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 The Source-Free 
  RC Circuit (2)
 •The natural
 response of a circuit refers to the
 behavior (in terms of voltages
 and currents) of the circuit itself, with
 no external sources of
 excitation.
 
  
  
  
  
   
   
   
   
   
   
   
   
   
   
   
   
  
  
  
   
  
 
  
  
  
 
  
  
  
 
  
  
  
 
  
  
  
 
 
 •
 •The time constant t of a circuit is the
 time required for the response to
 decay by a factor of 1/e or 36.8% of its initial value. 
 
 • v decays faster for small t and slower
 for large t.
 •
 •
  
 
  
  
  
  
   
   
   
   
   
   
   
   
   
   
   
   
  
  
  
   
  
   
   
    
    
    
    
    
    
    
    
    
    
    
    
   
   
   
  
   
  
   
   
  
   
   
   
  
   
   
  
   
  
  
   
   
   
  
   
  
  
   
   
   
  
   
   
  
 Time constant
 Decays more slowly
 Decays faster