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Resistor 
? V(s) RI(s) 
 
 
 
 
 
Inductor 
 
 
 
 
 
 
 
 
? ?
?
?? V(s) sL I(s) Li(0 ) 
?
??
V(s) i(0 )
I)
sL
O ( r s
s
 
Capacitor 
 
 
 
 
 
 
 
?
??
??
??
I(s) C sV(s) V(0 )    
?
??
1 V(0 )
I(s) I(s)
sC
Or  
s
 
Methodology 
1. Draw circuit in s-domain by substituting s-domain equivalent for each circuit element. 
2. Apply circuit analysis to obtain desired voltage or current in s-domain. 
3. Take inverse Laplace transform to convert voltage and current back in time-domain. 
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