Tutorials in Introductory Physics
1st Edition
ISBN: 9780130970695
Author: Peter S. Shaffer, Lillian C. McDermott
Publisher: Addison Wesley
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Chapter 19.4, Problem 1aTH
A small test charge
i. Draw an arrow on the diagram at each point (X and Y) to show the direction of the electric force on the test charge at that point. Explain why you drew the arrows as you did.
ii. Is the work done on the charge by the electric field positive, negative, or zero? Explain.
iii. Is the electric potential difference
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Please provide an adequate explanation.1. Are electric field vectors always perpendicular to equipotential lines? Why or why not?2. If we introduced a negative test charge into our disc-rod system, where do we expect the charge to go? Why?3. Suppose that we configured the system such that the rod has the higher potential than the disc:a. Which region(s) will have the strongest and weakest electric fields? Why?b. What will be the general direction of the electric field?
Two concentric spherical surfaces A and B are equipotential surfaces for a positive charge +q placed at the centre. First we place another positive charge +Q between A and B, as shown in Figure 1.
a) In which direction will the new charge (+Q) move (radially outwards or inwards)? Justify your answer.
b) How will the electrostatic potential energy of +Q change? Justify your answer.
c) Next, consider that the +Q is instead placed at point B. What would the work then be done to move it from point B to point C? Justify your answer.
Four-point charges all with the same magnitude of charge (?0) are fixed in place. A point in space, labeled P, is a distance 2d from two of the charges and 3d from the others, as shown in the image below
a) is the electric potential at point P positive, negative, or zero? Explain your reasoning qualitatively b) You place a negative charge −? at point P. When you do, does the total energy increase, decrease, or remain the same? If it does change, determine an expression for how much the energy changes. Show your work and explain your reasoning
Chapter 19 Solutions
Tutorials in Introductory Physics
Ch. 19.1 - Draw a separate free-body diagram for each ball....Ch. 19.1 - Suppose the charge on the second ball is reduced...Ch. 19.1 - Predict what will happen if the net charge on ball...Ch. 19.1 - How does Coulomb’s law apply to situations in...Ch. 19.1 - In cases A and B shown at right there are two...Ch. 19.1 - In case C, two positive point charges +2Q are each...Ch. 19.1 - In case E a positive point charge with +Q is a...Ch. 19.1 - Is the magnitude of FPgreater than, less than, or...Ch. 19.1 - Is the magnitude of the net force on +qgreater...Ch. 19.1 - A second negative point charge Q is placed as...
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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- and 1 more is Part D What is the potential difference between the surface of the sphere (at RR) and the center of the sphere (r=0r=0)? Give your answer in terms of the variables QQQ, rrr and RRR. Combine all numerical values into one numerical multiplier.arrow_forwardA proton has an initial speed of 5.0×105 m/s. Please give a correct/clear explanation of all constants or values used to solve each part: a> What potential difference is required to bring the proton to rest? Express your answer using two significant figures. b>What potential difference is required to reduce the initial speed of the proton by a factor of 2? Express your answer using two significant figures. c>What potential difference is required to reduce the initial kinetic energy of the proton by a factor of 2? Express your answer using two significant figures.arrow_forwardPart B through F Please. I have no idea where to start. metal sphere with radius ra is supported on an insulating stand at the center of a hollow, metal, spherical shell with radius rb. There is charge +q on the inner sphere and charge −q on the outer spherical shell. Take V to be zero when is infinite. Part B Calculate the potential V(r) for ra<r<rb.Express your answer in terms of the given quantities and appropriate constants. Part C Calculate the potential V(r)for r>rb.Express your answer in terms of the given quantities and appropriate constants. Part D Find the potential of the inner sphere with respect to the outer.Express your answer in terms of the given quantities and appropriate constants Part E Use the equation Er=−∂V/∂r and the result from part (b) to find the electric field at any point between the spheres (ra<r<rb).Express your answer in terms of the given quantities and appropriate constants. Part F Use the equation Er=−∂V/∂r and the result from part (c)…arrow_forward
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