Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
expand_more
expand_more
format_list_bulleted
Concept explainers
Videos
Textbook Question
Chapter 5.2, Problem 3eT
When
By what trigonometric function of
Rewrite the quantity described above as a product of just the vectors
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Consider a uniformly charged ring in the xy plane, centered at the origin. The ring has radius a and positive charge q distributed evenly along its circumference.
What is the direction of the electric field at any point on the z axis?
What is the magnitude of the electric field along the positive z axis?
Use k in your answer, where k=1/4πϵ0.
E
↑
Απεργια
This problem checks your understanding of the term in the equation for the electric field due to a point charge,
Consider a charged particle at a point S whose coordinates are (4 m, 2 m, 6 m). We would like to find the electric field vector at a point P whose coordinates are (7 m, 8 m, 1 m).
The "unit vector" is a vector that points from S to P that has length of 1 (or "unity"). What is its y component, in meters?
(Report your answer to one decimal place.)
Question 1
Four stationary electric charges produce an electric field in space. The electric field
depends on the magnitude of the test charge used to trace the field
O has different magnitudes but same direction everywhere in space
is constant everywhere in space
has different magnitude and different directions everywhere in space
CANAD
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...
Additional Science Textbook Solutions
Find more solutions based on key concepts
3. A boat with a horizontal tow rope pulls a water skier. She skis off to the side, so the rope makes an angle ...
College Physics (10th Edition)
Calculate the displacement and velocity at times of (a) 0.500, (b) 1.00, (c) 1.50, (d) 2.00, and (e) 2.50 s for...
College Physics
The distance covered on the return trip, as measured by the astronaut.
Physics (5th Edition)
A large metal sphere has three times the diameter of a smaller sphere and carries three times the charge. Both ...
Essential University Physics: Volume 2 (3rd Edition)
1. When is energy most evident?
Conceptual Physics (12th Edition)
Express the unit vectors in terms of (that is, derive Eq. 1.64). Check your answers several ways Also work o...
Introduction to Electrodynamics
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.Similar questions
- Determine the magnitude of the electric field E⃗ at the origin 0 in Figure 1 due to the two charges at A and B. Express your answer in terms of the variables Q, l, k, and appropriate constants. Determine the direction of the electric field E⃗ at the origin 0 in the figure due to the two charges at A and B. Repeat A, but let the charge at B be reversed in sign. Express your answer in terms of the variables Q, l, k, and appropriate constants. Repeat B, but let the charge at B be reversed in sign.arrow_forwardConsider a solid uniformly charged dielectric sphere where the charge density is give as ρ. The sphere has a radius R. Say that a hollow of charge has been created within the spherethat is offset from the center of the large sphere such that the small hollow has its center on the x axis where x = R/2. Using a standard frame where the large frame has its center at the origin, find the Electric field vector at the following points. a.The origin b.Anywhere inside the hollow (challenging) c.x = 0, y = R d.x = -R, y =0arrow_forwardConsider a right triangle ABC with the right triangle at vertex B. The charges at A, at B, and at C, are known to be 5 mC, 4 mC, and 7 mC, respectively. Given that the side AB is numerically equal to the last two digits of your student number, in meters, and AC is thrice AB, find the magnitudes of the force and of the electric field at A. When AB = 12arrow_forward
- 1 Q É Απεργια This problem checks your understanding of the term in the equation for the electric field due to a point charge, Consider a charged particle at a point S whose coordinates are (1 m, 6 m, 10 m). We would like to find the electric field vector at a point P whose coordinates are (4 m, 7 m, 4 m). The "unit vector" is a vector that points from S to P that has length of 1 (or "unity"). What is its y component, in meters? (Your answer must be accurate to within 10%.)arrow_forwardCharge is distributed throughout a spherical volume of radius R with a density p = ar², where a is a constant (of unit C/m³, in case it matters). Determine the electric field due to the charge at points both inside and outside the sphere, following the next few steps outlined. Hint a. Determine the total amount of charge in the sphere. Hint for finding total charge Qencl = (Answer in