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Calculate the built-in potential for a Silicon P-N junction with ND=10^16/cm3 and NA = 10^19/cm3 at 300 K. Assume ni = 10^10/cm3?
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Calculate the built-in potential for a Silicon P-N junction with ND=10...
Calculation of Built-in Potential for a Silicon P-N Junction


Given Data


  • ND = 10^16/cm3

  • NA = 10^19/cm3

  • Temperature T = 300 K

  • Intrinsic Carrier Concentration ni = 10^10/cm3



Explanation

The built-in potential for a P-N junction is the potential difference that exists across the junction when the P-type and N-type regions are brought in contact with each other. This potential barrier is due to the diffusion of the majority carriers from one side to the other and the recombination of minority carriers in the junction region.


The built-in potential is given by the equation:

Vbi = (kT/q) * ln(NA * ND / ni^2)


Where k is the Boltzmann constant, T is the temperature, q is the electronic charge, NA and ND are the doping concentrations of the P-type and N-type regions, respectively, and ni is the intrinsic carrier concentration of silicon.


Calculation

Substituting the given values in the above equation:


Vbi = (1.38 * 10^-23 * 300 / 1.6 * 10^-19) * ln(10^19 * 10^16 / 10^20)


Vbi = 0.7 V


Conclusion

The built-in potential for a Silicon P-N junction with ND=10^16/cm3 and NA = 10^19/cm3 at 300 K is 0.7 V.
Community Answer
Calculate the built-in potential for a Silicon P-N junction with ND=10...
0.9V
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Calculate the built-in potential for a Silicon P-N junction with ND=10^16/cm3 and NA = 10^19/cm3 at 300 K. Assume ni = 10^10/cm3?
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Calculate the built-in potential for a Silicon P-N junction with ND=10^16/cm3 and NA = 10^19/cm3 at 300 K. Assume ni = 10^10/cm3? for Electronics and Communication Engineering (ECE) 2024 is part of Electronics and Communication Engineering (ECE) preparation. The Question and answers have been prepared according to the Electronics and Communication Engineering (ECE) exam syllabus. Information about Calculate the built-in potential for a Silicon P-N junction with ND=10^16/cm3 and NA = 10^19/cm3 at 300 K. Assume ni = 10^10/cm3? covers all topics & solutions for Electronics and Communication Engineering (ECE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Calculate the built-in potential for a Silicon P-N junction with ND=10^16/cm3 and NA = 10^19/cm3 at 300 K. Assume ni = 10^10/cm3?.
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