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PN Junction
4.1.1. Current-Voltage
Characteristic of the Ideal Diode
• ideal diode – most fundamental
nonlinear circuit element
• two terminal device
• circuit symbol shown to right
• operates in two modes
• on and off
Figure 4.1: Diode characteristics
4.1.1. Current-Voltage
Characteristic
• cathode – negative terminal, from which current flows
• anode – positive terminal of diode, into which current flows
• voltage-current (VI) behavior is:
• piecewise linear for rated values
• nonlinear beyond this range
4.1.1: Current-Voltage
Characteristic of the Ideal Diode
• ideal diode: is most fundament
nonlinear circuit element
• two terminal device with
circuit symbol to right
• operates in two modes
forward and reverse bias
mode #1:
forward bias =
short ckt
mode #2:
reverse bias =
open ckt.
device symbol with
two nodes
4.1.1. Current-Voltage
Characteristic
• External circuit should be
designed to limit…
• current flow across
conducting diode
• voltage across blocking diode
• Examples are shown to right…
Figure 4.2: The two modes of
operation of ideal diodes and the
use of an external circuit to limit
(a) the forward current and
(b) the reverse voltage.
4.1.2: A Simple Application – The Rectifier
• One fundamental application of
this piecewise linear behavior is
the rectifier.
• Q: What is a rectifier?
• A: Circuit which converts AC
waves in to DC…ideally with
no loss.
Figure 4.3(a): Rectifier Circuit
4.1.2: A Simple Application – The Rectifier
• This circuit is composed of diode
and series resistor.
• Q: How does this circuit operate?
• A: The diode blocks reverse
current flow, preventing
negative voltage across R.
Figure 4.3(a): Rectifier Circuit
4.2. Terminal Characteristics
of Junction Diodes
• Most common implementation
of a diode utilizes pn junction.
• I-V curve consists of three
characteristic regions
• forward bias: v > 0
• reverse bias: v < 0
• breakdown: v << 0
discontinuity caused by
differences in scale
4.2.1. The
Forward-Bias Region
• The forward-bias region
of operation is entered
when v > 0.
• I-V relationship is closely
approximated by
equations to right.
constant for diode at given
temperature (aka. saturation current)
thermal voltage
Boltzmann's
/
constant (8.62 -5 eV/K)
at room
temperature
(eq4.1)
(eq4.2)
( 1)
25.8
S
T
T
I
V
v V
S
k
T
q
i I e
kT
V m
q
V



 
 
E
magnitude of electron charge (1.6 -19 C)
constant for diode at given
temperature (aka. saturation curren
/
t)
(eq4.3) T
S
v V
S
I
i I e



E
(4.3) is a simplification
suitable for large v
4.2.1. The
Forward-Bias Region
• Equation (4.3) may be reversed
to yield (4.4).
• This relationship applies over as
many as seven decades of
current.
constant for diode at given
temperature (aka. saturation current)
(eq .4)
4
S
T
S
I
i
v V
I

 
  
 
ln
4.2.1. The
Forward-Bias
Region
• Q: What is the relative
effect of current flow (i) on
forward biasing voltage
(v)?
• A: Very small.
• 10x change in i, effects
60mV change in v.

 


 
2
1
2
1
2
1
2 1
step #1: consider two cases (#1 and #2)
step #2: divide by
step #3: combine two exponenti
/ /
1 2
/
2
/
1
( ) /
s
2
al
2
1
2 1
and
/
T T
T
T
T
V V V V
S S
V V
S
V V
S
V
I
V
I
V
T
I I e I I e
I e
I
I I e
I
e
I
V V V I I
ln 
 
 

 
1
2 1 2
60 2.3 10 / 1
step #4: invert this expression
step #5: convert to log base
1
10
2.3 /
T
mV V
T
V V V I I
log
log
4.2.1: The
Forward-Bias
Region
• cut-in voltage – is voltage, below
which, minimal current flows
• approximately 0.5V
• fully conducting region – is
region in which Rdiode is
approximately equal 0
• between 0.6 and 0.8V
fully conducting region
4.2.2. The Reverse-Bias Region
• The reverse-bias region of
operation is entered when
v < 0.
• I-V relationship, for
negative voltages with |v|
> VT (25mV), is closely
approximated by
equations to right.


