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Chapter 18: Q6CQ (page 661)
Why does a car always attract dust right after it is polished? (Note that car wax and car tires are insulators.)
Static electricity is responsible for the attraction of dust particles toward the car.
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Consider two insulating balls with evenly distributed equal and opposite charges on their surfaces, held with a certain distance between the centers of the balls. Construct a problem in which you calculate the electric field (magnitude and direction) due to the balls at various points along a line running through the centers of the balls and extending to infinity on either side. Choose interesting points and comment on the meaning of the field at those points. For example, at what points might the field be just that due to one ball and where does the field become negligibly small? Among the things to be considered are the magnitudes of the charges and the distance between the centers of the balls. Your instructor may wish for you to consider the electric field off axis or for a more complex array of charges, such as those in a water molecule.
Calculate the angular velocity \(\omega \) of an electron orbiting a proton in the hydrogen atom, given the radius of the orbit is \(0.530 \times {10^{ - 10}}{\rm{ m}}\). You may assume that the proton is stationary and the centripetal force is supplied by Coulomb attraction.
What is the force on the charge located at \(x = 8.00{\rm{ }}cm\) in Figure 18.52(a) given that \(q = 1.00{\rm{ }}\mu C\)?
Figure 18.52 (a) Point charges located at \[{\bf{3}}.{\bf{00}},{\rm{ }}{\bf{8}}.{\bf{00}},{\rm{ }}{\bf{and}}{\rm{ }}{\bf{11}}.{\bf{0}}{\rm{ }}{\bf{cm}}\] along the x-axis. (b) Point charges located at \[{\bf{1}}.{\bf{00}},{\rm{ }}{\bf{5}}.{\bf{00}},{\rm{ }}{\bf{8}}.{\bf{00}},{\rm{ }}{\bf{and}}{\rm{ }}{\bf{14}}.{\bf{0}}{\rm{ }}{\bf{cm}}\] along the x-axis
(a) Find the ratio of the electrostatic to gravitational force between two electrons. (b) What is this ratio for two protons? (c) Why is the ratio different for electrons and protons?
When a glass rod is rubbed with silk, it becomes positive and the silk becomes negative鈥攜et both attract dust. Does the dust have a third type of charge that is attracted to both positive and negative? Explain.
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