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The following netlist code describes the ampli er circuit:
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Prb8_21.CIR vi 1 0 AC 0.25V CC1 1 2 15uF RS 2 0 2kohm J 3 4 2 NJFET .MODEL NJFET NJF( Vto=-4V Beta=0.0005ApVsq + Rd=1ohm Rs=1ohm CGS=2pF CGD=2pF) R1 4 5 10kohm R2 4 0 10kohm RD 3 5 500ohm VDD 5 0 15V CC2 3 6 15uF RL 6 0 15kohm .AC DEC 100 10Hz 50MegHz .PROBE .END
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Execute hPrb8_21.CIRi and use the Probe feature of PSpice to yield the gain magnitude plot of Fig. 8-28. The marked points show the cuto frequencies to be fL 36:4 Hz and fH 9:9 MHz.
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Fig. 8-28
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Supplementary Problems
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8.22 Show that if two linear networks are connected in cascade to form a new network such that T j! T1 j! T2 j! , then the composite Bode plot is obtained by adding the individual amplitude ratios Mdb1 and Mdb2 and phase angles (1 and 2 ) associated with T1 j! and T2 j! at each frequency. Show that (8.3) follows from the evaluation of k1 and k2 of (8.2).
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An ampli er has a Laplace-domain transfer function (voltage-gain ratio) given by Av s Vo Ks Vi s 100 s 105
(a) If an asymptotic Bode plot of Av j! is made, over what values of frequency (in the midfrequency range) is the gain constant in amplitude (b) Find the midfrequency gain in decibels if Ks 108 . (c) Within 2 percent accuracy, over what range of frequencies is the exact gain constant Ans: a 100 ! 105 rad=s; b MdbM 60 db; c Mdb ! 58:8 db for 500 ! 5 104 rad/s 8.25 In Problem 8.19, the gain of the FET ampli er does not depend on the Miller capacitance CM ; however, the situation changes if the source resistance is nonzero. (a) Add a source resistance Ri to Fig. 8-26, and nd an expression for the voltage-gain ratio. (b) Evaluate the gain for Ri 0 and for Ri 100  if Cgs 3 pF, Cds 1 pF; Cgd 2:7 pF; rds 50 k; gm 0:016 S; RL RD 2 k; RG 1 M; and f 50 MHz. Ans: a b 8.26 Av s gm RG = Ri RG s Cds Cdg gds GD GL s RG kRi Cgs CM 1
For Ri 0; Av 10:348j131:538; for Ri 100; Av 3:49j61:268
Consider the high-pass lter circuit of Fig. 8-15(a). (a) Show that as ! becomes large, the amplitude ratio Mdb actually approaches 20 log RL = RL RS as indicated in Fig. 8-15(b). (b) Show that jM 2 j!L j, where !L 1=C RL RS , has the value 1 jM 2 j1 j 1 RL = RL RS 2 . 2 2 In the high-pass lter circuit of Fig. 8-15(a), the source impedance RS 5 k. If the circuit is to have a high-frequency gain of 0.75 and a break or cuto frequency of 100 rad/s, size RL and C. Ans: RL 15 k; C 0:5 F In the circuit of Fig. 3-20, replace VS with a sinusoidal source to give the small-signal circuit of Fig. 8-6. (a) If the impedance of the coupling capacitor is not negligible, nd the current-gain ratio Ai s IL =IS . (b) Determine the low-frequency cuto point. Ans: a Ai hfe RB = RB hie ; b the gain is independent of frequency down to f 0 Show that the RC network of Fig. 8-29 is a high-pass lter. Ans: Determine its low-frequency cuto point. !L R1 R2 R3 R1 R2 R3 C3
Vo R2 R3 sR2 R3 C3 = R2 R3 1 VS R1 R2 R3 s R1 R2 R3 C3 = R1 R2 R3 1
R1 + R2
LS Lo
R3 _
C3 _
Fig. 8-29
The ampli er of Fig. 3-10 is modeled for small-signal operation by Fig. 8-4. Let CC ! 1, CE 100 F, RE 100 ; RC RL 2 k, hie 200  and hfe 75. Determine (a) the low-frequency voltage gain, (b) the midfrequency gain, and (c) the low-frequency cuto point. Ans: a 9:62; b 375; c 3750 rad/s
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