Resistivity and Voltage in Intrinsic and Extrinsic Silicon Samples

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SUMMARY

The resistivity of intrinsic silicon at room temperature is 2.3 x 103 Ωm, while n-type extrinsic silicon has a resistivity of 8.33 x 10-2 Ωm. A bar of extrinsic silicon measuring 50 x 1000 mm carries a steady current of 100 μA, resulting in a voltage of 50 mV across it. When applying Ohm's Law, the voltage across an equivalent bar of intrinsic silicon can be calculated, although deviations from Ohm's Law may occur in high electric fields, known as the "hot electron" regime. For practical applications, Ohm's Law remains applicable in most scenarios.

PREREQUISITES
  • Understanding of Ohm's Law and its application in electrical circuits
  • Knowledge of semiconductor physics, particularly intrinsic and extrinsic silicon
  • Familiarity with resistivity and its implications in material science
  • Basic concepts of current flow in semiconductors
NEXT STEPS
  • Research the effects of temperature on semiconductor resistivity
  • Learn about the "hot electron" regime and its impact on semiconductor behavior
  • Explore advanced semiconductor models beyond Ohm's Law
  • Investigate practical applications of intrinsic and extrinsic silicon in electronic devices
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Electrical engineers, materials scientists, and students studying semiconductor physics will benefit from this discussion, particularly those focused on the behavior of silicon in electronic applications.

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Homework Statement



The resistivity at room temperature of intrinsic silicon is 2.3*103 Ωm and that of an "n" type extrinsic silicon sample is 8.33*10-2Ωm . A bar of this extrinsic silicon with 50*1000 mm has a steady current of 100μA across it. The voltage across the bar is found to be 50 mVolt.If the same bar is of intrinsic silicon,the voltage across the bar will be ?

Homework Equations


The Attempt at a Solution

 
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I think you forgot to fill out part 2 and 3 of the homework template. In other words: What do you know about conduction? What did you do so far? Where did you run into problems?
 
mfb said:
I think you forgot to fill out part 2 and 3 of the homework template. In other words: What do you know about conduction? What did you do so far? Where did you run into problems?

The thing is i solved the question by using ohm's law but when i asked someone they said current flow through semiconductor is not linear and it won't follow V=IR so that is why i was confused.
 
There is a point where deviations from Ohm's law appear due to collision processes caused by very high internal electric fields. This is called the "hot electron" regime. It takes some effort to get there, however, so you needn't worry about it for common and practical systems. Ohm's law works fine in general.
 

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