If the input to the RLC circuit shown on the right is v₂(t) = u(t). a. Find the output voltage transform across each element. b. Compare the three outputs with regard to Vs(s) their respective poles and zeros. c. Use the initial- and final-value theorems to determine the value of the voltage across each element at t = 0 and t = . What conclusions can one draw regarding the results? VR(S) + Ls VL(S) 1/Cs + Vc(s) VLC(s)

please use mesh current to find the strady expression of the circuit please explain step by step an ddo all th emaht

The input to the circuit shown in the figure is the voltage from the voltage source, vi(t). Find the full voltage response across the capacitor, vo(t). Consider C-0.125 F, L-0.5H, R1-19, R2-4 Q. D(V) 5 0 5 10 R₂ 15 (5) =voll) Recommendation, find the mathematical expression for Vi(t) using shifted steps. Solve for an unshifted step and apply linearity to find the total response taking into account the shifted steps. note: without using Laplace.

After being closed for a long time the switch in the RC circuit shown below opens at timet=18 ms. Find iO(t) for t > 0 ms. For full credit include the equations and a plot describing iO(t).Hint: use superposition to find the contributions of each source.