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For JFET amplifier shown below, calculate AV, Zi, Zo.
1 Answer
written 8.1 years ago by |
Step 1 – Calculate IDQ
VG=R2(R1+R2)xVDD=110(910+110)x20
∴ VG = 2.156 V
RS = 1.1k (given)
VS=IDQxRS=IDQ x 1.1k
∴VGSQ=VG−VS=(2.156−IDQ1.1k)V
Calculate IDQ:
IDQ=IDSS(1−VGSQVp)2=10mA(1+(2.156−IDQ1.1k)3.5)2
1.21x106xIDQ2−13668.2IDQ−31.99= 0
IDQ= 7.98 mA and IDQ= 3.31 mA
To avoid ohmic region, Select IDQ = 3.31 mA
∴VGSQ = 2.156 - IDQ1.1K = 2.156 – 3.31 mA x 1.1K = -1.485 V
Calculate value of gm:
gm=gmo[1−VGSVp]
gmo=(2IDSS)Vp=(2x10mA)3.5 = 5.714 mS
gm=5.714mS[1+(−1.485)3.5] = 3.2896
Obtain the value of Av:
Av=−gmRD = -3.2896 x 2.2k = -7.237
Obtain Zi and Zo:
Zi=R1||R2 = 98.137 kΩ
Zo=RD = 2.2 kΩ