Example 26.4 Equivalent CapacitanceProblem Find theequivalent capacitancebetween a and b for thecombination of capacitorsshown in Figure 26.11a.All capacitors are inmicrofarads.4.04.013.0CeaStrategy Using Equations26.8 and 26.10, wereduce the combination8,08.0step by step as indicatedin the figure.(a)(b)(c)(d)Figure 26.11 To find the equivalent combination of the capacitors in (a), thevarious combinations are reduced in steps as indicated in (b), (c), and (d), usingthe series and parallel rules described in the text. All capacitance values are inmicrofarads.SolutionThe C = 2.0 µF and 3.0 µF capacitors are in parallel and combine according to Ceg = C1 + C2. Theirequivalent capacitance is x1 = 5.0 µF. Likewise, the C2 = 4.0 µF and 6.0 µF capacitors are also in parallel andhave an equivalent capacitance of y1 = 10.0 µF. The upper branch in Figure 26.11b now consists of a 4.0 µFcapacitor and a 5.0 µF in series, which combine to give x2 according to the following equation.11111C1C24.0µF5.0µFx2X2 =Likewise, the lower branch in Figure 26.11b consists of an 8.0 µF capacitor and a 10.0 µF in series, whichgives what equivalent capacitance?Y2 =µFFinally, the two capacitors in Figure 26.11c are in parallel and have what equivalent capacitance, which is alsothe equivalent capacitance of the circuit?Ceg =You can practice reducing a combination of capacitors to a single equivalent capacitor with this InteractiveExample.Exercise 26.4Hints: Getting Started | I'm StuckConsider three capacitors having capacitances of 3.30 µF, 8.65 µF, and 8.40 µF.Find their equivalent capacitance if they are connected as follows.(a) in parallelCeg =µF(b) in seriesCeg =µF

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Answered: Consider three capacitors having…

Consider three capacitors having capacitances of 3.30 µF, 8.65 µF, and 8.40 µF. Find their equivalent capacitance if they are connected as follows. (a) in parallel Ceg = (b) in series Ceg =

Introductory Circuit Analysis (13th Edition)

13th Edition

ISBN:9780133923605

Author:Robert L. Boylestad

Publisher:Robert L. Boylestad

Chapter1: Introduction

Section: Chapter Questions

Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...

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