Tutorials in Introductory Physics
Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 19.2, Problem 2cTH

Consider the surface element A itself as composed of many even smaller pieces. Would the number of field lines through each of those new small surface elements vary much from one to another? Explain.

Describe how the field lines for the positive point charge appear to be distributed when the region over which you look becomes sufficiently small.

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A thin rod lies on the z-axis with one end at - A and the other end at A, as shown in the diagram. A charge of Q is spread uniformly over the surface of the rod. We want to set up an integral to find the electric field at location due to the rod. Following the procedure discussed in the textbook, we have cut up the rod into small segments, each of which can be considered as a point charge. We have selected a typical piece, shown in red on the diagram. * Your answer is incorrect. For a disk of radius R = 22 cm and Q = 4x 106 C, calculate the electric field 2 cm from the center of the disk using all three formulas below, and using the accurate value 0 = 8.85 x 10-12 C²/(N-m²). (a) most accurate approximation: E = 135169007.8 (b) less accurate approximation: E = 135113519.5 N/C 148624871.4 N/C (c) least accurate approximation: E = QIA 200 QIA 200 [1- QIA 20 - 1/2 (R² +2²) ¹¹/² Ē

Chapter 19 Solutions

Tutorials in Introductory Physics

Ch. 19.1 - A thin semicircular rod like the one in problem 4...Ch. 19.1 - Sketch the charge distribution on the rod.Ch. 19.1 - Is there a non-zero net electric force on the rod?...Ch. 19.1 - Is there a non-zero net electric force on the...Ch. 19.1 - State whether the magnitude of the net electric...Ch. 19.2 - Prob. 1aTHCh. 19.2 - Consider an imaginary surface in a uniform...Ch. 19.2 - Write an expression for the net electric flux net...Ch. 19.2 - Prob. 2aTHCh. 19.2 - Prob. 2bTHCh. 19.2 - Consider the surface element A itself as composed...Ch. 19.2 - Consider the left side of the box as Consisting of...Ch. 19.2 - The loop is held to the right of a positive point...Ch. 19.2 - Prob. 3bTHCh. 19.2 - Suppose that the new charge located to the right...Ch. 19.3 - Prob. 1aTHCh. 19.3 - Prob. 1bTHCh. 19.3 - Suppose that the curved portion of the Gaussian...Ch. 19.3 - A Second point charge +q is placed to the right of...Ch. 19.3 - Sketch a vector at each of points AD to represent...Ch. 19.3 - Sketch a vector at each of points AD to represent...Ch. 19.3 - Sketch a vector at each of points AD to represent...Ch. 19.3 - Sketch the net electric field at each of points...Ch. 19.3 - Calculate the magnitude of the electric field at...Ch. 19.4 - A small test charge qo travels from point X to...Ch. 19.4 - Prob. 1bTHCh. 19.4 - Points B and C are a distance ro away from the...Ch. 19.4 - A large metal sphere with zero net charge is now...Ch. 19.4 - Draw arrows on the diagram to indicate the...Ch. 19.4 - A positively charged test particle moves from...Ch. 19.4 - A positively charged test particle moves from A to...Ch. 19.4 - Find the magnitude and direction of the electric...Ch. 19.4 - A particle of mass mo and charge qo is released...Ch. 19.5 - The Surface area of the face of each plate is AI ....Ch. 19.5 - A new capacitor is formed by attaching two...Ch. 19.5 - Find the charge density on the plates. Explain.Ch. 19.5 - Find the electric potential difference between the...Ch. 19.5 - Show that the capacitance of the enlarged plates...
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