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Chapter 25: Q. 4 (page 709)
A proton is released from rest at the positive plate of a parallelplate capacitor. It crosses the capacitor and reaches the negative plate with a speed of . The experiment is repeated with a ion (charge , mass ). What is the ion's speed at the negative plate?
Ion's speed at the negative plate is
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FIGURE P25.66 shows two uniformly charged spheres.
What is the potential difference between points?
Which point is at the higher potential?
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 .
Physicists often use a different unit of energy, the electron volt, when dealing with energies at the atomic level. One electron volt, abbreviated eV, is defined as the amount of kinetic energy gained by an electron upon accelerating through a 1.0 V potential difference. a. What is 1 electron volt in joules? b. What is the speed of a proton with 5000 eV of kinetic energy?
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.
What is the electric potential at the point indicated a dot in FIGURE EX25.31?
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