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 5.3, Problem 1aT
In the following Questions, a Gaussian cylinder with radius a andl is placed in various electric fields. The end caps are labeled A and C and the side surfaces is labeled B. In each case, base your answer about the net flux only on qualitative arguments about the magnitude of the flux through the end caps and side surfaces.
A. The Gaussian cylinder is in uniform electric field of magnitude
• Find the sign and magnitude of the flus through:
Surface A: Surface B: Surface C:
• Is the net flux through the Gaussian surface positive, negative, or zero?
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Students have asked these similar questions
A. Four closed surfaces, S₁ through S 4, together with the charges - 2Q, Q
, and -Q are sketched in the Figure below. (The colored lines are the
intersections of the surfaces with the page.) Find the electric flux
through each surface.
S₁
-20
SA
B
•+Q
-2.
S₂
Sz
A. The Gaussian cylinder is in a uniform electric field of magnitude E, aligned with the
cylinder axis.
• Find the sign and magnitude of the flux through:
Surface A:
Surface B:
Surface C:
• Is the net flux through the Gaussian surface positive, negative, or zero?
A solid ball of radius rp has a uniform charge density p.
Part A
What is the magnitude of the electric field E (r) at a distance r> r, from the center of the ball?
Express your answer in terms of p, rb, r, and €g.
• View Available Hint(s)
?
E (r) =
Part B
What is the magnitude of the electric field E (r) at a distance r< rh from the center of the ball?
Express your answer in terms of p, r, Tb, and €o.
• View Available Hint(s)
Hνα ΑΣφ
E (r) =
國
Chapter 5 Solutions
Tutorials in Introductory Physics
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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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