12
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127 1211 1215 1217 1234 1246 1252 1255 1258 1261 vg vg b v1 = 4 2 Av = 2; G = 10 S a v1 = a RS = 10 k b vo (t) = 0001 2 10 3 sin t V RS1 = 40 k ; RS2 = 2 k ; RS3 = 5 k ; RS4 = 0625 k R3 102 k , R4 5 M 1 + j R2 C Vout = b 004 dB a Vin j R1 C a t = 104 ms b t = 120 ms d 2x 4,000x(t) = 16,000f (t) dt 2 CMRRmin = 74 dB a ACL = 19999 b ACL = 59999 Gain = 10008; phase = 31 rad
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> 1965 rad/s
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13
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132 136 1313 1316 a 10, 1010 a 11100 F =A+C b b 102, 1100110 c c 1000 71, 1000111 d 33, 100001 e 19, 10011 1101110
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F (X, Y, Z) = Y Z + XY Z
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Appendix C
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Answers to Selected Problems
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1325 1328 1334 1338 1345 1356
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F (A, B, C, D) = (CD)((A + B)C + ABC) f = BC + AB + ABC A+B f = BD + ACD F = ACD + ABC + ABC The circuit operates as a 4 of 16 decoder
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14
147 147 1415 1417 A 10-kHz clock increments a 16-bit binary counter The count is held by a latch, and then converted to BCD for use with seven-segment displays This is brie y discussed in the digital counters section, in 14 a n(n 1) b 2n Static means that memory contents do not have to be refreshed Nonvolatile means that the information in the memory is not lost when the power is off
15
1514 1516 1520 1524 A = 21 Adiff = 110 n=2 (j )2 /K vout (j ) = 2 + j K K vs (j ) (j ) 1 2 K= K1 = K2 = 1528 1539 RB RA + R B 1 1 1 1 KR1 C1 R2 C2 R 1 C1 R 2 C1
1 R 1 R 2 C1 C2 C1 = C2 = 1 F; R1 = 18
, R2 = 23
1543 1550 1555 1559 1563 1567 1576
1 Digital signals are less subject to noise 2 Digital signals are directly compatible with digital computers, and can therefore be easily stored on a disk, or exchanged between computers a va = 36 V b (va )max = 45 V c v = 03 V d n = 8 a va = 08425 V b (va )max = 10 V c v = 244 mV d Choose a 15-bit ADC n = 13 fmax = 10415 Hz n=9 Since the required noise protection level is 150 mV, R1 = 100 k , R2 = 18 k R3 = 162 k C = 091 F
16
163 1622 1627 1638 a Wm = 125 J a N = 5 = 1/8 f = 1735 N b L =2H b vL (t) = sin(2 t) + 4 cos(2 t) I1 = 0066 089 A Pin = 1498 W ef ciency = = 801% V1 = 3536 0015 V
Appendix C
Answers to Selected Problems
1639 1641 1645
x lg + 2 0 w 0 w(w x) i = 1784 A a R = a f = 155 N
b Wm =
(N1 + N2 )2 i 2 2R
i 2 (N1 + N2 )2 0 w 2 2 x2
17
172 179 1714 1719 1724 1739 1745 1749 1754 1762 = 032 mWb a Ia = 8333 A b Va = 12417 V Ploss = 2647 kW; Pin = 17647 kW a ia = 4293 A, m = 1063 rad/sec Pdev = 8952 kW Po = 8,452 W Tsh = 721 N-m 120 = 15 turns a Nseries = 8 b (1) TX = 113 NM (2) TX = 055 N-m (3) TX = 954 N-m (4) TX = 2053 N-m Is = 5423 (042) A Pmax = 3096 MW Pin motor = 1885 kW Pin total = 2710 kW pf = 0991 leading Tsh = 175 N-m; ef ciency = 0904 Tmax = 1232 kN-m Pin = 356 kW; Psh = 3217 kW;
