ECEN 326 Lab6 Report
ECEN 326
Lab6 Report
Calculations:
NPN simple circuit:
Given RE1 = RE2 = 100 Ohms, Io = 1 mA
Find RC:
1e-3 = (5 - 0.7) / ( RC + 100) * 100 /1 00
RC = 4200 Ohms
Find Vo,min:
Vo,min = 0.2 + 1e-3 * 100 = 0.3V
Find Ro:
gm2 = gm1 = 1e-3 / 0.7 = 1.43e-3
re1 = 1 / 1.43e-3 = 700 Ohms
RB = [4200 * (700 + 100)] / [4200 + (700 + 100)] = 672 Ohms
rπ2 = 140 / 1.43e-3 = 97902 Ohms
g’m2 = 1.43e-3 * 97902 / (97902 + 672) = 1.42e-3
R’E = [4200 * (97902 + 672)] / [4200 + (97902 + 672)] = 4028.4 Ohms
ro2 = 75 / 1e-3 = 75000 Ohms
Ro = 1.42e-3 * 75000 * 4028.4 + 75000 + 4028.4 = 508053 Ohms
NPN simple current mirror with beta helper (1):
Given RE1 = RE2 = 100 Ohms
Io = 1 mA
Find RC:
1e-3 = (5 - 1.4) / (RC + 100) * 100/100
RC = 3500 Ohms
Find Vo,min:
Vo,min = 0.2 + 1e-3 * 100 = 0.3V
Find Ro:
gm1 = 1e-3 / 0.7 = 1.43e-3
re1 = 1/1.43e-3 = 700 Ohms
RB = [(3500/(140+1)+(140+1)*700/2)*((700+100)/140*(1+(140+1)^2*700/(2*3500)))*((140+1)*(700+100))]/ [(3500/(140+1)+(140+1)*700/2)+((700+100)/140*(1+(140+1)^2*700/(2*3500)))+((140+1)*(700+100))]
RB =
NPN simple current mirror with beta helper (2):
Given RE1 = 100 Ohms, RE2 = 50 Ohms
Io = 2 mA
Find RC:
2e-3 = (5 - 1.4) / (RC + 100) * 100 / 50
RC = 3500 Ohms
Find Vo,min:
Vo,min = 0.2 + 2e-3 * 50 = 0.3V
Find Ro:
gm1 = 1e-3 / 0.7 = 1.43e-3
re1 = 1/1.43e-3 = 700 Ohms
NMOS simple current mirror (1):
Given (W/L)1 = (W/L)2 = 17, Io = 100 uA
Find RC:
100e-6 = 70e-6 * 17 * (VGS1 – 1.4)^2
VGS1 = 1.11 or 1.69 V
100e-6 = (5 – 1.69) / RC
RC = 33100 Ohms
Find Vo,min:
Vo,min = 1.69 – 1.4 = 0.29V
Find Ro:
Ro = 1 / (100e-6 * 0.016) = 625000 Ohms
NMOS simple current mirror (2):
Given (W/L)1 = 17, (W/L)2 = 34, Io = 200 uA
Find RC:
100e-6 = 70e-6 * 17 * (VGS1 – 1.4)^2
VGS1 = 1.11 or 1.69 V
100e-6 = (5 – 1.69) / RC
RC = 33100 Ohms
Find Vo,min:
Vo,min = 1.69 – 1.4 = 0.29V
Find Ro:
Ro = 1 / (200e-6 * 0.016) = 312500 Ohms
PMOS simple current mirror:
Given (W/L)1 = (W/L)2 = 36, Io = 100e-6
Find RC:
100e-6 = 15e-6 * 36 (VSG1 – 1.65)^2
VSG1 = 1.22 or 2.08
100e-6 = (5 – 2.08) / RC
RC = 29200 Ohms
Find Vo,min:
Vo,min = 5 – (2.08 – 1.65) = 4.57 V
Find Ro:
Ro = 1 / (100e-6 * 0.01) = 1000000 Ohms
NMOS cascade current mirror:
Given W/L = 17, Io = 100 uA
Find RC:
100e-6 = 70e-6/2 * 17 * (VGS1 – 1.4)^2
VGS1 = 0.99 or 1.81 V
100e-6 = (2*5 – 2*1.81) / RC
RC = 63800 Ohms
Find Vo,min:
-5 + 1.81 + Vov1 = -5 + 2Vov1 + 1.4
Vov1 = 0.41 V
Vo,min = -5 + 1.81 + 0.41 = -2.78 V
Simulations:
Schematics:
NPN Simple Current Mirror:
NPN Simple Current Mirror with β Helper:
NMOS Simple Current Mirror:
PMOS Simple Current Mirror:
NMOS Cascode Current Mirror:
DC sweep:
NPN simple circuit:
NPN simple current mirror with beta helper:
NMOS simple current mirror:
PMOS simple current mirror:
NMOS cascode current mirror:
Output Resistance:
NPN simple circuit:
NPN Simple Current Mirror with β Helper:
NMOS Simple Current Mirror:
PMOS Simple Current Mirror:
NMOS Cascode Current Mirror:
Measurements:
Io:
NPN Simple Current Mirror:
Io = 102 mV / 100 Ohms = 1.02 mA
NPN Simple Current Mirror with β Helper:
Io = 94 mV / 100 Ohms = 0.94 mA
NPN Simple Current Mirror with β Helper(2):
Io = 85 mV / 50 Ohms = 1.7 mA
NMOS Simple Current Mirror:
Io = 3.2 V / 33100 Ohms = 96.7 uA
PMOS Simple Current Mirror:
Io = 3.35 V / 29500 Ohms = 113.6 uA
NMOS Cascode Current Mirror:
Io = 6.255 V / 63800 Ohms = 98.0 uA
Conclusion:
Calculations |
Simulations |
Measurements | |
Io(a) |
1 mA |
1 mA |
1.02 mA |
Io(b) |
1 mA |
1 mA |
0.94 mA |
Io(c) |
2 mA |
2 mA |
1.7 mA |
Io(d) |
100 uA |
100 uA |
96.7 uA |
Io(f) |
100 uA |
100 uA |
113.6 uA |
Io(g) |
100 uA |
100 uA |
98.0 uA |
Ro(a) |
508k |
350k | |
Ro(b) |
350k | ||
Ro(c) |
625k |
170k | |
Ro(d) |
312k |
350k | |
Ro(f) |
1000k |
750k | |
Ro(g) |
70M | ||
Vo(a) |
0.3 V |
0.3 V |
0.25 V |
Vo(b) |
0.3 V |
0.3 V |
0.25 V |
Vo(c) |
0.3 V |
0.3 V |
0.25 V |
Vo(d) |
0.3 V |
0.3 V |
0.3 V |
Vo(f) |
4.57 V |
4.45 V |
4.55 V |
Vo(g) |
-2.78 V |
-3 V |
-3.1 V |
In conclusion, the results from measurements matched with simulations and calculations, but I do have trouble in determine the method of measuring output resistance, since the introduction from lab introduction doesn’t work.
hihi
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