Review Questions

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Review Questions

16.1 The voltage through a resistor with current i(t) in the s-domain is sRI(s).

(a) True (b) False

16.2 The current through an RL series circuit with input voltage v(t) is given in the s-domain as:

(a)

$$V(s) \left[ R + \frac{1}{sL} \right]$$

(b) $V(s)(R + sL)$
(c) $\frac{V(s)}{R + 1/sL}$ (d) $\frac{V(s)}{R + sL}$

16.3 The impedance of a 10-F capacitor is:

(a) 10∕s (b) s∕10 (c) 1∕10s (d) 10s

16.4 We can usually obtain the Thevenin equivalent in the time domain.

(a) True (b) False

16.5 A transfer function is defined only when all initial conditions are zero.

(a) True (b) False

Problems 745

16.6 If the input to a linear system is δ(t) and the output is e⁻2*^t u*(t), the transfer function of the system is:

(a)

$$\frac{1}{s+2}$$

(b) $\frac{1}{s-2}$ (c) $\frac{s}{s+2}$ (d) $\frac{s}{s-2}$

(e) None of the above

16.7 If the transfer function of a system is

sfer function of a system is
\n

$$H(s) = \frac{s^2 + s + 2}{s^3 + 4s^2 + 5s + 1}$$

it follows that the input is X(s) = s 3 + 4s 2 + 5s + 1, while the output is Y(s) = s 2 + s + 2.

$$(a) True \t\t (b) False$$

16.8 A network has its transfer function as

has its transfer function a

$$H(s) = \frac{s+1}{(s-2)(s+3)}$$

The network is stable.

$$(a) True \t\t (b) False$$