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Chapter 19: Q13CQ (page 694)
Can different equipotential lines cross? Explain.
No, the different equipotential lines cannot cross each other.
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A research Van de Graaff generator has a \(2.00 - m\)-diameter metal sphere with a charge of \(5.00{\rm{ }}mC\) on it. (a) What is the potential near its surface? (b) At what distance from its centre is the potential \(1.00{\rm{ }}MV\)? (c) An oxygen atom with three missing electrons is released near the Van de Graaff generator. What is its energy in \(MeV\)at this distance?
Voltages are always measured between two points. Why?
Find the maximum potential difference between two parallel conducting plates separated by \(0.500{\rm{ }}cm\) of air, given the maximum sustainable electric field strength in air to be \(3.0 \times {10^6}{\rm{ }}V/m\).
Sparks will occur between the plates of an air-filled capacitor at lower voltage when the air is humid than when dry. Explain why, considering the polar character of water molecules.
Suppose you want a capacitor bank with a total capacitance of 0.750Fand you possess numerous 1.50mFcapacitors. What is the smallest number you could hook together to achieve your goal, and how would you connect them?
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