In[]:=
eq1=IDSAT-
1
2
*mun0*Coxn*WL*((VGS-Vth)^2)*(1+lambdan*VDS)==0;​​eq2=(IRSS-(VX/RSS)==0);​​eq3=(IRD-(VDD/RD)+(VOUT/RD)==0);​​eq4=(VGS-VG+VX==0);​​eq5=(VDS-VOUT+VX==0);​​eq6=(VG-VIN==0);​​eq7=(IDSAT-IRD==0);​​eq8=(IRD-IRSS==0);​​​​eqns={eq1,eq2,eq3,eq4,eq5,eq6,eq7,eq8};​​Solve[eqns,{VOUT,IRD,IRSS,VX,VGS,VDS,VG,IDSAT}]​​
Out[]=
VOUT-
-RSSVDD+
⋯46⋯
RSS
,IRD
⋯1⋯
RSS
,IRSS
⋯1⋯
RSS
,VX
⋯1⋯
,VGS-
⋯6⋯
+2Coxnlambdanmun0RSSVthW
3(-Coxnlambdanmun0RDW-Coxnlambdanmun0RSSW)
-
⋯1⋯
⋯1⋯
+
1/3
(
⋯1⋯
)
3
⋯1⋯
2
(
⋯1⋯
)
,VDS-
-RSSVDD+RDVIN+
⋯1⋯
⋯1⋯
⋯1⋯
-RSS-
⋯6⋯
+2Coxnlambdanmun0RSSVthW
3-Coxnlambdanmun0RDW-Coxn
⋯3⋯
W
-
⋯1⋯
⋯1⋯
+
1/3

⋯1⋯

3
⋯1⋯
2

⋯1⋯

RSS
,VGVIN,IDSAT
⋯1⋯
RSS
,{
⋯1⋯
},{
⋯1⋯
}
Full expression not available
(
original memory size:
39 MB)
In[]:=
eq1=(ID==((0.5*mun0*Coxn*W/L)*((VGS-Vth)^2)*(1+lambdan*VOUT)));​​eq2=(IRD==ID);​​eq3=(IRD==(VDD-VOUT)/RD);​​​​eqnsp2={eq1,eq2,eq3};​​Solve[eqnsp2,{VOUT,IRD,ID}]​​
Out[]=
VOUT-
-
1.VDD
RD
+1.0.+
0.5Coxnmun0
2
(VGS-1.Vth)
W
L
1.
RD
+
0.5Coxnlambdanmun0
2
(VGS-1.Vth)
W
L
,IRD(1.(1.Coxnmun0
2
VGS
W+1.Coxnlambdanmun0VDD
2
VGS
W-2.Coxnmun0VGSVthW-2.Coxnlambdanmun0VDDVGSVthW+1.Coxnmun0
2
Vth
W+1.Coxnlambdanmun0VDD
2
Vth
W))(2.L+1.Coxnlambdanmun0RD
2
VGS
W-2.Coxnlambdanmun0RDVGSVthW+1.Coxnlambdanmun0RD
2
Vth
W),ID(1.(1.Coxnmun0
2
VGS
W+1.Coxnlambdanmun0VDD
2
VGS
W-2.Coxnmun0VGSVthW-2.Coxnlambdanmun0VDDVGSVthW+1.Coxnmun0
2
Vth
W+1.Coxnlambdanmun0VDD
2
Vth
W))(2.L+1.Coxnlambdanmun0RD
2
VGS
W-2.Coxnlambdanmun0RDVGSVthW+1.Coxnlambdanmun0RD
2
Vth
W)
In[]:=
​