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Next: Inductor Circuit Up: Chapter 33Alternating Previous: Resistor Circuit

Capacitor Circuit

If a voltage difference given by
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is applied across a capacitor C, then the resulting current is given by
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We now try to make this situation similar to the resistor circuit by insisting that the magnitude of the current be given by a formula that looks like Ohm's law:
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The quantity tex2html_wrap_inline4161 is called the     capacitive reactance, has units of ohms, and is used just like a resistance to find the magnitude of the current that flows due to an applied voltage.

Note that the applied voltage and the resulting current are not given by the same function of time, meaning that they are   out of phase with each other. If we start watching this circuit at time t=0, then we see the current at its maximum value and the applied voltage at zero. A quarter of a cycle later the current has dropped to zero and the voltage has risen to its maximum value. We describe this situation by saying that the current is ahead of the voltage, or that it   leads the voltage. Sometimes we also say that the voltage is behind, or   lags, the current. It may be helpful to remember the word ICE for this circuit; the C stands for capacitor, and in ``ICE'' the current, I, is ahead of the voltage, or applied emf, E.



Ross Spencer
Tue Apr 8 10:33:28 MDT 1997