Comprehensive Problems

16.103 Obtain the transfer function of the op amp circuit in Fig. 16.112 in the form of

\frac{V_o(s)}{V_i(s)} = \frac{as}{s^2 + bs + c}

where a, b, and c are constants. Determine the constants.

16.104 A certain network has an input admittance Y(s). The admittance has a pole at s = −3, a zero at s = −1, and Y(∞) = 0.25 S.

(a) Find Y(s).
(b) An 8-V battery is connected to the network via a switch. If the switch is closed at t = 0, find the current i(t) through Y(s) using the Laplace transform.

16.105 A gyrator is a device for simulating an inductor in a network. A basic gyrator circuit is shown in

Figure 16.113 For Prob. 16.105.

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