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ANIL PRASAD DADI/ECE/ANITS
ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A)
Department of Electronics and Communication Engineering
ECE 125 Basic Electronics Engineering
 Academic year : 2022-23
 Class & Section : 1/4 ECE-A
 Name of the Faculty : Mr.D.Anil Prasad
UNIT-I(Semiconductor Diodes)
• Fermi level in Intrinsic & Extrinsic semiconductors. Mass-Action law.
Mobility and conductivity, Hall effect, Generation and recombination of
charges, Drift and diffusion current, Band structure of open-circuit p-n
junction, V-I characteristics, transition and diffusion capacitance, reverse
recovery time, Avalanche and zener breakdown, zener diodes, Light
Emitting Diodes.
ANIL PRASAD DADI/ECE/ANITS
Energy bands and Fermi level
ANIL PRASAD DADI/ECE/ANITS
Energy bands and Fermi level
ANIL PRASAD DADI/ECE/ANITS
 Slope of CB ,VB or intrinsic fermi level
represents electric field .
 Electric field is directed in positive
slope direction of CB or VB or intrinsic
fermi level.
PN junction
• Most semiconductor devices contain at least one junction between
p-type and n-type semiconductor regions. Semiconductor device
characteristics and operation are connected to these PN junction
• Applications of semiconductor devices
– Rectification
– Switching
– Amplification
ANIL PRASAD DADI/ECE/ANITS
PN junction in thermal equilibrium
• Before PN junction is formed n-region has a large concentration of
electron and few holes. P-region has a large concentration of holes
and few electrons
ANIL PRASAD DADI/ECE/ANITS
PN junction in thermal equilibrium
• After joining the two regions diffusion of charge carriers takes place at the
junction because of large concentration gradient.
• Due to concentration gradient holes diffuse from p-side into n-side and
electrons diffuse from n-side into p-side
ANIL PRASAD DADI/ECE/ANITS
• Holes leaving the p-region leave behind
uncompensated acceptor ions in the p-
region and Electrons diffusing from n-
side to p-side leave behind
uncompensated donar ions in the n-
region as shown in fig.
PN junction in thermal equilibrium
• Positive space charge near n-side of junction and negative space charge
near p-side of junction is formed shown in fig.
• The resulting diffusion current cannot build up indefinitely. Because of the
development of space charge an internal Electric field is created at junction
ANIL PRASAD DADI/ECE/ANITS
• Positive space charge near n-side of
junction and negative space charge near
p-side of junction is formed shown in fig.
• The resulting diffusion current cannot
build up indefinitely. Because of the
development of space charge an internal
Electric field is created at junction
PN junction in thermal equilibrium
• Electric field creates drift component of current from n to p opposing
diffusing current.
• Since No net current can flow across the junction at equilibrium the
current due to drift of carriers in the electric field must exactly cancel
the diffusion current.
ANIL PRASAD DADI/ECE/ANITS
PN junction in thermal equilibrium
In an open circuited
device the drift
hole(electron) current
must be equal and
opposite to the
diffusion hole
(electron) current so
that the net
hole(electron) current
is zero.
ANIL PRASAD DADI/ECE/ANITS
Depletion width and charge density
