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Chapter 25: Q. 9 (page 709)
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?
The electric field's magnitude is.
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Two protons are launched with the same speed from point 1 inside the parallel-plate capacitor of FIGURE Q25.4. Points 2 and 3 are the same distance from the negative plate.
a. Is , the change in potential energy along the path , larger than, smaller than, or equal to ?
b. Is the proton's speed at point 2 larger than, smaller than, or equal to ? Explain.
Electrodes of area are spaced distance apart to form a parallel-plate capacitor. The electrodes are charged to .
(a). What is the infinitesimal increase in electric potential energy if an infinitesimal amount of charge is moved from the negative electrode to the positive electrode?
(b). An uncharged capacitor can be charged to by transferring charge over and over and over. Use your answer to part a to show that the potential energy of a capacitor charged to is .
A group of science and engineering students embarks on a quest to make an electrostatic projectile launcher. For their first trial, a horizontal, frictionless surface is positioned next to the 12-cm-diameter sphere of a Van de Graaff generator, and a small, 5.0 g plastic cube is placed on the surface with its center 2.0 cm from the edge of the sphere. The cube is given a positive charge, and then the Van de Graaff generator is turned on, charging the sphere to a potential of 200,000 V in a negligible amount of time. How much charge does the plastic cube need to achieve a final speed of a mere 3.0 m/s? Does this seem like a practical projectile launcher?
Two 2.0-cm-diameter disks spaced 2.0 mm apart form a
parallel-plate capacitor. The electric field between the disks is
.
a. What is the voltage across the capacitor?
b. An electron is launched from the negative plate. It strikes the
positive plate at a speed of .
What was the electron’s speed as it left the negative plate?
A -3.0 nC charge is on the x-axis at x = -9 cm and a +4.0 nC
charge is on the x-axis at x = 16 cm. At what point or points on
the y-axis is the electric potential zero?
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