ES230_Spr_2012_Lecture_2
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PN Junction
ES230Jack Ou
Review
What if we introduce n-type and p-type dopants into two adjacent sections of a piece of silicon?
Electric Field/Voltage
Definition of Voltage: The work done in moving a unitPositive charge from one point to another in an electric field.
Alternative definition: -+ Vo
P side is suddenlyjoined with the n side
Each e- that departsfrom the n side leavesbehind a positive ion.
Electrons enter the P side and create neg.ion.
The immediatevincinity of the junctionis depleted of freecarriers.
Electric field within the depletion region points from the left to the right.The direction of the electric field make it difficult for more free electronsto move from the n side to the p side.
Equilibrium does not mean that there is no movement of carriers, but instead
Net charge =0 Net charge =0
E depends on the net chargeincluded in the imaginary surface.
Extra Credit:Derive Built in Voltage
Different ways of Crossing PN Junction
np=ni2
DiffusionDiffusion
Majority carriers cross the pn junction via diffusionMinority carriers cross the pn junction via drift
Drift Drift
PN Junction under Reverse Bias
Reverse: Connect the + terminal to then side.
Depletion region widens.Therefore, stronger E.
Majority carrier to cross the PN junction easilythrough diffusion.
Current is composed mostly of drift current contributedby minority carriers.
np to the left and pn to the right.
Current from n side to p side,the current is negative.
E
PN Junction as a capacitor
As the reverse bias increases, the width of the depletion region increases.
Smaller capacitance.(More charge separation)
Large capacitance.(Less charge separation)
c02f25
Bias dependent capacitance.Useful in cell phone applications.
Photodiode
1. Light is applied to the pn junction2. Electrons are dislodged from covalentbonds.3. Electron-hole pair is created.4. Electron is attracted to the positive terminalof the battery.5. Current flows through the diode is proportionalto light intensity.
Application: Digital camera.
Forward Bias Diode
Depletion region shrinks due to charges from the battery.The electric field is weaker.Majority carrier can cross via diffusion;Greater diffusion current.Current flows from P side to N side
Equilibrium Forward Biased Diode
Majority carriers cross the junction via diffusion.Minority carriers increased on both sides of the junction.
nn,f enters the p side as minority carriers (np,f). np,f will recombinewith the pp,f, which are abundant.
In the vincinity of depletion region, the current consists mostly of minority carriers.
Away from the depletion region, the current consists mostlyOf majority carriers.At each point along the x-axis, the two components add upTo Itot.
IS=Reverse Saturation=leakage current
The diode current is proportional to area.
Measure Forward Biased Diode Current
Listed R1=330 Ohms, Measured R1=327.8 Ohms, % error=-0.66 %
Measured Value (Forward Bias)
VF
(V)
IF (Computed)
0.455 30.50 uA
0.509 0.10 mA
0.551 0.26 mA
0.603 0.77 mA
0.650 2.10 mA
0.70 5.74 mA
0.748 13.8 mA
Measured Diode Voltage
400 440 480 520 560 600 640 680 720 760 8000
3
6
9
12
15
D
iod
e C
urr
en
t (m
A)
Diode Voltage
Measured DataBarrier Potential is ~ 665 mV
On Semilog Plot
0.45 0.50 0.55 0.60 0.65 0.70 0.75
1E-4
1E-3
0.01
1
0 lo
g (
I diod
e)
Diode Voltage (V)
Measured Data
Dynamic Resistance
VF
(V)
IF (Computed)
0.70 5.74 mA
0.748 13.8 mA
Dynamic Resistance from the measurement:(0.748-0.70)/(13.8 mA-5.74 mA)= 48 mV/8.06 mA =5.95 Ohms
From the manufacture’s specification=8.33 Ohms, using data from 0.7V and 0.725 V in Figure 4.
If VD is less than VD, On, the diode behaves like an open circuit.The diode will behave like an open circuit for VD=VD,on
Reverse Bias
Measured R2 is 0.997 MOhms. % Error is about -0.3 %
Reverse Bias
VS
(Measured)
IR
(Computed)
5 3 nA
10 3 nA
15 3 nA