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Chapter 23: Q. 13 (page 653)
A long thin rod has the nonuniform charge density , where localid="1648623923714" is measured from the center of the rod. What is the total charge on the rod?
Hint: This exercise requires an integration. Think about how to handle the absolute value sign.
The total charge on the rod is is.
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An electret is similar to a magnet, but rather than being permanently magnetized, it has a permanent electric dipole moment. Suppose a small electret with electric dipole moment is from a small ball charged to , with the ball on the axis of the electric dipole. What is the magnitude of the electric force on the ball?
An electron in a vacuum chamber is fired with a speed of toward a large, uniformly charged plate away. The electron reaches a closest distance of before being repelled. What is the plate鈥檚 surface charge density?
The electric field from a very long charged wire is (2000 N/C, toward the wire). What is the charge (in ) on a-cm-long segment of the wire?
You've hung two very large sheets of plastic facing each other with distancebetween them, as shown in. By rubbing them with wool and silk, you've managed to give one sheet a uniform surface charge density and the other a uniform surface charge density . What are the electric field vectors at points,and
An electric field can induce an electric dipole in a neutral atom or molecule by pushing the positive and negative charges in opposite directions. The dipole moment of an induced dipole is directly proportional to the electric field. That is, , where is called the polarizability of the molecule. A bigger field stretches the molecule farther and causes a larger dipole moment.
a. What are the units of ?
b. An ion with charge is distancefrom a molecule with polarizability . Find an expression for the force .
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