step response of an RC circuit

Thread Starter

PG1995

Joined Apr 15, 2011
832
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
 

Attachments

Papabravo

Joined Feb 24, 2006
21,226
u(t) is the universally recognized notation for the unit step function.
It has only two values, zero and 1.
Rich (BB code):
u(t) = 0, for all t < 0
u(t) = 1, for all t > 0


What happens at t = 0 may be defined somewhat arbitrarily.
It could be zero, one or some value in between like say 0.5
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.
 

Thread Starter

PG1995

Joined Apr 15, 2011
832
Thanks, Papabravo.

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

Regards
PG
 
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