Competing Circuit Designs Figure P7–88 shows the step responses vC(t) of two competing series RLC circuits from two different vendors. The circuits are designed to switch from 0 to 10Vand to meet a specification for a desired circuit with the following characteristic equation:

s2 þ 10s þ 100 ¼ 0 Not all of the details of the actual circuits have been provided because of proprietary reasons, but each vendor has given some information about their respective circuit. Both claim they meet the required specifications.

VENDORA VENDOR B RT ¼ 100 V R/L ¼ 10 rad/s 1/LC ¼ 100 (rad/s)2 v0 ¼ 10 rad/s C ¼ 2mF Which vendor would you choose and why?

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Voltage 12 10 8 Step response -Circuit B Circuit A 6 4 2 0 0 0.25 0.5 0.75 Time (s) 1 1.25 1.5 FIGURE 7-88