The circuit of Figure P7=50 is a two-stage circuit that will be studied extensively in Chapter 12 as a band-pass filter. It is a second-order circuit whose zero-state step response can be solved by recognizing that since \(R\) and \(C\) are the same, the solution fits Case B for the natural response \(v_{2 \mathrm{~N}}(t)\) ( Eq-7-6 \(5 \underline{\mathrm{b}}\) .) Caution: \(v_{2}(t)\) is not \(v_{\mathrm{C}}(t)\) in the second circuit.

(a) Find the output \(v_{2}(t)\) when the input \(v_{\mathrm{S}}(t)=6 u(t\) ), \(R=15 \mathrm{k} \Omega\), and \(C=0.1 \mu \mathrm{F}\).
(b) Use MATLAB to plot your result.
(c) Simulate the circuit using Multisim and compare your results.

Transcribed Image Text:

R +oWWW vs(1) C C R WI V(1)