3-Lesson_Notes_Lecture_17 - Series Parallel Combination of...

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EE 204 Lecture 17 Series Parallel Combination of Inductor and Capacitors The Form of Energy Storage in the Inductor and the Capacitor: The energy relations: 2 1 () 2 LL wt L i t = energy stored in the inductor is in the form of current . 2 1 2 cc C v t = energy stored in the capacitor is in the form of voltage . Inductors and Capacitors in Series and in Parallel: For N inductors in series 12 ... eq N L L = +++ For N inductors in parallel 11 1 1 ... eq N L L =++ + Inductors in series and in parallel are combined in the same way as resistance. Figure 1
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For N capacitors in series 12 11 1 1 ... eq N CC C C =++ + For N capacitors in parallel ... eq N C C = ++ + Capacitors in series and in parallel are combined in the same way as conductance. Figure 2 Example 1: Simplify the circuit shown. a b 4F 3F 5 1F 1F 2H 3H Figure 3 Solution: 2 H & 3 H in series 235 eq LH =+= 1 F & 1 F in series 1 2 eq C 1 0.5 2 eq CF == [Adding capacitors in series reduces the overall capacitance!]
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43 FF 347 eq CF =+= The circuit cannot be simplified any further.
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3-Lesson_Notes_Lecture_17 - Series Parallel Combination of...

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