Microelectronic Circuits (the Oxford Series In Electrical And Computer Engineering)
Microelectronic Circuits (the Oxford Series In Electrical And Computer Engineering)
8th Edition
ISBN: 9780190853464
Author: Adel S. Sedra, Kenneth C. (kc) Smith, Tony Chan Carusone, Vincent Gaudet
Publisher: Oxford University Press
Question
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Chapter 7, Problem 7.1P
To determine

The Co-ordinates of active region segment AB of voltage transfer characteristics.

Expert Solution & Answer
Check Mark

Answer to Problem 7.1P

Coordinates of Point A:

  AVt,VDD=0.5 V,3 V

Coordinates of Point B:

  BVGSB,VDSB=0.69 V,0.19 V

Explanation of Solution

Given:

  Microelectronic Circuits (the Oxford Series In Electrical And Computer Engineering), Chapter 7, Problem 7.1P

Fig: NMOS amplifier

  VDD=3 VVt=0.5 Vkn=10 mAV2RD=15 kΩ

Calculation:

From the given circuit diagram, it is clear that the x coordinate of the point A is Vt and y coordinate of the point A is VDD .

  Coordinates of Point A:XCoordinate:VtYCoordinate:VDDWhere,Vt=Threshold volatge of transistor.VDD=Input DC supply

Plugging the values of Vt and VDD

  Coordinates of Point A:XCoordinate:Vt=0.5 VYCoordinate:VDD=3 VoltPoint A:0.5 V,3 V

The expression of X coordinate of the point B that is VGSB given by

  VGSB=Vt+2knRDVDD+11knRD

Plugging the values and simplifying as follows:

  VGSB=Vt+2knRDVDD+11knRDVGSB=0.5 V+2×10mAV2×15 kΩ×3 V+1110mAV2×15 kΩ=0.5+900+11150 V=0.6934 V

The expression of Y coordinate of the point B

  VDSB is given as follows:

  VDSB=VGSBVt

Plugging the resultant obtained values of VGSB and given value of Vt

to simplify further as follows:

  VDSB=VGSBVt=0.6934 V0.5 V=0.1935 V0.19 V

Conclusion:

The coordinate of point A is 0.5 V,3 V and coordinate of point B is 0.69 V,0.19 V .

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