Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Textbook Question
Chapter 5.2, Problem 3cT
For a given surface, the electric flux,
C. Sketch vector
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A uniform electric field with a magnitude of 1.25x105 N/C passes through a rectangle with sides of 2.50 m and 5.0 m . If the electric flux through the rectangle is 6.6x105 Nm2/C , find the angle between the electric field vector and the vector normal to the rectangular surface ?
Consider two thin disks, of negligible thickness, of radius R oriented perpendicular to the x axis such that the x axis runs through the center of each disk. The disk centered at x=0 has positive charge density η, and the disk centered at x=a has negative charge density −η, where the charge density is charge per unit area.
What is the magnitude E of the electric field at the point on the x axis with x coordinate a/2?
Express your answer in terms of η, R, a, and the permittivity of free space ϵ0.
This equation is of the electric charge of a uniform disk which is charged at point z which is perpendicular to the center of the disk. (z=0 is part of the plane of the disk).
R= radius of disk, Q= total charge of disk, k= coulomb's constant.
If k=1 units, Q=1 units, R=8 units, what is Edisk, z when z=6 units?
Chapter 5 Solutions
Tutorials in Introductory Physics
Ch. 5.1 - Press a piece of sticky tape, about 15-20 cm in...Ch. 5.1 - B. Make another piece of tape a described above....Ch. 5.1 - Each member of your group should press a tape onto...Ch. 5.1 - Obtain an acrylic rod and a piece of wool or fur....Ch. 5.1 - Base your answers to the following questions on...Ch. 5.1 - Two positive point charges +q and +Q (with Qq )...Ch. 5.1 - Two more +Q charges are held in place the same...Ch. 5.1 - Rank the four cases below according to the...Ch. 5.1 - Charge an acrylic rod by rubbing it with wool....Ch. 5.1 - Hold the charges rod horizontally. Use a charges...
Ch. 5.1 - Imagine that two charged rods are held together as...Ch. 5.1 - Five short segments (labeled 1-5) of acrylic rod...Ch. 5.1 - In case A at right, a point Charge +q is a...Ch. 5.1 - A small ball with zero net charge is positively...Ch. 5.1 - Hang an uncharged metal or metal-covered ball from...Ch. 5.1 - The situation in part A suggests a way to think...Ch. 5.2 - Hold a small piece of paper (e.g., an index card)...Ch. 5.2 - The area of a flat surface can be represented by a...Ch. 5.2 - Place a large piece of graph paper flat on the...Ch. 5.2 - Fold the graph paper twice so that it forms a...Ch. 5.2 - Form the graph paper into a tube as shown. Can the...Ch. 5.2 - What must be true about a surface or a portion of...Ch. 5.2 - In the tutorial Charge, you explored the region...Ch. 5.2 - Suppose that the charge, qtest , on the pith ball...Ch. 5.2 - The quantity F/qtest evaluated at any point is...Ch. 5.2 - Sketch vectors at each of the marked points to...Ch. 5.2 - The diagram at right shows a two-dimensional top...Ch. 5.2 - Compare the magnitude of the electric field at...Ch. 5.2 - Obtain a wire loop. The Loop represents the...Ch. 5.2 - For a given surface, the electric flux, E , is...Ch. 5.2 - You will now examine the relationship between the...Ch. 5.2 - When EandA were parallel, we called the quantity...Ch. 5.3 - In the following Questions, a Gaussian cylinder...Ch. 5.3 - In the following Questions, a Gaussian cylinder...Ch. 5.3 - In the following Questions, a Gaussian cylinder...Ch. 5.3 - In the following Questions, a Gaussian cylinder...Ch. 5.3 - Are your answer to part A-C of section I...Ch. 5.3 - In part D of section I, you tried to determine the...Ch. 5.3 - Find the net flux through each of the Gaussian...Ch. 5.3 - The three spherical Gaussian surfaces at right...Ch. 5.3 - A large sheet has charge density +o . A...Ch. 5.3 - The Gaussian cylinder below encloses a portion of...Ch. 5.4 - Suppose an object moves under the influence of a...Ch. 5.4 - An object travels from point A to point B while...Ch. 5.4 - An object travels from point A to point B while...Ch. 5.4 - State the work-energy theorem in your own words....Ch. 5.4 - Draw electric field vectors at point W, X, Y, and...Ch. 5.4 - A particle with charge +qo , travels along a...Ch. 5.4 - The particle travels from point X to point Z along...Ch. 5.4 - Suppose the particle travels from point W to point...Ch. 5.4 - Compare the work done as the particle travels from...Ch. 5.4 - Suppose the charge of the particle in section II...Ch. 5.4 - Shown at right are four Points near a positively...Ch. 5.5 - A small portion near the center of a large thin...Ch. 5.5 - Use the principle of superposition to determine...Ch. 5.5 - Use the principle of superposition to determine...Ch. 5.5 - Consider instead a portion near the center of a...Ch. 5.5 - A second plate with the same magnitude charge as...Ch. 5.5 - The inner surface of one plate has a uniform...Ch. 5.5 - B. Suppose the plates are discharged, then held a...Ch. 5.5 - Compare the ratio QV that you calculated for two...Ch. 5.5 - For the following cases, state whether each of the...
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- The nonuniform charge density of a solid insulating sphere of radius R is given by = cr2 (r R), where c is a positive constant and r is the radial distance from the center of the sphere. For a spherical shell of radius r and thickness dr, the volume element dV = 4r2dr. a. What is the magnitude of the electric field outside the sphere (r R)? b. What is the magnitude of the electric field inside the sphere (r R)?arrow_forwardA dosed surface with dimensions a = b= 0.400 111 and c = 0.600 in is located as shown in Figure 124.63. The left edge of the closed surface is located at position x = a. The electric field throughout the region is non- uniform and is given by E = (3.00 + 2.00x2)i N/C, where x is in meters. (a) Calculate the net electric flux leaving the closed surface. (b) What net charge enclosed by the surface?arrow_forwardA square surface of area 9 cm2 is in a space of uniform electric field of magnitude 104 N/C . The amount of flux through it depends on how the square is oriented relative to the direction of the electric field. Find the electric flux (in N · m2/C) through the square, when the normal to it makes the following angles with the electric field. Note that these angles can also be given as 180° + θ. a. 36degrees b. 90 degrees c. 0 degreesarrow_forward
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