8.4 The Natural Response of a Series/Parallel RLC Circuit
8.4 The Natural Response of a Series/Parallel RLC Circuit
8.4 The Natural Response of a Series/Parallel RLC Circuit
- No tags were found...
Create successful ePaper yourself
Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.
<strong>8.4</strong> <strong>The</strong> <strong>Natural</strong> <strong>Response</strong> <strong>of</strong> a <strong>Series</strong>/<strong>Parallel</strong><strong>RLC</strong> <strong>Circuit</strong>Case 1 Overdamped Case ( α > ω )Two real rootsSt 1 St 2() =1+2i t Ae AeCase 2 Critically Damping Case ( α= ω )Equal real rootsRS1 = S2=− =−α2Li t = A + At e −αt() ( )2 100C.T. Pan 29<strong>8.4</strong> <strong>The</strong> <strong>Natural</strong> <strong>Response</strong> <strong>of</strong> a <strong>Series</strong>/<strong>Parallel</strong><strong>RLC</strong> <strong>Circuit</strong>Case 3 Underdamped Case ( α < ω )Complex conjugate rootsSS12=− α + jω()dd=−α− jωω @ ω −αd2 20−αti t = e B cosωt+B sinω1 d 20damping frequency( )Once i(t) is obtained ,solutions <strong>of</strong> other variables can beobtained from this mesh current.dtC.T. Pan 30
Change language