 
 
   
 
 
this expression
applies for
negative voltages
0 for larger
voltage
magnitu
invert expon
/
entia
/
d
l
es
1
T
T
v V
S
S v V
S
i I e
i I
e
i I
action:
4.2.2. The Reverse-Bias Region
• A “real” diode exhibits reverse-bias current, although small,
much larger than IS .
• 10-9 vs. 10-14Amps
• A large part of this reverse current is attributed to leakage
effects.
4.2.3. The Breakdown Region
• The breakdown region of
operation is entered when v
< VZK.
• Zener-Knee Voltage (VZK)
• This is normally non-
destructive.
breakdown region
  S
i I
  S
i I 
 / T
v V
S
i I e
V
=
-V
ZK
V
=
-V
T
V
=
10V
T
 
/
( 1)
T
v V
S
i I e
Capacitive effects in the PN junction
• Diodes have two capacitive effects
– depletion capacitance = junction capacitance = CJ
– diffusion capacitance = storage capacitance = CS
– Cdiode = CJ + CS
Cdiode
A
CJ
A
K K
• We already know quite a bit about the junction cap. that develops when the
diode is in reverse bias (… but what about forward bias?)
• So far we did not even think about the existence of storage (diffusion)
capacitance
CS
0
0
(3.57)
V
1
V
j
j m
R
C
C 
 

 
 
m : grading coefficient depends on the concentration profile.
0
shaded area under the ( ) exponential
( )
p n
n n n p
Q Aq p x
Aq p x p L
 
  
 
 
2
p
p p
p
L
Q I
D
 (3.65)
p p p
Q I


(3.66)
n n n
Q I

 (3.67)
p p n n
Q I I
 
  (3.68)
T
Q I

 τT : mean transit time V
d
dQ
C
d
 (3.69)
V
T
d
T
C I

 
  
 
Switching Time of a diode is the time it takes to switch the
diode between two states (ON and OFF states)
Thanks

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pn juntion and capacitive effects.pptx

