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4. For a silicon linearly graded junction with an impurity gradient of 5 x 10'/cm“, (a) calculate built-in potential (b) calculate depletion width Hint: Use iteration method using Eqs. 31 and 32, p. 93) given in example 3, p. 94 or Lecture 10 (Slide 25)

4. For a silicon linearly graded junction with an impurity gradient of 5 x 10'/cm“, (a) calculate built-in potential (b) calculate depletion width Hint: Use iteration method using Eqs. 31 and 32, p. 93) given in example 3, p. 94 or Lecture 10 (Slide 25)

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
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PowerPoint Presentation - Adobe Reader File Edit View Window Help 25 / 35 Tools Fill & Sign Comment Оpen 113% IT Sign In • Export PDF Example 3 (p. 94) • Create PDF v Edit PDF For a silicon linearly graded junction with an impurity gradient of 1020 cm“, calculate the depletion-layer width and the maximum field and built-in voltage (T= 300 K). Adobe Acrobat Pro Easily edit text and images in PDF documents Start Now SOLUTION To solve the transcendental equation of Eq. 32, we can use a simple numeric method to find the built-i potential Vi and the depletion layer width W simultaneously. We start with a reasonable V value, e.g., 0.3 V, to calculate W by Eq. 31. W is 0.619 µm. Then, W and a are substituted in Eq. 32 to obtain V Vi, is 0.657 V. This Vi value is substituted in Eq. 31 to obtain a new W, and in turn to calculate a new Vi- After several trials as show in the following table, we obtain the final V of 0.671 V and W of 0.809 µm. • Combine PDF • Send Files bi. • Store Files trial 1 3 4 bi (V) W (um) 0.3 0.657 0.670 0.671 0.671 0.619 0.804 0.809 0.809 0.809 qaW² E = 1.6×10-19 ×10²0 ×(0.809×10*)² = 1.24×10* V / cm 8E s 8×11.9×8.85×10-14 1/3 12ɛ,V. (aW / 2)(aW / 2) aW \ Eq (32) kT Eq (31) V¼= 2kT In 2n, W = s' bi In qa bi 2 Semiconductor Devices, 2/E by S. M. Sze Copyright © 2002 John Wiley & Sons. Inc. All rights reserved. Bhaskar L Mantha, SJSU, EE 221 25 5:57 AM Type here to search 26°C 25-Mar-22
Transcribed Image Text:PowerPoint Presentation - Adobe Reader File Edit View Window Help 25 / 35 Tools Fill & Sign Comment Оpen 113% IT Sign In • Export PDF Example 3 (p. 94) • Create PDF v Edit PDF For a silicon linearly graded junction with an impurity gradient of 1020 cm“, calculate the depletion-layer width and the maximum field and built-in voltage (T= 300 K). Adobe Acrobat Pro Easily edit text and images in PDF documents Start Now SOLUTION To solve the transcendental equation of Eq. 32, we can use a simple numeric method to find the built-i potential Vi and the depletion layer width W simultaneously. We start with a reasonable V value, e.g., 0.3 V, to calculate W by Eq. 31. W is 0.619 µm. Then, W and a are substituted in Eq. 32 to obtain V Vi, is 0.657 V. This Vi value is substituted in Eq. 31 to obtain a new W, and in turn to calculate a new Vi- After several trials as show in the following table, we obtain the final V of 0.671 V and W of 0.809 µm. • Combine PDF • Send Files bi. • Store Files trial 1 3 4 bi (V) W (um) 0.3 0.657 0.670 0.671 0.671 0.619 0.804 0.809 0.809 0.809 qaW² E = 1.6×10-19 ×10²0 ×(0.809×10*)² = 1.24×10* V / cm 8E s 8×11.9×8.85×10-14 1/3 12ɛ,V. (aW / 2)(aW / 2) aW \ Eq (32) kT Eq (31) V¼= 2kT In 2n, W = s' bi In qa bi 2 Semiconductor Devices, 2/E by S. M. Sze Copyright © 2002 John Wiley & Sons. Inc. All rights reserved. Bhaskar L Mantha, SJSU, EE 221 25 5:57 AM Type here to search 26°C 25-Mar-22
A Homework 6b 03182022.docx.pdf - Adobe Reader File Edit View Window Help Tools Fill & Sign Comment Оpen 3 176% IT Sign In • Export PDF • Create PDF v Edit PDF A. Adobe Acrobat Pro Easily edit text and images in PDF documents Start Now For a silicon linearly graded junction with an • Combine PDF impurity gradient of 5 x 101/cm“, • Send Files • Store Files (a) calculate built-in potential (b) calculate depletion width Hint: Use iteration method using Eqs. 31 and 32, p. 93) given in example 3, p. 94 or Lecture 10 (Slide 25) 9:28 AM Type here to search 28°C 24-Mar-22 --- II
Transcribed Image Text:A Homework 6b 03182022.docx.pdf - Adobe Reader File Edit View Window Help Tools Fill & Sign Comment Оpen 3 176% IT Sign In • Export PDF • Create PDF v Edit PDF A. Adobe Acrobat Pro Easily edit text and images in PDF documents Start Now For a silicon linearly graded junction with an • Combine PDF impurity gradient of 5 x 101/cm“, • Send Files • Store Files (a) calculate built-in potential (b) calculate depletion width Hint: Use iteration method using Eqs. 31 and 32, p. 93) given in example 3, p. 94 or Lecture 10 (Slide 25) 9:28 AM Type here to search 28°C 24-Mar-22 --- II
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