These pages are meant  mainly for engineering students studying in second year( Mumbai university only). If you are from some other university then confirm with your professors whether these formulae/methods are valid for your university.

# Design of single stage JFET amplifier

1: Design for device parameter variations
2: Design for midpoint biasing
3: Design for Zero thermal drift
4: Graphical methord

[Do not write text included in square bracket  ]

## Type 1:Design against device parameter variations

### Step1: Selection of biasing circuit

We select voltage divider bias circuit as it provides stable quiescent point against device parameter variations

[Draw the figure] ### Step 2:Selection of Idq

Given Id min & Id max
Idq = (Idmin + Id max)/2

### Step 3: Selection of Vgsq

Id = Idss * sqr(1- (Vgs/Vp))

Vgs = Vp *  (1 - sqrt(Id/Idss))

Calculate Vgs max  by substituting Vp max, Id max & Idss max inVgs
Similarly calculate Vgs min

Vgsq = (Vgs max + Vgs min)/2

### Step 4: Selection of Rs

Rs = (mod(Vgs max) - mod(Vgs min))/(Idq max - Idq min)

### Step 5: Selection of Rd

gm = gmo(1 - (Vgs/Vp typ))

Gain of JFET amplifier, mod(Av) = gm * RL'

If RL is given
RL' = (rd) parallel (Rd) parallel (RL)

If RL is not given
assume RL = infinity
RL' = (rd) parallel (Rd)

Calculate Rd from above

[If required gain(Av) is greater than a specified value, select higher std value]

[If required gain(Av) is equal to a specified value, select nearest standard value]

### Step 6: Selection of Vdsq

#### Case 1: Vo is given & Vdd is not given

Providing 15% margin we get
Vdsq = 1.15 * (mod(Vp typ) + Vo peak)

#### Case 2: Vo is not given & Vdd is given

Vdsq = (mod(Vp typ) + Vdd)/2

#### Case3: Vo is not given & Vdd is not given

Assume Vo = 1.5 V
Vdsq = 1.15 * (mod(Vp typ) + Vo peak)

### Step 7: Selection of Vdd

Vdd = Idq * (Rd + Rs) + Vdsq
Select higher std value

### Step 8: Selection of R1 & R2

Vg = (Idq * Rs) + Vgsq

Also
Vg = Vdd * R2/(R1 + R2)
[Find R1 in terms of R2 & assume R2 = 1 M ohm & calculate R1]

### Step 9: Selection of coupling capacitors

[Select higher standard value for all capacitors]

#### Selection of Cg:

[FL = lower cutoff frequency.AssumeFL = 20 Hz (For all capacitors)if not specified. Voltage ratings of capacitors > Vdd]

Xcg = (R1) parallel (R2)
Cg = 1/(2 * pi * FL * Xcg)

#### Selection of Cd:

Xcd = (rd) parallel (Rd) + RL
Hence Cd = 1/(2 * pi * FL * Xcd)
If RL is not specified, assume RL = Ri = (R1) parallel (R2)

#### Selection of Cs:

Xcs = (Rs) parallel (1/gm)
Cg = 1/(2 * pi * FL * Xcs)

[Draw the figure with designed values]

## Type 2: Design For midpoint biasing

We use only typical values for midpoint biasing

### Step1: Selection of biasing circuit

We use self bias circuit

[Draw the figure] Idq = Idss typ/2

### Step 3: Selection of Vgsq

Idq = Idss typ * sqr(1- (Vgsq/Vp typ))
Hence
Vgsq = Vp typ *  (1 - sqrt(Idq/Idss typ))

### Step 4: Selection of Rs

Rs = (mod(Vgsq)/(Idq)

### Step 5: Selection of Rd

gm = gmo(1 - (Vgsq/Vp typ))

Gain of JFET amplifier, mod(Av) = gm * RL'

If RL is given
RL' = (rd) parallel (Rd) parallel (RL)

If RL is not given
assume RL = infinity
RL' = (rd) parallel (Rd)