  • 2. 4.1.1. Current-Voltage Characteristic of the Ideal Diode • ideal diode – most fundamental nonlinear circuit element • two terminal device • circuit symbol shown to right • operates in two modes • on and off Figure 4.1: Diode characteristics
  • 3. 4.1.1. Current-Voltage Characteristic • cathode – negative terminal, from which current flows • anode – positive terminal of diode, into which current flows • voltage-current (VI) behavior is: • piecewise linear for rated values • nonlinear beyond this range
  • 4. 4.1.1: Current-Voltage Characteristic of the Ideal Diode • ideal diode: is most fundament nonlinear circuit element • two terminal device with circuit symbol to right • operates in two modes forward and reverse bias mode #1: forward bias = short ckt mode #2: reverse bias = open ckt. device symbol with two nodes
  • 5. 4.1.1. Current-Voltage Characteristic • External circuit should be designed to limit… • current flow across conducting diode • voltage across blocking diode • Examples are shown to right… Figure 4.2: The two modes of operation of ideal diodes and the use of an external circuit to limit (a) the forward current and (b) the reverse voltage.
  • 6. 4.1.2: A Simple Application – The Rectifier • One fundamental application of this piecewise linear behavior is the rectifier. • Q: What is a rectifier? • A: Circuit which converts AC waves in to DC…ideally with no loss. Figure 4.3(a): Rectifier Circuit
  • 7. 4.1.2: A Simple Application – The Rectifier • This circuit is composed of diode and series resistor. • Q: How does this circuit operate? • A: The diode blocks reverse current flow, preventing negative voltage across R. Figure 4.3(a): Rectifier Circuit
  • 8. 4.2. Terminal Characteristics of Junction Diodes • Most common implementation of a diode utilizes pn junction. • I-V curve consists of three characteristic regions • forward bias: v > 0 • reverse bias: v < 0 • breakdown: v << 0 discontinuity caused by differences in scale
  • 9. 4.2.1. The Forward-Bias Region • The forward-bias region of operation is entered when v > 0. • I-V relationship is closely approximated by equations to right. constant for diode at given temperature (aka. saturation current) thermal voltage Boltzmann's / constant (8.62 -5 eV/K) at room temperature (eq4.1) (eq4.2) ( 1) 25.8 S T T I V v V S k T q i I e kT V m q V        E magnitude of electron charge (1.6 -19 C) constant for diode at given temperature (aka. saturation curren / t) (eq4.3) T S v V S I i I e    E (4.3) is a simplification suitable for large v
  • 10. 4.2.1. The Forward-Bias Region • Equation (4.3) may be reversed to yield (4.4). • This relationship applies over as many as seven decades of current. constant for diode at given temperature (aka. saturation current) (eq .4) 4 S T S I i v V I         ln
  • 11. 4.2.1. The Forward-Bias Region • Q: What is the relative effect of current flow (i) on forward biasing voltage (v)? • A: Very small. • 10x change in i, effects 60mV change in v.        2 1 2 1 2 1 2 1 step #1: consider two cases (#1 and #2) step #2: divide by step #3: combine two exponenti / / 1 2 / 2 / 1 ( ) / s 2 al 2 1 2 1 and / T T T T T V V V V S S V V S V V S V I V I V T I I e I I e I e I I I e I e I V V V I I ln         1 2 1 2 60 2.3 10 / 1 step #4: invert this expression step #5: convert to log base 1 10 2.3 / T mV V T V V V I I log log
  • 12. 4.2.1: The Forward-Bias Region • cut-in voltage – is voltage, below which, minimal current flows • approximately 0.5V • fully conducting region – is region in which Rdiode is approximately equal 0 • between 0.6 and 0.8V fully conducting region
  • 13. 4.2.2. The Reverse-Bias Region • The reverse-bias region of operation is entered when v < 0. • I-V relationship, for negative voltages with |v| > VT (25mV), is closely approximated by equations to right.               this expression applies for negative voltages 0 for larger voltage magnitu invert expon / entia / d l es 1 T T v V S S v V S i I e i I e i I action:
  • 14. 4.2.2. The Reverse-Bias Region • A “real” diode exhibits reverse-bias current, although small, much larger than IS . • 10-9 vs. 10-14Amps • A large part of this reverse current is attributed to leakage effects.
  • 15. 4.2.3. The Breakdown Region • The breakdown region of operation is entered when v < VZK. • Zener-Knee Voltage (VZK) • This is normally non- destructive. breakdown region
  • 16.   S i I   S i I   / T v V S i I e V = -V ZK V = -V T V = 10V T   / ( 1) T v V S i I e
  • 17. Capacitive effects in the PN junction • Diodes have two capacitive effects – depletion capacitance = junction capacitance = CJ – diffusion capacitance = storage capacitance = CS – Cdiode = CJ + CS Cdiode A CJ A K K • We already know quite a bit about the junction cap. that develops when the diode is in reverse bias (… but what about forward bias?) • So far we did not even think about the existence of storage (diffusion) capacitance CS
  • 18. 0 0 (3.57) V 1 V j j m R C C         m : grading coefficient depends on the concentration profile.
  • 19. 0 shaded area under the ( ) exponential ( ) p n n n n p Q Aq p x Aq p x p L          2 p p p p L Q I D  (3.65) p p p Q I   (3.66) n n n Q I   (3.67) p p n n Q I I     (3.68) T Q I   τT : mean transit time V d dQ C d  (3.69) V T d T C I        
  • 20. Switching Time of a diode is the time it takes to switch the diode between two states (ON and OFF states)

Editor's Notes

  1. Since this is your first exposure to a nonlinear device: You can model a diode as piecewise linear. When forward biased – it is a battery (about 0.6 v) in series with a resistance (the slope of the V-I curve). When reverse biased it is a small constant current source (up to the reverse breakdown voltage = Zener). When in reverse breakdown again modeled as a battery (The Zener voltage) in series with a small resistance as in the forward direction.
  2. Of course there is always some loss.
  3. Calculate the power dissipated to see if it is “Destructive”.