For each circuit shown the following values must be replaced by the statement be

Question

For each circuit shown the following values must be replaced by the statement below: L=first two number from your I.D. # in mH C-the last two digit of your I.D.# in micro F All procedures must be shown and indicate your result s Inside two square bracket [answer] (Example: I.D.# 34872 L=34mH and C=72uF)

For each circuit shown the following values must be replaced by the statement below: L=firsttwo number from your I.D. # in mH C-the last two digit of your I.D.# in micro F All procedures must be shown and indicate your results Inside two square bracket [answer] (Example: I.D.# 34872 L=34mH and C=72uF) a) Construct an v-domain circuit for t > 0. b) Find V 0. c) Fin

Explanation / Answer

for the current source circuit

for t<0

3 + V/50 +V*625n*S = 0 -----------------------1)

where V is viltage in the charged capacitor and n stands for nano.

for t>0

V - I(s)*5k - I(s)*SL = 0 -------------------------2)

and

Vo(S) = I(s)*SL-------------------------------3)

from the above three equation we get

Vo(S) = -(150/C)*(S/((1/50C + S)*(5000/L + S)))

= -3/(C(10000/L - 1/(50C)))*(2/(1/50C + S) - 1/(50000/L +S))

or

Vo(t) = -0.24*(2exp(-0.00003125t) - exp(-2000t))

for the voltage circuit use nodal analysis and get

(V0(S) - Vg(S))/1000 + Vo(S)/(250 + 0.05S) + SC*Vo(S) = 0----------------------------------1

where Vg(s) = 10S*(S^2 + 50,000^2)-----------------------------------2

solve 1 and 2 for Vo(S) and then take inverse laplace transform to get the reuslt in time domain.

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