Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Question
Chapter 19.2, Problem 2bTH
(1)
To determine
Whether, the number of field lines is equal, greater than or less than for the reduced area of element A as compared to the area element B on the side of the box.
(2)
To determine
Whether, the flux is equal, greater or lesser for the reduced area of element A than the area element area B on the side of the box.
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Part A through part D, please
Charge is distibuted uniformly over each of two spherical volumes with radius R. One sphere of charge is centered at the origin and the other at x=2R (Figure 1). Let left-hand sphere have positive charge Q and let the right-hand sphere have negative charge -Q .
Part A Find the magnitude of the net electric field due to these two distributions of charge at the point x=0 on the x-axis. Express your answer in terms of the variables Q , R , and appropriate constants.
Part B Find the magnitude of the net electric field at the point x=R/2 on the x-axis. Express your answer in terms of the variables Q , R , and appropriate constants.
Part C Find the magnitude of the net electric field at the point x=R on the x-axis. Express your answer in terms of the variables Q, R , and appropriate constants.
Part D Find the magnitude of the net electric field at the point x=3Ron the x-axis. Express your answer in terms of the variables Q, R, and appropriate constants.
You have a very (infinitely) long solid conducting cylinder with length L, base radius R, and total charge +Q.
(a) Use Gauss’s law to find the electric field vector inside and outside the cylinder. Explain your reasoning. You can give a verbal description of the electric field vector direction.
(b) Similar to how we found the electric field outside a conducting sphere to look like that of a point particle, what does the electric field outside the cylinder look like?
(c) Would the electric field inside the cylinder stay the same if the cylinder was instead insulating and uniformly charged? Explain why or why not?
A very large thin plane has uniform surface charge density σσ. Touching it on the right (see the figure) is a long wide slab of thickness dd with uniform volume charge density ρEρE.(Figure 1)
Determine the electric field to the left of the plane. Assume EE is positive if the field is directed to the right and negative if the field is directed to the left.
Express your answer in terms of some or all of the variables σσ, ρEρE, dd, and appropriate constants.
Chapter 19 Solutions
Tutorials in Introductory Physics
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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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