Analog Computer Solution Design an OP AMP circuit that solves the following secondorder differential equation for vO(t). Solve for the response for vO(t) using OrCAD, Caution: Avoid saturating the OP AMPs by distributing the gain across several OP AMPs.

10

6 d2vOðtÞ

dt2

þ 1 2

10

3 dvOðtÞ

dt

þ vOðtÞ ¼ 1:5uðtÞ.

Use MATLAB to solve problem.

(a) Use the capacitor’s i-v characteristic to find the current i(t) for t 0.

(b) Use the inductor’s i-v characteristic and i(t) to find vL(t)
for t 0.

(c) Use vC(t), vL(t), and KVL to find the voltage v(t) delivered to the rest of the circuit.

(d) The v(t) found in

(c) should be proportional to the i(t)
found in (a). If so, what is the equivalent resistance looking into the rest of the circuit?

(e) On the same axes, plot vC(t), vL(t), and v(t). Use a different color for each waveform. Use the plots to verify KVL for the circuit.

t=0 2.5 mH i(t) 000 + + VL(t) + Rest of 25 F vc(t) v(t) the FIGURE P6-60 circuit