Alexander-Sadiku Fundamentals of Electric Circuits Chapter 8 ...
Alexander-Sadiku Fundamentals of Electric Circuits Chapter 8 ...
Alexander-Sadiku Fundamentals of Electric Circuits Chapter 8 ...
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8.2 Source-Free SeriesRLC <strong>Circuits</strong> (4)There are three possible solutions for the following2nd order differential equation:2d i2dt2didti2001. If > o , over-damped cases1ts2ti(t)A1e A2ewhere s 1,22. If = o , critical damped caset( t)( A2 At1e where s 1, 2i )3. If < o , under-damped case220ti( t)e ( B1 cosdt B2sindt)whered20278.2 Source-Free SeriesRLC <strong>Circuits</strong> (5)Example 1If R = 10 , L = 5 H, andC = 2 mF in 8.8, find ,0, s1 and s2.What type <strong>of</strong> naturalresponse will the circuithave?Please refer to lecture or textbook for more detail elaboration.Answer: underdamped84
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