terms of given quantities, a, R, and physical constants ke and/or Eg. Use underscore ("_") for subscripts, and spell out Greek letters.) b. What is the electric field outside the sphere? E(r> R) = c. What is the electric field inside the sphere? Hint for E within sphere #3 Question Help: Message instructor E(r < R) = Submit Question E с $ 4 R G Search or type URL % 5 T ^ MacBook Pro 6 Y & 7 U * 8 9 0 0arrow_forwardAssume a uniformly charged ring of radius R and charge Q produces an electric field E at a point Pon its axis, at distance x away from the center of the ring as in Figure a. Now the same charge Q is spread uniformly over the circular area the ring encloses, forming a flat disk of charge with the same radius as in Figure a. How does the field Eick produced by the disk at P compare with the field produced by the ring at the same point? O O Ek Ering O impossible to determinearrow_forward
- a) Find the surface charge density σ2 of the cylindrical shell of radius R2. (Note the unit in the input box and the sign of charges.) Surface charge density σ2Give your answer up to at least three significance digits. b) Find an expression of electric field at rmm from the center where R1<r<R2. Assume the cylinder has a length L and L is very long so that electric field is uniform. Consider that the insulating material between the cylinders is air. (Hint : use Gauss's law and cylindrical Gaussian surface with radius r.) Magnitude of the electric field at r=0.76mm Give your answer up to at least three significance digits. c) Calculate absolute value of the potential difference between the wire and the cylinder. Absolute value of the potential difference Give your answer up to at least three significance digits. d) Calculate the capacitance C for this cylindrical system. Assume that the length of the cylinder is L=17cm. Capacitance C for this cylindrical system Give your…arrow_forwardFind E , the electric field inside the cube. Express the electric field in terms of v0 , B0 , and unit vectors ( i, j, and/or k).arrow_forwardUse the following constants if necessary. Coulomb constant, k = 8.987 x 10° N - m² /C². Vacuum permitivity, eo = 8.854 x 10-12 F/m. Magnitude of the Charge of one electron, e = -1.60217662 x 10-19 C. Mass of one electron, me = 9.10938356 x 10 31 kg. Unless specified otherwise, each symbol carries their usual meaning. For example, uC means micro coulomb. Suppose you have q = 20 µC charge placed at the orign of your coordinate system.arrow_forward
- For an electric dipole shown in the diagram the magnitude of charge q =78 μC. Find the value of the electric field at point P ( z>>d). Given that r(-) = 81 cm and r(+) = 66 cm. Note: Round off the answer to 2 decimal places.arrow_forwardA particular charge distribution is centered on the z-axis and extends from z=-∞ to z=+∞ . Its volume charge density is given by the function D p(r) = r(s+r? )3/2 where r is the radial distance from the z-axis and D and s are positive constants. Which of the following statements about this charge distribution are FALSE (select all that apply)? O It has a nonzero electric dipole moment It is cylindrically symmetric O The constant D and a dipole moment are expressed in the same units It is possible to use Gauss's law to calculate the electric field generated by this charge distributionarrow_forwardla Given A = 17 [80°] and B = 13 [159°], the cross product B x A is Round your answer to the nearest tenth and make sure to include the sign if your answer is in the negative z-direction. Your Answer: Answer b Several point charges are located within a closed Gaussian surface, S, and several point charges are located just outside of the Gaussian surface. The magnitude of each charge is equal q and the number of positive and negatives charges in each of the respective regions are shown below. What is the electric flux, E = f. Ē · dã, given by Gauss' law through the closed surface S? Not uniform along S as the charge is not uniform A line of charge with linear charge density i = 29 nC/m is enclosed in a Gaussian cylinder with height h = 18.2 mm and radius r = 4.3 mm as shown below. What is the magnitude of the total electric flux passing through the cylinder in Nm2/C? Round your answer to the nearest whole number. Your Answer:arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
Physics for Scientists and Engineers: Foundations...PhysicsISBN:9781133939146Author:Katz, Debora M.Publisher:Cengage Learning
Physics for Scientists and Engineers: Foundations...
Physics
ISBN:9781133939146
Author:Katz, Debora M.
Publisher:Cengage Learning
Electric Fields: Crash Course Physics #26; Author: CrashCourse;https://www.youtube.com/watch?v=mdulzEfQXDE;License: Standard YouTube License, CC-BY