Capacitors in series

Chapter Capacitors in series

Teach Yourself Electricity and Electronics Third Edition Book
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Teach Yourself Electricity and Electronics Third Edition Book

  • Capacitors in seriesWith capacitors, there is almost never any mutual interaction. This makes capacitorssomewhat easier to work with than inductors.Capacitors in series add together like resistors in parallel. If you connect two ca-pacitors of the same value in series, the result will be half the capacitance of eithercomponent alone. In general, if there are several capacitors in series, the compositevalue will be less than any of the single components. It is important that you always usethe same size units when determining the capacitance of any combination. Don’t mixmicrofarads with picofarads. The answer that you get will be in whichever size units youuse for the individual components.Suppose you have several capacitors with values C1, C2, C3, . . . Cn all connected inseries. Then you can find the reciprocal of the total capacitance, 1/C, using the follow-ing formula:1/C1/C11/C21/C3…1/CnThe total capacitance, C, is found by taking the reciprocal of the number you get for1/C.If two or more capacitors are connected in series, and one of them has a value thatis extremely tiny compared with the values of all the others, the composite capacitancecan be taken as the value of the smallest component.Problem 11-1Two capacitors, with values of C10.10µF and C20.050µF, are connected in series(Fig. 11-3). What is the total capacitance?202 Capacitance11-3Capacitors in series.Using the above formula, first find the reciprocals of the values. They are 1/C110and 1/C220. Then 1/C102030, and C1/300.033µF.Problem 11-2Two capacitors with values of 0.0010 µF and 100 pF are connected in series. What is thetotal capacitance?Convert to the same size units. A value of 100 pF represents 0. 000100 µF. Then youcan say that C10.0010µF and C20.00010µF. The reciprocals are 1/C11000 and