Tutorials In Introductory Physics: Homework
1st Edition
ISBN: 9780130662453
Author: Lillian C. McDermott, Peter S. Shaffer
Publisher: PEARSON
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Textbook Question
Chapter 5.3, Problem 2aT
Are your answer to part A-C of section I consistent with gauss’ law? Explain.
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A 2D annulus (thick ring) has an inner radius Ri and outer radius Ro, and charge Q non-uniformlydistributed over its surface. The 2D charge density varies with radius r by η(r)=Cr 4 for Ri ≤ r ≤ Roand η=0 for all other r. C is a constant. Answer the following in terms of the variables given above. Note: Gauss' Law will not be useful here.a) Find an expression for C such that the total charge of the annulus is Q. Include the SI units for C next to your answer.Do the units make sense?b) Draw a clear picture and use it to set up the integral to calculate the E-field at a point on the axis of the annulus (this axis is perpendicular to the plane of the annulus) a distance z from the center of the annulus. *** You must complete all the steps short of computing the integral (i.e. your eventual answer must be an integral with only ONE variable of integration and all other variables constant.) Show that your answer has the correct SI units for the electric field.
Chapter 5 Solutions
Tutorials In Introductory Physics: Homework
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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