Electron Devices: Chapter 5: Field Effect Transistors

Drain Current Equation of JFET

Question: 1. Write the equation for drain current of JFET.

Current Equation

• In a transfer characteristics we have seen that the relationship between the drain current ID and gate to source voltage VGS is non‒linear. This relationship is defined by Shockley's equation


          ……….. (5.8.1)

• The squared term of the equation will result in a non‒linear relationship between ID and VGS producing a curve that grows exponentially with decreasing magnitudes of VGS.

• In equation (5.8.1) ID represents saturation drain current. IDSS is the value of ID when VGS = 0, and VP is the pinch‒off voltage. Differentiating this expression we get,


      …………..(5.8.2)

• From expression (5.8.1) we also have,


      ………… (5.8.3)

• Substituting this value in equation (5.8.2) we have,


        ………. (5.8.4)

• When VGS = 0, gm = gmo then from equation (5.8.2).

gm = ‒2IDSS / VP


        ………. (5.8.5)

• Therefore, from equations (5.8.2) and (5.8.5)


          ………. (5.8.6)

• The equation (5.8.4) shows that gm varies as the square root of the saturation current ID and equation (5.8.4) shows that gm decreases linearly with increase of VGS.

 

Review Question

1. Write the equation for drain current of JFET.

 

Electron Devices: Chapter 5: Field Effect Transistors : Tag: electronics : - Drain Current Equation of JFET


Electron Devices: Chapter 5: Field Effect Transistors



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