Please show all steps! Thanks Given: Find: Find the DC bias operating point, VDS
ID: 1814165 • Letter: P
Question
Please show all steps! Thanks
Explanation / Answer
sol)
Vg= Vdd*R2/(R1+R2) ==>oltage division rule
=5*375/(875+375) = 1.5V
Vs=0V groung
Vgs= Vg-Vs= 1.5-0=1.5
(Vgs-Vt)= 1.5-1.2=0.3 which is greater than zero hence the transistor in either sat or linear
let us asume sat Vds>= Vgs-Vt
Id=1/2 * kn' * W/L (Vgs-Vt)^2
=0.5*50micro*40/5(1.5-1.2)^2 = 8 micro A
writing KVL
Vdd -Id*Rd-Vds=0
5-8 micro *13.5k -Vds=0
Vds=4.9V
b) for transistor to be in sat Vds>=Vgs-Vt
taking min conditio Vds=Vgs-Vt= 1.5-1.2 = 0.3V
now
writing KVL
Vdd-Id*Rd-Vds=0
Rd(max)=4.7/8micro = 587.5 K ohm
the range of Rd 0 - 587.5 K ohm
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