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Chapter 23: Q. 11 (page 653)
A small glass bead charged to is in the plane that bisects a thin, uniformly charged, -cm-long glass rod and is from the rod鈥檚 center. The bead is repelled from the rod with a force of. What is the total charge on the rod?
The total charge on the rod is
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FIGURE is a cross section of two infinite lines of charge that extend out of the page. The linear charge densities are . Find an expression for the electric field strength at height above the midpoint between the lines.
What are the strength and direction of the electric field at the position indicated by the dot in FIGURE ? Specify the direction as an angle above or below horizontal
One type of ink-jet printer, called an electrostatic ink-jet printer, forms the letters by using deflecting electrodes to steer charged ink drops up and down vertically as the ink jet sweeps horizontally across the page. The ink jet forms diameter drops of ink, charges them by spraying electrons on the surface, and shoots them toward the page at a speed of . Along the way, the drops pass through two horizontal, parallel electrodes that are wide, and spaced apart. The distance from the center of the electrodes to the paper is . To form the tallest letters, which have a height of , the drops need to be deflected upward (or downward) by . What electric field strength is needed between the electrodes to achieve this deflection? Ink, which consists of dye particles suspended in alcohol, has a density of .
Twodiameter charged rings face each other,apart. The left ring is charged toand the right ring is charged to.
a. What is the electric field, both magnitude and direction, at the midpoint between the two rings?
b. What is the force on a proton at the midpoint?
Your physics assignment is to figure out a way to use electricity to launch a small -long plastic drink stirrer. You decide that you鈥檒l charge the little plastic rod by rubbing it with fur, then hold it near a long, charged wire, as shown in FIGURE P23.56. When you let go, the electric force of the wire on the plastic rod will shoot it away. Suppose you can uniformly charge the plastic stirrer to and that the linear charge density of the long wire is . What is the net electric force on the plastic stirrer if the end closest to the wire is away?
Hint: The stirrer cannot be modeled as a point charge; an integration is required.
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