Solving Transistor Analysis Homework: (\frac{W}{L})R_D=1.5 kΩ

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SUMMARY

The discussion centers on solving a transistor analysis homework problem involving the condition for operation at the edge of saturation, specifically the equation (\frac{W}{L})R_D=1.5 kΩ. Key parameters include k_n ^'=0.5mA/V^2, V_t=0.5 V, and \lambda =0. Participants shared their attempts to manipulate the equation \frac{1}{2}k_m ^'(\frac{W}{L})v_{OV} to derive the required condition but faced challenges. Ultimately, the original poster resolved their confusion, indicating a successful understanding of the problem.

PREREQUISITES
  • Understanding of transistor operation principles
  • Familiarity with MOSFET parameters such as k_n ^' and V_t
  • Knowledge of saturation and cutoff regions in transistor circuits
  • Ability to manipulate algebraic equations in circuit analysis
NEXT STEPS
  • Study the derivation of the saturation condition for MOSFETs
  • Learn about the impact of channel length modulation (\lambda) on transistor operation
  • Explore the significance of the overdrive voltage (v_{OV}) in transistor circuits
  • Review practical applications of transistor biasing techniques
USEFUL FOR

Students and educators in electrical engineering, particularly those focusing on semiconductor devices and circuit analysis, will benefit from this discussion.

sandy.bridge
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Homework Statement


Just started learning about transistors, and I am having difficulty doing this problem.
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The transistor in the circuit has k_n ^'=0.5mA/V^2, V_t=0.5 V, \lambda =0.
Show that operation at the edge of saturation is obtained when the following condition is satisfied
(\frac{W}{L})R_D=1.5 kΩ


The Attempt at a Solution


As far as I know, if it is operating in on the edge of saturation, then
\frac{1}{2}k_m ^'(\frac{W}{L})v_{OV}
However, when I manipulate this equation, I am unable to get to (\frac{W}{L})R_D=1.5 kΩ

Can anyone provide me some guidance on this?
 
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Thanks anyways, but I figured it out.
 
Hi, I'm bumping this old post because I am currently trying to work through the same problem but can't quite figure it out. I have the same equations that were mentioned in the original post.

Any guidance would be appreciated.
 

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