Consider the circuit (figure 1) a) Obtain the transfer function H(s) = Vo(s)/Vi(s) b) Calculate the expression for Vo(t)

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Consider the circuit (figure 1)
a) Obtain the transfer function H(s) = Vo(s)/Vi(s)
b) Calculate the expression for Vo(t) when Vi(t) = u(t) (step function).
c) Calculate the expression for Vo(t) when Vi(t) has the form as figure 2.
Circuit (figure 1):
W 1kΩ HH W Vilt) O 1uF Vo(t) 1kΩ. 1mH
1 0.8 tensão M 0.6 0.4 - 0.2 0 0.001 0.002 0.003 0004 0.005 0.006 0.007 tempo si