Physical Idealization As Plausible Inference, Vol. 4 (Classic Reprint)
- Paperback
- Publisher:
- 1kg Limited
- Release Date:
- 2015
- ISBN-10:
- 1330660706
- ISBN-13:
- 9781330660706
- List Price:
- $9.97
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About Physical Idealization As Plausible Inference, Vol. 4 (Classic Reprint)
Excerpt from Physical Idealization as Plausible Inference, Vol. 4 Let us make the simplifying assumption, for the moment, that the appropriate fix, here is to associate a small resistance with the wire. Thus, in most cases, we wish to approximate a wire as a short circuit; here, we wish to approximate it as a resistor of very low resistance. One way to accomplish this would be to change the basic model of a wire to be a small resistor; to apply this uniformly to all circuits; and then to use mathematical techniques to justify ignoring this resistance in almost all cases. (one might, for example, treat the resistance of a wire as an infinitesimal quantity, and use techniques like those of [raiman, 86] to show that its effect is negligible.) But the computational costs of this approach are non-trivial, and become worse as more tiny but non-zero characteristics are found to be occasionally…
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