Chapter 7: Problem 11
How are units of volts and electron-volts related? How do they differ?
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Chapter 7: Problem 11
How are units of volts and electron-volts related? How do they differ?
These are the key concepts you need to understand to accurately answer the question.
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An electron enters a region between two large parallel plates made of aluminum separated by a distance of \(2.0 \mathrm{cm}\) and kept at a potential difference of \(200 \mathrm{V}\). The electron enters through a small hole in the negative plate and moves toward the positive plate. At the time the electron is near the negative plate, its speed is \(4.0 \times 10^{5} \mathrm{m} / \mathrm{s}\). Assume the electric field between the plates to be uniform, and find the speed of electron at (a) \(0.10 \mathrm{cm},\) (b) \(0.50 \mathrm{cm},\) (c) \(1.0 \mathrm{cm}\) and (d) \(1.5 \mathrm{cm}\) from the negative plate, and (e) immediately before it hits the positive plate.
A point charge of \(q=5.0 \times 10^{-8} \mathrm{C}\) is placed at the center of an uncharged spherical conducting shell of inner radius \(6.0 \mathrm{cm}\) and outer radius \(9.0 \mathrm{cm} .\) Find the electric potential at (a) \(r=4.0 \mathrm{cm},\) (b) \(r=8.0 \mathrm{cm},\) (c) \(r=12.0 \mathrm{cm}\)
Can a positively charged conductor be at a negative potential? Explain.
A solid cylindrical conductor of radius \(a\) is surrounded by a concentric cylindrical shell of inner radius \(b\). The solid cylinder and the shell carry charges \(Q\) and \(-Q\), respectively. Assuming that the length \(L\) of both conductors is much greater than \(a\) or \(b\), what is the potential difference between the two conductors?
Two very large metal plates are placed 2.0 \(\mathrm{cm}\) apart, with a potential difference of 12 V between them. Consider one plate to be at \(12 \mathrm{V},\) and the other at 0 V. (a) Sketch the equipotential surfaces for \(0,4,8,\) and 12 V. (b) Next sketch in some electric field lines, and confirm that they are perpendicular to the equipotential lines.
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