1. The over-damped parallel rlc circuit a>00---( ZRO 2 0<C 00<-a+a <0 The S, and s, are negative real numbers, thus, the response can be expressed as the sum of two decreasing exponential terms, both of which approach zero as time increases without limit. The term containing S,(T2 <T has the more rapid rate of decrease1. The over-damped parallel RLC circuit ) 1 2 1 ( 0 RC LC    − − −  The S1 and S2 are negative real numbers, thus, the response can be expressed as the sum of two decreasing exponential terms, both of which approach zero as time increases without limit. 2 1 s  s The term containing s2 ( ) has the more rapid rate of decrease. 2 1    1  2  t 0 2 0 2 2 0 2 2 0 2  −    − −  −  − +  − 