Ch0214 - Chapter 14 Capacitors in Series & Parallel 14...

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Chapter 14 Capacitors in Series & Parallel 109 14 Capacitors in Series & Parallel The method of ever-simpler circuits that we used for circuits with more than one resistor can also be used for circuits having more than one capacitor. The idea is to replace a combination circuit element consisting of more than one capacitor with a single equivalent capacitor. The equivalent capacitor should be equivalent in the sense that, with the same potential across it, it will have the same charge as the combination circuit element. Capacitors in Series Let’s start with a case in which the combination circuit element consists of two capacitors in series with each other: We consider the two capacitors to be a two-terminal combination circuit element: The voltage across the combination circuit element is clearly the EMF voltage V since, for both the seat of EMF and the combination circuit element, we’re talking about the potential difference between the same two conductors: V C 2 C 1 V C 2 C 1 V C 2 C 1
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Chapter 14 Capacitors in Series & Parallel 110 The voltage across each individual capacitor is, however, not known. But consider this: After that last wire is connected in the circuit, the charging process (which takes essentially no time at all) can be understood to proceed as follows (where, for ease of understanding, we describe things that occur simultaneously as if they occurred sequentially): The seat of EMF pulls some positive charge from the bottom plate of the lower capacitor and
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This note was uploaded on 02/29/2012 for the course PHYS 227 taught by Professor Rabe during the Fall '08 term at Rutgers.

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Ch0214 - Chapter 14 Capacitors in Series & Parallel 14...

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