 3 m when placed in a horizontal uniform electric field of 8.0 N/C directed to the right.arrow_forwardConsider a uniform electric field E = 3 × 103 î N/C. (a) What is the flux of this field through a square of 10 cm on a side whose plane is parallel to the yz plane? (b) What is the flux through the same square if the normal to its plane makes a 60° angle with the x-axis?arrow_forwardA flat surface of area 6.5 cm2 in the x -y plane sits in a uniform electric field E ⃗=2i ̂+3j ̂+5k ̂ . Find the electric flux (in N.m2/C) through the square?arrow_forward
- Calculate the absolute value of the electric flux for the following situations (In all case provide your answer in N m2/C): c. A uniform electric field E = (−350 i + 350 j + 350 k) N/C through a disk of radius 3 cm in the x-z plane.arrow_forwardFind the electric field of a distance z above the midpoint of a straight line segment of length 2 L, which carries a uniform line charge A.arrow_forwardA surface that has an area of 0.20 m2 lies on a plane whose normal is perpendicular to the plane defined by the points (2, 1, 0), (0, 1, –1), and (1, 0, 2). The surface intersects with an electric field given by 4.5x105 (3i+12j-3k) N/C. The electric flux through the surface isarrow_forward
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