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(Solved): (3) Consider the RLC circuit with L=1.0H,C=0.40mF, and R=100\Omega The source is v_(S)(t)=[2+8u(t) ...
(3) Consider the RLC circuit with
L=1.0H,C=0.40mF, and
R=100\Omega
The source is v_(S)(t)=[2+8u(t)]V.
d^(2)i_(L)(t)/(d)t^(2)+100di_(L)(t)/(d)t+2500i_(L)(t)=0
(see HW #9 Solution Problem 3)
Critically Damped s^(2)+100s+2500=0 gives s_(1)=s_(2)=-50 sec ^(()-1)
(a) Calculate vc(0^(+)), iL (0^(+)), and vc(+\infty ). (3 pts.)
(b) Determine the form of natural solution iln (t) using the values for s_(1) and s_(2).
(2 pts)
(c) Determine the particular solution i_(Lp)(t). (1 pt)
(d) Determine the complete solution it (t) for t>0. (3 pts.)
(e) Apply KVL to find an expression for vc(t) in terms of i_(L)(t) and calculate the
resulting expression. (5 pts. extra credit)