Mathcad - CE
13
G v R B2 v C 1 i E1 B1 R R V + 2 E E2 C R L v R o V C R C + Common Emitter r x 10Ω R C 6.8kΩ R L 22kΩ R E1 2kΩ β 200 V BE 0.65V A v 25 V plus 15V R p AB ( ) AB A B α β β 1 R tc R p R C R L R te α R p R C R L A v R E2 1 1 R te 1 R E1 V CEsat 0.3V R E2 230.58 Ω I C V plus V CEsat R tc R C R E1 R te α For Symmetric Clipping I C 1.034 mA I B I C β I E I C α V C V plus I C R C V E I E R E1 V B V E V BE I B 5.172 μA I E 1.039 mA V C 7.967 V V E 2.079 V V B 2.729 V I B1 10 I B I B2 I B1 I B R B1 V B I B1 R B2 V plus V B I B2 V A 74.03V R B1 52.769 kΩ R B2 215.706 kΩ V T 25.9mV r e V T I E r ie r x 1 β r e V CB V C V B r o V A V CB I C r o 76.637 kΩ r ic r o R p r ie R te 1 α R te r ie R te A v α R p r ic R tc r ie R te A v 22.138 v oplus I C R tc v ominus V plus I C R C R E1 R tc R tc R te v oplus 5.373 V v ominus 5.672 V
Transcript of Mathcad - CE
Gv
RB2
vC 1
i
E1
B1R
R
V +
2
E
E2
C
R
L
v
R
o
V
C
RC
+
Common Emitter rx 10Ω RC 6.8kΩ RL 22kΩ RE1 2kΩ
β 200 VBE 0.65V Av 25 Vplus 15VRp A B( )
A B
A B
αβ
β 1
Rtc Rp RC RL Rte
α Rp RC RL
Av RE2
1
1
Rte
1
RE1
VCEsat 0.3VRE2 230.58 Ω
IC
Vplus VCEsat
Rtc RCRE1 Rte
α
For Symmetric Clipping IC 1.034 mA
IB
IC
β
IE
IC
α VC Vplus IC RC VE IE RE1 VB VE VBE
IB 5.172 μA IE 1.039 mA VC 7.967 V VE 2.079 V VB 2.729 V
IB1 10 IB IB2 IB1 IB RB1
VB
IB1 RB2
Vplus VB
IB2 VA 74.03V
RB1 52.769 kΩ RB2 215.706 kΩ VT 25.9mV re
VT
IE
rie
rx
1 βre VCB VC VB ro
VA VCB
IC ro 76.637 kΩ
ric
ro Rp rie Rte
1 αRte
rie Rte
Av αRp ric Rtc
rie Rte Av 22.138
voplus IC Rtc vominus Vplus IC RC RE1 Rtc
Rtc Rte
voplus 5.373 V vominus 5.672 V
0
0
1
1
2
2
3
3
4
4
5
5
A A
B B
C C
D D
Title:
Document N:
Date: Sheet of
Revision:Size:
Common Emitter
0001
2013-08-25 1 1
1.0A
Common EmitterPrinting Time:Sunday, August 25, 2013, 1:15:47 PM
DC Operating PointDC Operating Point
1
2
3
4
V(c) 7.90770
V(e) 2.09609
@qq1[ic] 1.04570 m
V(b) 2.73369
Common EmitterPrinting Time:Sunday, August 25, 2013, 1:17:04 PM
V(out)
AC Analysis
Frequency (Hz)
1 100M4 7 10 10M40 70 4M1M400 700 400k100k4k 7k 40k
Magnitude
10m
100
40m
70m
40
10
400m
700m
4
V(out)
Frequency (Hz)
1 100M4 7 10 10M40 70 4M1M400 700 400k100k4k 7k 40k
Phase (deg)
-200
200
-100
100
0
Common EmitterPrinting Time:Sunday, August 25, 2013, 1:21:33 PM
V(out)
AC Analysis
Frequency (Hz)
1 100M4 7 10 10M40 70 4M1M400 700 400k100k4k 7k 40k
Ma
gn
itu
de
10m
100
40m
70
70m
40
100m
10
400m
7
700m
4
1
(3.3113k, 22.2517)(35.7758, 15.7302)
(302.0149k, 15.7300)Midband Gain
Lower -3dB
Upper -3dB
Transient Analysis(Merged_1)(Merged_1)Printing Time:Sunday, August 25, 2013, 1:25:09 PM
V(out) V(out)[Merged] V(out)[Merged_1]
Transient Analysis
Time (s)
0.0 2.0m500.0µ 1.5m1.0m
Voltage (V)
-8
8
-5
5
-3
3
0
vi=0.7
0.3
0.1
Common EmitterPrinting Time:Sunday, August 25, 2013, 1:30:04 PM
