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For the CE ampli er of Fig. 3-17 with values as given in Problem 6.18, nd (a) the input resistance Ri and (b) the output resistance Ro . Ans: a 24:26 ; b 2:154 k A CE transistor ampli er is operating in the active region, with VCC 12 V and Rdc 2 k . If the collector characteristics are given by Fig. 3-9(b) and the quiescent base current is 30 A, determine (a) hfe and (b) hoe . Ans: a 190; b 83:33 S In the circuit of Fig. 6-30, hre 10 4 ; hie 200 ; hfe 100, and hoe 100 S. (a) Find the power gain as Ap jAi Av j, the product of the current and voltage gains. (b) Determine the numerical value of RL that maximizes the power gain. Ans: a h2 =j hoe RL 1 hoe hie hre hfe hie R 1 j; b 14:14 k L fe

Fig. 6-30

34.8 (Logarithmic Differentiation)

The EF ampli er of Fig. 3-26(a) utilizes a Si transistor with negligible leakage current and 59. Also, VCC 15 V; VL 3 V (VL is the dc component of vL ), and RE 1:5 k . Calculate (a) RB ; b the output impedance Zo , and (c) the input impedance Zin . Ans: a 339 k ; b 1:185 k ; c 50:98 k

The ampli er of Fig. 6-31 has an adjustable emitter resistor RE , as indicated, with 0 1. Assume that hre hoe % 0 and Cc ! 1, and nd expressions for (a) the current-gain ratio Ai iL =is , (b) the voltagegain ratio Av vL =vs , and (c) the input impedance Zin . Ans: hfe RB RL ; RC RL RB hie hfe 1 RE hfe RC RB RL ; b Av RC RL fRS RB RS RB hie hfe 1 RE g RB hie hfe 1 RE c Ri RB hie hfe 1 RE a Ai

Find the derivative of y= x 2 8x + 5 (2x 1)3

Costing Inventory: First-In, First-Out (FIFO)

+ VCC RC iL + LL _

Fig. 6-31

Instead of using the product and quotient rule for differentiation, it is easier to nd the logarithm of the absolute values,1 ln |y| = ln x 2 8x + 5 (2x 1)3 [by Property 6] [by Property 5] [by Property 8]

For the CB ampli er of Problem 619, use SPICE methods to nd (a) the input impedance Zin and (b) the output impedance Zo (Netlist code available at author website) Ans: a 24:81 ; b 2:195 k The exact small-signal equivalent circuit for the CC ampli er of Fig 6-2(a) is given by Fig 6-21 Find the Thevenin equivalent for the circuit to the right of terminals b; b, assume that hre hoe % 0, and show that the circuit of Fig 6-2(c) results (Hint: The conversion from CE to CC h parameters was worked out in Problem 614) Apply the CC h-parameter model of Fig 6-16 to the ampli er of Fig 6-2(a) to nd an expression for the voltage-gain ratio Av vE =vi Evaluate Av if hic 100 ; hrc 1; hfc 100; hoc 10 5 S, and RE 1 k .

Ans: Av hfc RE = hic hoc RE 1 hrc hfc RE % 0:999 Find an expression for Ro in the CC ampli er of Fig 6-21; use the common approximations hrc % 1 and hoc % 0 to simplify the expression; and then evaluate it if R1 1 k ; R2 10 k ; hfc 100, and hic 100 Ans: Ro hic = hoc hic hfc hrc % hic =hfc 1 The cascaded ampli er circuit of Fig 6-24(a) matches a high-input-impedance CC rst stage with a highoutput-impedance CE second stage to produce an ampli er with high input and output impedances To 0 illustrate this claim, refer to Fig 6-24(b) and determine values for (a) Zin Rin ; b Zin ; c Zo , and (d) Zo0 if RS 5 k and all other circuit values are as given in Problem 624.

= ln (x 2 8x + 5) ln |2x 1|3 = ln (x 2 ) + ln (8x + 5)1/2 ln |2x 1|3 = 2 ln x + 1 ln (8x + 5) 3 ln |2x 1| 2

Ans: a 29:18 k ; b 818:2 ; c 5 k ; d 9:99 To illustrate the e ect of signal-source internal impedance, calculate the voltage-gain ratio Av vL =vs for the cascaded ampli er of Fig 6-24(a) if RS 20 k and all other values are as given in Problem 624; then compare your result with the value of Av found in Problem 624 Ans: Av 58:61, which represents a reduction of approximately 40 percent.