(a) Figure 2 shows the energy band diagrams of an n- and p-type silicon before contact. Detemine the contact potential of the resultant p-n junction, and the depletion width at themal equilibrium. Given N. = 2.8 x 1019 /cm³ , N, = 1.04 x 1019 /cm³ , ɛ, = 11.8 x 8.85 x 10-14 F/cm, E, = 1.12 eV, and e = 1.6 x 10-19 C. - Ec 0.21 ev 0.24 ev Ey Ey Figure 2

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Question 3
(a) Figure 2 shows the energy band diagrams of an n- and p-type silicon before contact.
Determine the contact potential of the resultant p-n junction, and the depletion width at
thermal equilibrium. Given Ne = 2.8× 101º /cm³ , N, = 1.04 × 1019 /cm³ , &, =
11.8 x 8.85 x 10-14 F/cm, Eg = 1.12 eV, and e = 1.6 x 10-19C.
- Ec
† 021 eV
0.24 ev
- EF
- Ey
Ey -
Figure 2
(b) Boron is implanted into an n-type Si (Na = 1 × 1016 cm-³) to form an abrupt pn junction.
The p-type region dopant concentration is Na = 4 × 101º cm¯3. Given the cross sectional
area of the diode is 2 × 10-³ cm², n̟ = 1.5 × 101º cm-³, ɛ, = 11.8 x 8.85 x 10-14 F/
cm, and e = 1.6 x 10-19 C.
Determine the build-in potential (Vbj), space charge width (Xp, Xp), space charge (Q) and
electric field (E) at equilibrium. Draw the sketch of charge density and E(x) as a function
of the distance, x.
Transcribed Image Text:Question 3 (a) Figure 2 shows the energy band diagrams of an n- and p-type silicon before contact. Determine the contact potential of the resultant p-n junction, and the depletion width at thermal equilibrium. Given Ne = 2.8× 101º /cm³ , N, = 1.04 × 1019 /cm³ , &, = 11.8 x 8.85 x 10-14 F/cm, Eg = 1.12 eV, and e = 1.6 x 10-19C. - Ec † 021 eV 0.24 ev - EF - Ey Ey - Figure 2 (b) Boron is implanted into an n-type Si (Na = 1 × 1016 cm-³) to form an abrupt pn junction. The p-type region dopant concentration is Na = 4 × 101º cm¯3. Given the cross sectional area of the diode is 2 × 10-³ cm², n̟ = 1.5 × 101º cm-³, ɛ, = 11.8 x 8.85 x 10-14 F/ cm, and e = 1.6 x 10-19 C. Determine the build-in potential (Vbj), space charge width (Xp, Xp), space charge (Q) and electric field (E) at equilibrium. Draw the sketch of charge density and E(x) as a function of the distance, x.
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