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  • Capacitors connected in series behave contrary to how many people expect.

  • Connecting capacitors in series results in a smaller capacitance.

  • In order to develop an intuition of why this occurs, let us suppose that we force a constant DC current through a capacitor for 10 seconds.

  • Let us now force the exact same DC current through a capacitor with a larger capacitance.

  • With a larger capacitance, the voltage increases more slowly,

  • and at the end of the 10 second time period, the voltage will therefore be smaller than before.

  • Let us now force the exact same DC current through three of these capacitors in series.

  • At the end of the 10 second time period, each capacitor develops the same voltage drop as in the previous example.

  • The total voltage drop across all three capacitors combined is the same as the voltage drop across the single capacitor with the smaller capacitance.

  • Therefore, as far as the external world is concerned, multiple capacitors connected in series behave just like a single capacitor with a smaller capacitance.

  • Let us now consider capacitors in parallel.

  • If we force a constant DC current through capacitors in parallel, the current will split up, and only a fraction of the total current will flow through each capacitor.

  • As a result, the voltage across each capacitor will increase more slowly,

  • and the voltage at the end of the 10 second time period will therefore be smaller.

  • Therefore, as far as the external world is concerned, multiple capacitors connected in parallel behave just like a single capacitor with a larger capacitance.

  • Here is another way to look at it.

  • Multiple capacitors connected in parallel can be viewed as a single capacitor with a larger area.

  • A capacitor with a larger area has a larger capacitance.

  • There is a similar way of looking at capacitors in series.

  • Multiple capacitors connected in series can be viewed as a single capacitor with a larger distance between the two plates.

  • A capacitor with a larger distance between the two plates has a smaller capacitance.

  • Detailed information about the basics of capacitors is available in the video "Capacitors and Capacitance."

Capacitors connected in series behave contrary to how many people expect.

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    Amy.Lin 發佈於 2021 年 01 月 06 日
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