Under equilibrium
• The amount of uncovered
negative charge on the left
hand side of the junction must
be equal to the amount of
positive charge on the right
hand side of the metalurgical
junction. Overall space-charge
neutrality condition;
• The higher doped side of the
junction has the narrower
depletion width
A p D n
N x N x

𝑊 = 𝑥𝑝 + 𝑥𝑛
ANIL PRASAD DADI/ECE/ANITS
Electric field and Built-in-potential
ANIL PRASAD DADI/ECE/ANITS
Contd…
• Electric field
The built-in potential is
given by area enclosed
by the electric field curve
i.e
by Guass law
𝑉𝑏𝑖 =
1
2
𝐸𝑚(𝑥𝑝 + 𝑥𝑛)
𝑥𝑝
𝑥𝑛
=
𝑁𝑑
𝑁𝑎
𝐸𝑚
𝑥𝑛
=
𝑞𝑁𝑑
𝜀
𝑉𝑏𝑖 =
1
2
𝐸𝑚
𝑁𝑑
𝑁𝑎
+ 1 𝑥𝑛
area = 𝑉𝑏𝑖
ANIL PRASAD DADI/ECE/ANITS
Contd…
𝑉𝑏𝑖 =
1
2
𝜀𝐸𝑚
2
𝑞𝑁𝑑
𝑁𝑑
𝑁𝑎
+ 1
𝑉𝑏𝑖 =
1
2
𝐸𝑚
𝑁𝑑
𝑁𝑎
+ 1
𝜀𝐸𝑚
𝑞𝑁𝑑
𝑉𝑏𝑖 =
1
2
𝜀𝐸𝑚
2
𝑞
1
𝑁𝑎
+
1
𝑁𝑑
𝐸𝑚 =
2𝑞𝑉𝑏𝑖
𝜀
1
𝑁𝑎
+
1
𝑁𝑑
ANIL PRASAD DADI/ECE/ANITS
Contd…
• Width of depletion region(Wd)
The built-in potential is given by area enclosed by the electric field curve
i.e 𝑉𝑏𝑖 =
1
2
𝐸𝑚(𝑥𝑝 + 𝑥𝑛)
𝑉𝑏𝑖 =
1
2
𝐸𝑚𝑊𝑑
𝑊𝑑 = 2
𝑉𝑏𝑖
𝐸𝑚
𝑊𝑑 =
2𝜀𝑉𝑏𝑖
𝑞
1
𝑁𝑎
+
1
𝑁𝑑
𝑥𝑛 =
1
𝑁𝑑
2𝜀𝑉𝑏𝑖𝑁𝑎𝑁𝑑
𝑞(𝑁𝑎 + 𝑁𝑑)
ANIL PRASAD DADI/ECE/ANITS
Energy level diagram for the Built-in voltage
ANIL PRASAD DADI/ECE/ANITS
Built-in Potential(Vbi)
𝑉𝑏𝑖 = 𝑉
𝑝 + 𝑉
𝑛
𝑛0 = 𝑁𝑐 exp
−(𝐸𝑐 − 𝐸𝐹)
𝐾𝑇
𝑛0 = 𝑛𝑖 exp
(𝐸𝐹 − 𝐸𝑖)
𝐾𝑇
𝑞𝑉
𝑛 = 𝐸𝐹 − 𝐸𝑖
𝑛0 = 𝑛𝑖 exp
(𝑞𝑉
𝑛)
𝐾𝑇
𝑉
𝑛 =
𝐾𝑇
𝑞
ln
𝑛0
𝑛𝑖
𝑉
𝑛 =
𝐾𝑇
𝑞
ln
𝑁𝐷
𝑛𝑖
𝑝0 = 𝑁𝑣 exp
−(𝐸𝐹 − 𝐸𝑉)
𝐾𝑇
𝑝0 = 𝑛𝑖 exp
(𝐸𝑖 − 𝐸𝐹)
𝐾𝑇
𝑞𝑉
𝑝 = 𝐸𝑖 − 𝐸𝐹
𝑝0 = 𝑛𝑖 exp
(𝑞𝑉
𝑝)
𝐾𝑇
𝑉
𝑝 =
𝐾𝑇
𝑞
ln
𝑝0
𝑛𝑖
𝑉
𝑝 =
𝐾𝑇
𝑞
ln
𝑁𝐴
𝑛𝑖
ANIL PRASAD DADI/ECE/ANITS
Built-in Potential(Vbi)
𝑉𝑏𝑖 = 𝑉
𝑝 + 𝑉
𝑛
𝑉𝑏𝑖 =
𝐾𝑇
𝑞
ln
𝑁𝐴𝑁𝐷
𝑛𝑖
2
𝑉𝑏𝑖 =
𝐾𝑇
𝑞
ln
𝑁𝐴
𝑛𝑖
+
𝐾𝑇
𝑞
ln
𝑁𝐷
𝑛𝑖
ANIL PRASAD DADI/ECE/ANITS
𝑉𝑏𝑖 = 𝑉𝑇 ln
𝑁𝐴𝑁𝐷
𝑛𝑖
2
Forward bias(VD>0)
ANIL PRASAD DADI/ECE/ANITS
Reverse bias(VD<0)
ANIL PRASAD DADI/ECE/ANITS
Applying bias to pn junction
ANIL PRASAD DADI/ECE/ANITS
Abrupt PN Junction
heavily doped p-type
ANIL PRASAD DADI/ECE/ANITS
The experimental I-V characteristic of a Si diode
ANIL PRASAD DADI/ECE/ANITS
𝐼 = 𝐼0 𝑒𝑉/𝑉𝑇 − 1
References
ANIL PRASAD DADI/ECE/ANITS
• Robert L Boylestad, Electronic Devices And Circuit Theory, Prentice Hall,
seventh edition,2021
• Jacob Millman and Christos Halkias, Electronics Devices and Circuits, Black
edition, October,2017
Thank you
for listening

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UNIT-I_PN_junction.pptx

  • 1. ANIL PRASAD DADI/ECE/ANITS ANIL NEERUKONDA INSTITUTE OF TECHNOLOGY & SCIENCES(A) Department of Electronics and Communication Engineering ECE 125 Basic Electronics Engineering  Academic year : 2022-23  Class & Section : 1/4 ECE-A  Name of the Faculty : Mr.D.Anil Prasad
  • 2. UNIT-I(Semiconductor Diodes) • Fermi level in Intrinsic & Extrinsic semiconductors. Mass-Action law. Mobility and conductivity, Hall effect, Generation and recombination of charges, Drift and diffusion current, Band structure of open-circuit p-n junction, V-I characteristics, transition and diffusion capacitance, reverse recovery time, Avalanche and zener breakdown, zener diodes, Light Emitting Diodes. ANIL PRASAD DADI/ECE/ANITS
  • 3. Energy bands and Fermi level ANIL PRASAD DADI/ECE/ANITS
  • 4. Energy bands and Fermi level ANIL PRASAD DADI/ECE/ANITS  Slope of CB ,VB or intrinsic fermi level represents electric field .  Electric field is directed in positive slope direction of CB or VB or intrinsic fermi level.
