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Chapter 25: Problem 5
In some cities, streetlights are wired in such a way that when one burns out, they all go out. Are the lights in series or parallel?
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Show that a battery delivers the most power when the load resistance across its terminals is equal to its internal resistance. (This is not the way to treat a battery, but it's the basis for load matching in amplifiers; see Problem \(69 .\) )
A defective starter motor draws 300 A from a car's \(12-V\) battery, dropping the battery terminal voltage to \(6 \mathrm{V}\). A good starter should draw only 100 A. What will the battery terminal voltage be with a good starter?
A parallel-plate capacitor has plates of area \(10 \mathrm{cm}^{2}\) separated by a 0.10 -mm layer of glass insulation with resistivity \(\rho=1.2 \times 10^{13} \Omega \cdot \mathrm{m}\) and dielectric constant \(\kappa=5.6 .\) Because of the finite resistivity, charge leaks through the insulation. (a) How can such a leaky capacitor be represented in a circuit diagram?(b) Find the time constant for this capacitor to discharge through its insulation, and show that it depends only on the properties of the insulating material and not on its dimensions.
Show that the quantity \(R C\) has the units of time (seconds).
Two identical resistors in series dissipate equal power. How can this be, when electric charge loses energy in flowing through the first resistor?
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