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Chapter 25: Q. 69 (page 713)
FIGURE P25.69 shows a thin rod of length L and charge Q. Find an expression for the electric potential a distance x away from the center of the rod on the axis of the rod.
The electric potential is given as
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Your lab assignment for the week is to measure the amount of charge on the 6.0-cm-diameter metal sphere of a Van de Graaff generator. To do so, you鈥檙e going to use a spring with a spring constant of 0.65 N/m to launch a small, 1.5 g bead horizontally toward the sphere. You can reliably charge the bead to 2.5 nC, and your plan is to use a video camera to measure the bead鈥檚 closest approach to the edge of the sphere as you change the compression of the spring. Your data is as follows:
Use an appropriate graph of the data to determine the sphere鈥檚 charge in nC. You can assume that the bead鈥檚 motion is entirely horizontal, that the spring is so far away that the bead has no interaction with the sphere as it鈥檚 launched, and that the approaching bead does not alter the charge distribution on the sphere.
A Van de Graaff generator is a device for generating a large electric potential by building up charge on a hollow metal sphere. A typical classroom-demonstration model has a diameter of .
a. How much charge is needed on the sphere for its potential to be?
b. What is the electric field strength just outside the surface of the sphere when it is charged to ?
A 3.0-cm-diameter parallel-plate capacitor has a 2.0 mm
spacing. The electric field strength inside the capacitor is.
a. What is the potential difference across the capacitor?
b. How much charge is on each plate?
An electric dipole has dipole moment p. If r W s, where
s is the separation between the charges, show that the electric
potential of the dipole can be written
where r is the distance from the center of the dipole and u is the
angle from the dipole axis.
A water molecule perpendicular to an electric field has more potential energy than a water molecule aligned with the field. The dipole moment of a water molecule is . What is the strength of the electric field?
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