A CB amplifier is required to amplify a signal delivered by a coaxial cable having a characteristic resistance of $50 \Omega.$ What bias current $I_{C}$ should be utilized to obtain $R_{\mathrm{in}}$ that is matched to the cable resistance? To obtain an overall voltage gain of $G_{v}$ of 40 V/V, what should the total resistance in the collector $\left( i.e., R_{C} \| R_{L}\right)$ be?

An ideal series-shunt feedback amplifier. Assume $R_S$ is negligibly small. (a) If $V_i=100 \mathrm{mV}, V_{f b}=99 \mathrm{mV}$, and $V_o=5 \mathrm{~V}$, determine $A_v, \beta_v$, and $A_{v f}$, including units. (b) Using the results of part (a), determine $R_{i f}$ and $R_{o f}$, for $R_i=5 \mathrm{k} \Omega$ and $R_o=4 \mathrm{k} \Omega$.

In the single-supply noninverting amplifier, $R=68 \mathrm{k} \Omega, R_1=1.5 \mathrm{k} \Omega, R_2=15 \mathrm{k} \Omega, R_{\perp}$ $=15 \mathrm{k} \Omega, \Omega, C_1=1 \mu \mathrm{F}, C_2=2.2 \mu \mathrm{F}$, and $C_3=3.3$ $\mu F$. What is the voltage gain? The three lower cutoff frequencies?

In the following sentences, underline the gerund or gerund phrase. Then, identify its function in the sentence by writing above it S for subject, PN for predicate nominative, DO for direct object, or OP for object of a preposition.

Example 1. $\overset{\textit{\color{#c34632}{S}}}{{\underline{\text{Stargazing}}}}$ is a popular hobby among many people.

Some amateur astronomers also invest time in photographing the stars.

A CS amplifier operating with a $g_m$ of $2 \mathrm{~mA} / \mathrm{V}$ and having $r_o=20 \mathrm{k} \Omega$ has a $2-\mathrm{k} \Omega$ resistance $R_s$ connected in its source lead. Find the output resistance $R_o$. Recalling that the open-circuit voltage gain remains unchanged at $A_0$, find the gain obtained with $R_L=100 \mathrm{k} \Omega$.

In each sentence below, underline the correct pronoun in parentheses. Then, identify the function of the pronoun by writing above it $S$ for subject, $PN$ for predicate nominative, $DO$ for direct object, $IO$ for indirect object, $OP$ for object of a preposition, or $A$ for appositive.

Example 1. Our neighbors, (her, $\underline{\text{she}}$)(A) and Mrs. Stinson, are always thoughtful and pleasant.

19. Show Katerina and (me, I) the pictures from your vacation.

Scores on a test of dexterity are recorded by timing a subject who is inverting pegs by picking them up with one hand, manipulating them to turn them over, and then placing them back in a frame. A typical 4-year-old needs about 3.1 25 seconds to inve1t a peg, but a 9-year-old takes 1.375 seconds and a 12-year-old can do it in 1.125 seconds. Plot these three points. Now try the reciprocal re-expression ( 1 / y) vs. age. Which version is straighter? What interpretation would you give to the reciprocal?

Underline the gerund phrase in each of the following sentences. Then, identify its function in the sentence by writing above it S for subject ,PN for predicate nominative, DO for direct object, or OP for object of a preposition.

Example 1. We eagerly anticipated $\overset{\textit{\color{#c34632}{DO}}}{{\underline{\text{diving into the icy water}}}}$.

Her part-time job is packing computer components at the factory.

Consider a cascode amplifier for which the CS and CG transistors are identical and are biased to operate at $I_{D}=0.1 \mathrm{mA}$ with $V_{O V}=0.2 \mathrm{V}.$ Also let $V_{A}=2 \mathrm{V}.$ Find $A_{v 1}, A_{v 2},$ and $A_{v}$ for two cases: (a) $R_{L}=20 \mathrm{k} \Omega$ and (b) $R_{L}=400 \mathrm{k} \Omega.$

Using the convolution theorem, determine the following inverse Laplace transforms. Check your results by first expressing the given transform in partial-fractions form and then inverting using the standard results:

$$\begin{array}{l}{\quad(\mathrm{a}) \mathscr{L}^{-1}\left\{\frac{1}{s(s+3)^{3}}\right\}} \\ {\text { (b) } \mathscr{L}^{-1}\left\{\frac{1}{(s-2)^{2}(s+3)^{2}}\right\}} \\ {\text { (c) } \mathscr{L}^{-1}\left\{\frac{1}{s^{2}(s+4)}\right\}}\end{array}$$

Underline the noun clause in each sentence, and then, identify its function by writing above it S for subject, PN for predicate nominative, DO for direct object, IO for indirect object, or OP for object of a preposition.

Example 1. Do you know $\overset{\textit{\color{#c34632}{DO}}}{{\underline{\text{who the first female prime minister of India was}}}}$?

Gilbert taught whoever was interested the basic chess moves.

In each sentence below, underline the correct pronoun in parentheses. Then, identify the function of the pronoun by writing above it $S$ for subject, $PN$ for predicate nominative, $DO$ for direct object, $IO$ for indirect object, $OP$ for object of a preposition, or $A$ for appositive.

Example 1. Our neighbors, (her, $\underline{\text{she}}$)(A) and Mrs. Stinson, are always thoughtful and pleasant.

1. (Who, Whom) will be bringing the refreshments for the meeting?

An electric guitar has steel strings vibrating next to a small magnet and a 'pick-up' coil connected to an amplifier:

If you pluck the string so that it vibrates at a frequency of $500 \mathrm{~Hz}$,

a) what happens to the magnetic field near the coil?

b) what happens in the coil?

c) what do you hear?

Electric guitars can't use nylon strings. Why?

Although thus far we have focused only on their application in dc biasing, current mirrors can also be used as signalcurrent amplifiers. One such application is illustrated in Fig. earlier Here $Q_1$ is a common-source amplifier fed with $v_I=V_{G S}+v_f$, where $V_{G S}$ is the gate-to-source dc bias voltage of $Q_1$ and $v_t$ is a small signal to be amplified. Find the signal component of the output voltage $v_O$ and hence the small-signal voltage gain $v_a / v_f$. For this purpose, you may neglect all $r_a$ 's. Also, find the small-signal resistance of the diode-connected transistor $Q_2$ in terms of $g_{\mathrm{v} 2}$ and $r_{\mathrm{o2}}$, and hence the total resistance between the drain of $Q_1$ and ground. What is the voltage gain of the CS amplifier $O$ ?