[Calculate Rd from above, Select higher standard value]

[If required gain(Av) is greater than a specified value, select higher std value]

[If required gain(Av) is equal to a specified value, select nearest standard value]

### Step 6: Selection of Vdsq

#### Case 1: Vo is given & Vdd is not given

Providing 15% margin we get
Vdsq = 1.15 * (mod(Vp typ) + Vo peak)

#### Case 2: Vo is not given & Vdd is given

Vdsq = (mod(Vp typ) + Vdd)/2

#### Case3: Vo is not given & Vdd is not given

Assume Vo = 1.5 V
Vdsq = 1.15 * (mod(Vp typ) + Vo peak)

### Step 7: Selection of Vdd

Vdd = Idq * (Rd + Rs) + Vdsq
Select higher std value

### Step 8: Selection of Rg

Assume Rg = 1 M ohm

### Step 9: Selection of coupling capacitors

[Select higher standard value for all capacitors]

#### Selection of Cg:

[FL = lower cutoff frequency.AssumeFL = 20 Hz (For all capacitors)if not specified. Voltage ratings of capacitors > Vdd]

Xcg = (Rg)
Cg = 1/(2 * pi * FL * Xcg)

#### Selection of Cd:

Xcd = (rd) parallel (Rd) + RL
If RL is not specified, assume RL = Ri = (R1) parallel (R2)

#### Selection of Cs:

Xcs = (Rs) parallel (1/gm)
Cg = 1/(2 * pi * FL * Xcs)

[Draw the circuit with designed values]

## Type 3: Design for zero thermal drift

### Step 1: Selection of biasing circuit

[Draw the figure] ### Step 2: Selection of Vgsq

mod(Vp typ) - mod(Vgsq) = 0.63V
Calculate Vgsq

### Step 3: Selection of Idq

Idq = Idss typ * sqr(1 - ( Vgsq/Vptyp)

### Step 4: Selection of Rs

Vgsq = - Idq * Rs
hence
Rs = mod(Vgsq/Idq)
[Select nearest std value]

### Step 5: Selection of Rd

gm = gmo(1 - (Vgsq/Vp typ))

Gain of JFET amplifier, mod(Av) = gm * RL'

If RL is given
RL' = (rd) parallel (Rd) parallel (RL)

If RL is not given
assume RL = infinity
RL' = (rd) parallel (Rd)

[Calculate Rd from above, Select higher standard value]

[If required gain(Av) is greater than a specified value, select higher std value]

[If required gain(Av) is equal to a specified value, select nearest standard value]

### Step 6: Selection of Vdsq

Providing 15% margin we get
Vdsq = 1.15 * (mod(Vp typ) + Vo peak)

### Step 7: Selection of Vdd

Vdd = Idq * (Rd + Rs) + Vdsq
Select higher std value

### Step 8: Selection of Rg

Assume Rg = 1 M ohm

### Step 9: Selection of coupling capacitors

[Select higher standard value for all capacitors]

#### Selection of Cg:

[FL = lower cutoff frequency.AssumeFL = 20 Hz (For all capacitors)if not specified. Voltage ratings of capacitors > Vdd]

Xcg = (Rg)
Cg = 1/(2 * pi * FL * Xcg)

#### Selection of Cd:

Xcd = (rd) parallel (Rd) + RL
If RL is not specified, assume RL = Ri = (R1) parallel (R2)

#### Selection of Cs:

Xcs = (Rs) parallel (1/gm)
Cg = 1/(2 * pi * FL * Xcs)

[Draw the circuit with designed values]

## Graphical method

[In graphical methord draw the graph of Ids against Vds [Values given in data sheet.You will be given the value/s of or range of Ids  (2 values(max or min) or range of values for device parameter variation & single value(typ) for other methods)]

[Plot the required value/s of Vgs & find Vgsq & continue with the usual method. The answers in the 2 methods will differ a lot for the same problem. For device parameter variation use max & min curve to calculate Vgs max & min resp. For other methods use typ curve unless mentioned otherwise ]