  • 5. PN junction • Most semiconductor devices contain at least one junction between p-type and n-type semiconductor regions. Semiconductor device characteristics and operation are connected to these PN junction • Applications of semiconductor devices – Rectification – Switching – Amplification ANIL PRASAD DADI/ECE/ANITS
  • 6. PN junction in thermal equilibrium • Before PN junction is formed n-region has a large concentration of electron and few holes. P-region has a large concentration of holes and few electrons ANIL PRASAD DADI/ECE/ANITS
  • 7. PN junction in thermal equilibrium • After joining the two regions diffusion of charge carriers takes place at the junction because of large concentration gradient. • Due to concentration gradient holes diffuse from p-side into n-side and electrons diffuse from n-side into p-side ANIL PRASAD DADI/ECE/ANITS • Holes leaving the p-region leave behind uncompensated acceptor ions in the p- region and Electrons diffusing from n- side to p-side leave behind uncompensated donar ions in the n- region as shown in fig.
  • 8. PN junction in thermal equilibrium • Positive space charge near n-side of junction and negative space charge near p-side of junction is formed shown in fig. • The resulting diffusion current cannot build up indefinitely. Because of the development of space charge an internal Electric field is created at junction ANIL PRASAD DADI/ECE/ANITS • Positive space charge near n-side of junction and negative space charge near p-side of junction is formed shown in fig. • The resulting diffusion current cannot build up indefinitely. Because of the development of space charge an internal Electric field is created at junction
  • 9. PN junction in thermal equilibrium • Electric field creates drift component of current from n to p opposing diffusing current. • Since No net current can flow across the junction at equilibrium the current due to drift of carriers in the electric field must exactly cancel the diffusion current. ANIL PRASAD DADI/ECE/ANITS
  • 10. PN junction in thermal equilibrium In an open circuited device the drift hole(electron) current must be equal and opposite to the diffusion hole (electron) current so that the net hole(electron) current is zero. ANIL PRASAD DADI/ECE/ANITS
