step response of an RC circuit

Discussion in 'General Electronics Chat' started by PG1995, Oct 23, 2011.

  1. PG1995

    Thread Starter Active Member

    Apr 15, 2011
    753
    5
    Hi

    Please have a look on the attachments. The attached pages are: 258, 259, 260. Please help me with the queries. I need to understand this derivation soon. Thank you for your help.

    If you want to have a look on the derivation of "Source Free RC Circuit" and description of "natural response", you can have look on the attached pages in first post of this thread: http://forum.allaboutcircuits.com/showthread.php?t=61060

    Regards
    PG
     
  2. Papabravo

    Expert

    Feb 24, 2006
    10,145
    1,791
    u(t) is the universally recognized notation for the unit step function.
    It has only two values, zero and 1.
    Code ( (Unknown Language)):
    1.  
    2. u(t) = 0, for all t < 0
    3. u(t) = 1, for all t > 0
    4.  
    5.  
    6. What happens at t = 0 may be defined somewhat arbitrarily.
    7. It could be zero, one or some value in between like say 0.5
    8.  
    Since 1 is the multiplicative identity over the field of real numbers it can be ignored for t > 0 and that is what the author is doing.
     
    PG1995 likes this.
  3. PG1995

    Thread Starter Active Member

    Apr 15, 2011
    753
    5
    Thanks, Papabravo.

    Please someone also help me with other questions. It would be really kind of you.

    Regards
    PG
     
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