Abstract
Real capacitors and inductors are often less ideal than real resistors. The non-ideal behavior can lead to some inconvenience that must be dealt with when capacitors and inductors are measured and used. In addition, some interesting new applications and results are presented using capacitors and inductors.
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Notes
- 1.
For more information about capacitance sensors, see Jones and Richards (1973).
- 2.
For more detailed considerations, see, for example, Paul et al. (2000), and references therein.
- 3.
To learn more about this problem see Heinrich (1986), and related articles.
- 4.
For example, see Esen et al. (2007).
- 5.
This speed is often designated using a “c,” however “c” here is the capacitance per unit length.
- 6.
On some equipment, the input/output connectors may be labeled with a resistance value such as “50 Ω” or “1 MΩ.” These values are the equivalent input/output impedance of the device. When so marked, it is usually the expectation that the characteristic impedance for cables which make those connections match that value.
- 7.
These dividers were first introduced in Chap. 1.
References
G. Esen et al., Transmission line impedance of carbon nanotube thin films for chemical sensing. Appl. Phys. Lett. 90, 123510 (2007)
F. Heinrich, Entropy change when charging a capacitor. Am. J. Phys. 54, 742–744 (1986)
R.V. Jones, J.C.S. Richards, The design and some applications of sensitive capacitance micrometers. J. Phys. E 6, 589–600 (1973)
S. Paul, A.M. Schlaffer, J.A. Nossek, Optimal charging of capacitors. IEEE Trans. Circ. Syst. I 47, 1009 (2000)
I.M. Sokolov, J. Klafter, A. Blumen, Fractional kinetics. Phys. Today 55(11), 48–55 (2002)
J.A. Van Den Akker, G.M. Webb, A method for measuring high resistance. Rev. Sci. Instruments 7, 44–46 (1936)
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Suits, B.H. (2020). More on Capacitors and Inductors. In: Electronics for Physicists. Undergraduate Lecture Notes in Physics. Springer, Cham. https://doi.org/10.1007/978-3-030-39088-4_4
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DOI: https://doi.org/10.1007/978-3-030-39088-4_4
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