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Chapter 19: Q10CQ (page 694)
Can the potential of a non-uniformly charged sphere be the same as that of a point charge? Explain.
Yes, a non-uniformly charged sphere's potential might be the same as a point charge.
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Water has a large dielectric constant, but it is rarely used in capacitors. Explain why.
Membranes in living cells, including those in humans, are characterized by a separation of charge across the membrane. Effectively, the membranes are thus charged capacitors with important functions related to the potential difference across the membrane. Is energy required to separate these charges in living membranes and, if so, is its source the metabolization of food energy or some other source?
Sketch the equipotential lines a long distance from the charges shown in Figure \({\rm{19}}{\rm{.28}}\). Indicate the direction of increasing potential.
Figure \({\rm{19}}{\rm{.28}}\) shows the electric field lines near two charges \(q1\) and \(q2\) , the first having a magnitude four times that of the second. Sketch the equipotential lines for these two charges, and indicate the direction of increasing potential.
Find the ratio of speeds of an electron and a negative hydrogen ion (one having an extra electron) accelerated through the same voltage, assuming non-relativistic final speeds. Take the mass of the hydrogen ion to be \(1.67 \times {10^{ - 27}}{\rm{ }}kg\).
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