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For JFET amplifier shown below, calculate AV, Zi, Zo.
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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=VGVS=(2.156IDQ1.1k)V

Calculate IDQ:

IDQ=IDSS(1VGSQVp)2=10mA(1+(2.156IDQ1.1k)3.5)2

1.21x106xIDQ213668.2IDQ31.99= 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[1VGSVp]

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

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