ECEN 326
Lab6 Report
Calculations:
NPN simple circuit:
Given RE1 = RE2 = 100 Ohms, Io = 1 mA
Find RC:
1e3 = (5  0.7) / ( RC + 100) * 100 /1 00
RC = 4200 Ohms
Find Vo,min:
Vo,min = 0.2 + 1e3 * 100 = 0.3V
Find Ro:
gm2 = gm1 = 1e3 / 0.7 = 1.43e3
re1 = 1 / 1.43e3 = 700 Ohms
RB = [4200 * (700 + 100)] / [4200 + (700 + 100)] = 672 Ohms
rπ2 = 140 / 1.43e3 = 97902 Ohms
g’m2 = 1.43e3 * 97902 / (97902 + 672) = 1.42e3
R’E = [4200 * (97902 + 672)] / [4200 + (97902 + 672)] = 4028.4 Ohms
ro2 = 75 / 1e3 = 75000 Ohms
Ro = 1.42e3 * 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:
1e3 = (5  1.4) / (RC + 100) * 100/100
RC = 3500 Ohms
Find Vo,min:
Vo,min = 0.2 + 1e3 * 100 = 0.3V
Find Ro:
gm1 = 1e3 / 0.7 = 1.43e3
re1 = 1/1.43e3 = 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:
2e3 = (5  1.4) / (RC + 100) * 100 / 50
RC = 3500 Ohms
Find Vo,min:
Vo,min = 0.2 + 2e3 * 50 = 0.3V
Find Ro:
gm1 = 1e3 / 0.7 = 1.43e3
re1 = 1/1.43e3 = 700 Ohms
NMOS simple current mirror (1):
Given (W/L)1 = (W/L)2 = 17, Io = 100 uA
Find RC:
100e6 = 70e6 * 17 * (VGS1 – 1.4)^2
VGS1 = 1.11 or 1.69 V
100e6 = (5 – 1.69) / RC
RC = 33100 Ohms
Find Vo,min:
Vo,min = 1.69 – 1.4 = 0.29V
Find Ro:
Ro = 1 / (100e6 * 0.016) = 625000 Ohms
NMOS simple current mirror (2):
Given (W/L)1 = 17, (W/L)2 = 34, Io = 200 uA
Find RC:
100e6 = 70e6 * 17 * (VGS1 – 1.4)^2
VGS1 = 1.11 or 1.69 V
100e6 = (5 – 1.69) / RC
RC = 33100 Ohms
Find Vo,min:
Vo,min = 1.69 – 1.4 = 0.29V
Find Ro:
Ro = 1 / (200e6 * 0.016) = 312500 Ohms
PMOS simple current mirror:
Given (W/L)1 = (W/L)2 = 36, Io = 100e6
Find RC:
100e6 = 15e6 * 36 (VSG1 – 1.65)^2
VSG1 = 1.22 or 2.08
100e6 = (5 – 2.08) / RC
RC = 29200 Ohms
Find Vo,min:
Vo,min = 5 – (2.08 – 1.65) = 4.57 V
Find Ro:
Ro = 1 / (100e6 * 0.01) = 1000000 Ohms
NMOS cascade current mirror:
Given W/L = 17, Io = 100 uA
Find RC:
100e6 = 70e6/2 * 17 * (VGS1 – 1.4)^2
VGS1 = 0.99 or 1.81 V
100e6 = (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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