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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.

A2 初級 美國腔

# 電容的串聯和並聯

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Amy.Lin 發佈於 2021 年 01 月 06 日