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Chapter 19: Q16PE. (page 696)
How far apart are two conducting plates that have an electric field strength of \(4.50 \times {10^3}\;V/m\) between them, if their potential difference is \(15.0kV\)?
The two conducting plates that have an electric field strength of \(4.50 \times {10^3}\;V/m\) between them is \(3.33\;m\)apart.
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In nuclear fission, a nucleus splits roughly in half. (a) What is the potential \(2.00 \times {10^{ - 14}}{\rm{ }}m\) from a fragment that has \(46\) protons in it? (b) What is the potential energy in \(MeV\) of a similarly charged fragment at this distance?
Integrated Concepts
A lightning bolt strikes a tree, moving 20.0 C of charge through a potential difference of 1.00 x 102MV.
(a) What energy was dissipated?
(b) What mass of water could be raised fromto the boiling point and then boiled by this energy?
(c) Discuss the damage that could be caused to the tree by the expansion of the boiling steam.
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?
(a) A sphere has a surface uniformly charged with \(1.00{\rm{ }}C\). At what distance from its centre is the potential \(5.00{\rm{ }}MV\)?
(b) What does your answer imply about the practical aspect of isolating such a large charge?
The lesser electric ray (Narcine bancroftii) maintains an incredible charge on its head and a charge equal in magnitude but opposite in sign on its tail (Figure19.32).
(a) Sketch the equipotential lines surrounding the ray.
(b) Sketch the equipotential when the ray is near a ship with a conducting surface.
(c) How could this charge distribution be of use to the ray?
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