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Chapter 23: Q. 8 (page 652)
A circular disk has a surface charge density . What will the surface charge density be if the radius of the disk is doubled?
The surface charge density if the radius of the disk is doubled from .
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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.
An electric dipole is formed from two charges, , spaced apart. The dipole is at the origin, oriented along the y-axis. The electric field strength at the point is .
a. What is the charge q? Give your answer in .
b. What is the electric field strength at the point?
Show that an infinite line of charge with linear charge density exerts an attractive force on an electric dipole with magnitude . Assume that, the distance from the line, is much larger than the charge separation in the dipole.
A proton orbits a long charged wire, making revolutions per second. The radius of the orbit is . What is the wire鈥檚 linear charge density?
You鈥檝e been assigned the task of determining the magnitude and direction of the electric field at a point in space. Give a step-by-step procedure of how you will do so. List any objects you will use, any measurements you will make, and any calculations you will need to perform. Make sure that your measurements do not disturb the charges that are creating the field.
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