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2
3
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5
6
7
8
9
10
11
12
13
14
15
16
17
18
Fourier analysis for
DC component: 2.1819
No. Harmonics: 9
THD: 55.3119 %
Grid size: 256
Interpolation Degree:
1
Harmonic Frequency Magnitude Phase Norm. Mag Norm. Phase
1 1000 5.35346 -175.99 1 0
2 2000 2.83153 98.6467 0.528915 274.64
3 3000 0.528752 20.6445 0.0987681 196.638
4 4000 0.515847 96.7866 0.0963576 272.78
5 5000 0.427744 16.0483 0.0799005 192.041
6 6000 0.0606975 -37.868 0.011338 138.125
7 7000 0.0762513 -7.8517 0.0142434 168.141
8 8000 0.04855 156.595 0.00906889 332.588
9 9000 0.100448 44.6129 0.0187633 220.606
V(out)
Fourier Analysis
Frequency (Hz)
0 10k2k 8k4k 6k
Voltage (V
)
-1
6
0
5
1
4
2
3
Input vi = 0.7
Common EmitterPrinting Time:Sunday, August 25, 2013, 1:38:47 PM
onoise_spectrum sqrt(onoise_spectrum) sqrt(integral(onoise_spectrum))
Noise Spectral Density Curves - (V^2 or A^2)/Hz
Frequency (Hz)
1 10M4 7 4M10 1M40 70 400k100k400 700 40k10k4k
V²/Hz or A²/Hz
1e-018
100µ
5e-018
28µ
1e-017
10µ
3e-017
6e-017
5µ
1µ
3e-016
6e-016
460n
100n
3e-015
6e-015
46n
10n
3e-014
6e-014
5n
1n
3e-013
6e-013
460p
100p
3p
6p
46p
(8.4363M, 30.7173µ)
Volts^2/Hz
Volts/root(Hz)
Total Output Noise= 30.7173uV
Output Noise
LTspice netlist Page 1
COMMON EMITTER AMPLIFIERVI 1 0 AC 1 SIN(0 1 1K)C1 1 B 0.22UVCC 3 0 DC 15RB2 3 B 215.706KRB1 B 0 52.769KRC 3 C 6.8KQ C B E BREW.MODEL BREW NPN(IS=20F BF=200 VA=170 RB=10 CJC=3.6P TF=300P)RE1 E 0 2KCE E 5 100URE2 5 0 230.58C2 C OUT 10URL OUT 0 22KCL OUT 0 100P.OP.AC DEC 1000 10 100MEG.TRANS 0 20M.FOUR 1K V(OUT).NOISE V(OUT) VI DEC 1000 1 100MEG.END
10Hz 100Hz 1KHz 10KHz 100KHz 1MHz 10MHz 100MHz-25dB
-20dB
-15dB
-10dB
-5dB
0dB
5dB
10dB
15dB
20dB
25dB
30dB
-300°
-280°
-260°
-240°
-220°
-200°
-180°
-160°
-140°
-120°
-100°
-80° V(out)
V(out): (10.7188Hz,15.7789dB)V(out): (1.05292MHz,15.7489dB)Delta Freq: 1.05291MHz Ratio: (-29.9977mdB,-163.771°)
--- Z:\Z_Red_Ruby\brewdoc\ece4043hwk\TutorialSuper\Exp01CE\CE.CIR ---
0.0ms 0.2ms 0.4ms 0.6ms 0.8ms 1.0ms 1.2ms 1.4ms 1.6ms 1.8ms 2.0ms-6V
-5V
-4V
-3V
-2V
-1V
0V
1V
2V
3V
4V
5V
6VV(out)
V(out): (786.424µs,5.41657V)V(out): (1.23841ms,-5.48736V)delta: (451.987µs,-10.9039V)
--- Z:\Z_Red_Ruby\brewdoc\ece4043hwk\TutorialSuper\Exp01CE\CE.CIR ---
100Hz 1KHz 10KHz 100KHz 1MHz0V
1V
2V
3V
4V
5V
6V
7V
8V
9V
10VV(out)
V(out): (999.036Hz,3.42558V)V(out): (2.00527KHz,1.95918V)Delta Freq: 1.00623KHz Ratio: (571.926m,-73.2939°)
--- Z:\Z_Red_Ruby\brewdoc\ece4043hwk\TutorialSuper\Exp01CE\CE.fft ---
1Hz 10Hz 100Hz 1KHz 10KHz 100KHz 1MHz 10MHz 100MHz0nV/Hz½
60nV/Hz½
120nV/Hz½
180nV/Hz½
240nV/Hz½
300nV/Hz½
360nV/Hz½
420nV/Hz½
480nV/Hz½
540nV/Hz½
600nV/Hz½V(onoise)
--- Z:\Z_Red_Ruby\brewdoc\ece4043hwk\TutorialSuper\Exp01CE\CE.CIR ---
