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(Solved): Calculate the complete response in the time domain for the second order circuit shown in Fig.5. Gi ...
Calculate the complete response in the time domain for the second order circuit shown in Fig.5. Given
Vs(t)=-8+2u(t)V. a) What are the initial values for the inductor current
i_(L)(t)and capacitor voltage
v_(c)(t)at the time
t=0^(+)? Give brief explanations. b) Find the equation for the capacitor voltage
v_(c)(t)in Fig. 5 for
t>=0and show that it can be rearranged into:
(d^(2)v_(c)(t))/(dt^(2))+(13.33)(dv_(c)(t))/(dt)+ (33333) v_(c)(t)=33333v_(s)You may use the direct method or the s operator method. c) Calculate the natural frequencies. What type of natural response is expected? d) Calculate the forced response. e) Use the initial conditions to calculate the complete response for
v_(c)(t)for
t>=0. Write the numerical representation with all numbers in decimals. Include all the units.