  • 11. Depletion width and charge density Under equilibrium • The amount of uncovered negative charge on the left hand side of the junction must be equal to the amount of positive charge on the right hand side of the metalurgical junction. Overall space-charge neutrality condition; • The higher doped side of the junction has the narrower depletion width A p D n N x N x  𝑊 = 𝑥𝑝 + 𝑥𝑛 ANIL PRASAD DADI/ECE/ANITS
  • 12. Electric field and Built-in-potential ANIL PRASAD DADI/ECE/ANITS
  • 13. Contd… • Electric field The built-in potential is given by area enclosed by the electric field curve i.e by Guass law 𝑉𝑏𝑖 = 1 2 𝐸𝑚(𝑥𝑝 + 𝑥𝑛) 𝑥𝑝 𝑥𝑛 = 𝑁𝑑 𝑁𝑎 𝐸𝑚 𝑥𝑛 = 𝑞𝑁𝑑 𝜀 𝑉𝑏𝑖 = 1 2 𝐸𝑚 𝑁𝑑 𝑁𝑎 + 1 𝑥𝑛 area = 𝑉𝑏𝑖 ANIL PRASAD DADI/ECE/ANITS
  • 14. Contd… 𝑉𝑏𝑖 = 1 2 𝜀𝐸𝑚 2 𝑞𝑁𝑑 𝑁𝑑 𝑁𝑎 + 1 𝑉𝑏𝑖 = 1 2 𝐸𝑚 𝑁𝑑 𝑁𝑎 + 1 𝜀𝐸𝑚 𝑞𝑁𝑑 𝑉𝑏𝑖 = 1 2 𝜀𝐸𝑚 2 𝑞 1 𝑁𝑎 + 1 𝑁𝑑 𝐸𝑚 = 2𝑞𝑉𝑏𝑖 𝜀 1 𝑁𝑎 + 1 𝑁𝑑 ANIL PRASAD DADI/ECE/ANITS
  • 15. Contd… • Width of depletion region(Wd) The built-in potential is given by area enclosed by the electric field curve i.e 𝑉𝑏𝑖 = 1 2 𝐸𝑚(𝑥𝑝 + 𝑥𝑛) 𝑉𝑏𝑖 = 1 2 𝐸𝑚𝑊𝑑 𝑊𝑑 = 2 𝑉𝑏𝑖 𝐸𝑚 𝑊𝑑 = 2𝜀𝑉𝑏𝑖 𝑞 1 𝑁𝑎 + 1 𝑁𝑑 𝑥𝑛 = 1 𝑁𝑑 2𝜀𝑉𝑏𝑖𝑁𝑎𝑁𝑑 𝑞(𝑁𝑎 + 𝑁𝑑) ANIL PRASAD DADI/ECE/ANITS
  • 16. Energy level diagram for the Built-in voltage ANIL PRASAD DADI/ECE/ANITS
  • 17. Built-in Potential(Vbi) 𝑉𝑏𝑖 = 𝑉 𝑝 + 𝑉 𝑛 𝑛0 = 𝑁𝑐 exp −(𝐸𝑐 − 𝐸𝐹) 𝐾𝑇 𝑛0 = 𝑛𝑖 exp (𝐸𝐹 − 𝐸𝑖) 𝐾𝑇 𝑞𝑉 𝑛 = 𝐸𝐹 − 𝐸𝑖 𝑛0 = 𝑛𝑖 exp (𝑞𝑉 𝑛) 𝐾𝑇 𝑉 𝑛 = 𝐾𝑇 𝑞 ln 𝑛0 𝑛𝑖 𝑉 𝑛 = 𝐾𝑇 𝑞 ln 𝑁𝐷 𝑛𝑖 𝑝0 = 𝑁𝑣 exp −(𝐸𝐹 − 𝐸𝑉) 𝐾𝑇 𝑝0 = 𝑛𝑖 exp (𝐸𝑖 − 𝐸𝐹) 𝐾𝑇 𝑞𝑉 𝑝 = 𝐸𝑖 − 𝐸𝐹 𝑝0 = 𝑛𝑖 exp (𝑞𝑉 𝑝) 𝐾𝑇 𝑉 𝑝 = 𝐾𝑇 𝑞 ln 𝑝0 𝑛𝑖 𝑉 𝑝 = 𝐾𝑇 𝑞 ln 𝑁𝐴 𝑛𝑖 ANIL PRASAD DADI/ECE/ANITS
  • 18. Built-in Potential(Vbi) 𝑉𝑏𝑖 = 𝑉 𝑝 + 𝑉 𝑛 𝑉𝑏𝑖 = 𝐾𝑇 𝑞 ln 𝑁𝐴𝑁𝐷 𝑛𝑖 2 𝑉𝑏𝑖 = 𝐾𝑇 𝑞 ln 𝑁𝐴 𝑛𝑖 + 𝐾𝑇 𝑞 ln 𝑁𝐷 𝑛𝑖 ANIL PRASAD DADI/ECE/ANITS 𝑉𝑏𝑖 = 𝑉𝑇 ln 𝑁𝐴𝑁𝐷 𝑛𝑖 2
  • 21. Applying bias to pn junction ANIL PRASAD DADI/ECE/ANITS
  • 22. Abrupt PN Junction heavily doped p-type ANIL PRASAD DADI/ECE/ANITS
  • 23. The experimental I-V characteristic of a Si diode ANIL PRASAD DADI/ECE/ANITS 𝐼 = 𝐼0 𝑒𝑉/𝑉𝑇 − 1
  • 24. References ANIL PRASAD DADI/ECE/ANITS • Robert L Boylestad, Electronic Devices And Circuit Theory, Prentice Hall, seventh edition,2021 • Jacob Millman and Christos Halkias, Electronics Devices and Circuits, Black edition, October,2017