Essential University Physics (3rd Edition)
3rd Edition
ISBN: 9780134202709
Author: Richard Wolfson
Publisher: PEARSON
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Textbook Question
Chapter 21, Problem 45P
An electric field is given by
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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 plane
A disk of radius 196 mm is oriented with its normal unit vector n̂ at 60º to a uniform electric field of magnitude 5.87 x 103 N/C. (a)What is the electric flux through the disk? (b) What is the flux through the disk if n̂ is parallel to
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a
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a. When Point P is very close to the surface of the cylinder (1>r>a), the electric field there can be derived by treating the cylinder as an
= Eŝ.
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cos o â + sin ø ŷ,
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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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- Let, the electric flux density, D = 4xy a, + 2(x² + z²) a, + 4yz a, C/m². Find the total flux passed through the plane x = 2, 0 < y < 3, 0 < z < 5 m.arrow_forwardIf the electric flux density is given by C D = x²a, + y²z a, determine the volume charge density at the point P(1,2,3).arrow_forwardA square surface of side length L and parallel to the y-z plane is situated in an electric field given by E(x, y, z) = E[i+ a(yj + zk)/V(y + z) ]. The square's sides are parallel to the y- and z-axes and it is centered on the x-axis at position Py. Its normal vector points in the positive x-direction. a is a unitless constant. Refer to the figure. The x-axis points out of the screen. Pr Part (a) Integrate to find an expression for the total electric flux through the square surface in terms of defined quantities and enter the expression. Part (b) For L = 8.2 m, E, = 309.9 V/m, and a = 9.9, find the value of the flux, in units of volt•meter.arrow_forward
- An electric field Ē = ax²î exists in a region. Total electric flux through a sphere of radius R centered at origin is 3 (a) TaR 2παR, παR 5 (d) 5arrow_forwardIn a region of free space, there is an electric field, given in cylindrical coordinates. E=p²senop+zcoso+pzk Find the total field flux out through the hollow cylinder defined by 2 m < p ≤3 m, 0≤z ≤5 m.arrow_forwardA charged sphere has a charge density of T= ar? where a = 2µCm 3 and the radial distance r is measured from the center of the sphere. The radius of the sphere is given as b = 2cm. Considering a Gaussian sphere (GS) of radius R with the same center as that of the charged sphere; For R b: (c) What is the net flux through the GS? (d) Draw a graph showing the magnitude E of the electric field as a function of the distance r from the center of the sphere.arrow_forward
- A constant electric field E = 100 N is present throughout a region of space that includes the plane bounded by the x and y axes and the lines x = 30 cm and y = 50 cm. The electric flux through the plane's surface, in N m /C, isarrow_forwardWhat would be the electric field for z0 << R and z0 >> R for the following integral? The integral is the answer to the following question: "A uniformly charged disk with charge Q and radius R sits in the xy-plane with its center at theorigin. Take z0 to be some point on the positive z-axis. What is the electric field at z0? Leave your answer in the form of a well-defined definite integral."arrow_forwardA disk of radius 132 mm is oriented with its normal unit vector at 30º to a uniform electric field of magnitude 2.23 x 103N/C. (a) What is the electric flux through the disk? (b) What is the flux through the disk if n is parallel to E?arrow_forward
- Consider 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_forwardConsider a uniform electric field of E = ⟨E cos θ, E sin θ, 0⟩ and a flat disk of radius R. a) What is the electric flux through the disk if it sits in the xy-plane? b) What is the electric flux through the disk if it sits in the xz-plane?arrow_forwardA thin, circular plate of radius B, uniform surface charge density o, and total charge Q, is centered on the origin and lies in the x-y plane. What is the electric flux ¢e through a sphere of radius r, also centered on the origin, as a function of r? Consider both (a.) r> B and (b.) r B? Let Q = 17.7 pC = 17.7 x 1012 C andB = 7.00 cm. (Enter the answer numerically in the first box and symbolically in the second. Use the given symbols as necessary: Q, B, r and E for ɛ..) E, = 8.854 x 10-12 c2/(Nm?) Nm2 2.00 E (b.) What is the electric flux through a sphere of radius r when r< B? To calculate this answer, which will be a function of r, begin by answering the following questions symbolically. Use the given symbols as necessary: Q, B, r and E for ɛ,. physP: Question to consider: Operati (i) What is the surface charge density, o? Symbol Relation Sets (ii) What is the charge enclosed, gin, by the sphere of radius r (when r< B), as a function of ? (Note that 2 is already included as part of…arrow_forward
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