This lab report examines two BJT circuits using an NPN transistor. The first is a common emitter circuit and the second adds an emitter resistor and voltage divider bias. The objective is to analyze, simulate, and test the circuits to understand BJT operation. Initial tests found inaccuracies due to using incorrect transistor beta values. Rechecking the beta improved results to within 10% of calculations. PSpice simulations had larger errors since its beta did not match the physical transistor. Overall the lab helped gain experience with BJT circuit design and analysis.
1. CTU: EE 395 – Electronics 2: Lab 1: BJT Circuits 1
Colorado Technical University
EE 395 – Electronics 2
Lab 1: BJT Circuits
May 2010
Loren Schwappach, Taylor DeIaco, Victor Arosemena
ABSTRACT: This lab report was completed as a course requirement to obtain full course credit in EE395, Electronics 2 at
Colorado Technical University. This lab report examines two BJT circuits (NPN common emitter, and NPN common emitter with an
emitter resister and voltage divider bias) and how they operate. The objective of this lab is to analyze, simulate, experiment, and
document the characteristics of the NPN transistor. Hand calculations are developed using the properties of the BJT (with B tested
prior to circuit construction and then verified using P-Spice schematic calculations to determine the viability of design prior to the
physical build of the design. P-Spice simulation results and hand calculations are then verified by physically modeling the design on a
bread board and taking measurements for observation.
If you have any questions or concerns in regards to this laboratory assignment, this laboratory report, the process used in
designing the indicated circuitry, or the final conclusions and recommendations derived, please send an email to
LSchwappach@yahoo.com. All computer drawn figures and pictures used in this report are of original and authentic content. The
authors authorize the use of any and all content included in this report for academic use.
of charges injected from a high-concentration emitter into the
base where they are minority carriers that diffuse toward the
I. INTRODUCTION collector, and so BJTs are classified as minority-carrier
devices.
T HE NPN Bipolar Junction Transistor is an active
circuit device with several uses such as signal The proportion of electrons able to cross the base and
reach the collector is a measure of the BJT efficiency. The
amplification. The DC biasing (B value of the transistor) is
used to find the linear operating region of the device and its heavy doping of the emitter region and light doping of the
performance distinctiveness. The BJT transistor structure base region cause many more electrons to be injected from the
contains three regions. The collector, base, and emitter. The emitter into the base than holes to be injected from the base
objective of this lab is to gain an understanding of how a BJT into the emitter. The common-emitter current gain is
transistor operates, and construct a circuit which correctly represented by β; it is approximately the ratio of the DC
implements its operations (within +-10%). collector current to the DC base current in forward-active
region. It is typically greater than 100 for small-signal
transistors but can be smaller in transistors designed for high-
II. OBJECTIVES power applications. Another important parameter is the
common-base current gain, α. The common-base current gain
The objective of this lab is to gain an understanding
is approximately the gain of current from emitter to collector
of the physical structure, operation, and characteristics of the
in the forward-active region. This ratio usually has a value
bipolar junction transistors (BJT). In particular what the
close to unity; between 0.98 and 0.998. Alpha and beta are
differences are between the analysis, simulation and actual
more precisely related by the following identities (NPN
experiment results. And to recognize the three modes of
transistor):
operation: saturation, active and cutoff. The goal of this lab is ������������
to become familiar and understand how a BJT operates. ������ =
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III. DIODE THEORY ������������
“A bipolar (junction) transistor (BJT) is a three- β=
������������
terminal electronic device constructed of doped semiconductor
material and may be used in amplifying or switching ������
β=
applications. Bipolar transistors are so named because their ������ + 1
operation involves both electrons and holes. Charge flow in a
BJT is due to bidirectional diffusion of charge carriers across a Bipolar transistors have five distinct regions of
junction between two regions of different charge operation, defined mostly by applied bias; four of these
concentrations. This mode of operation is contrasted with operations are described below.
unipolar transistors, such as field-effect transistors, in which
only one carrier type is involved in charge flow due to drift. Forward-active (or simply, active): The base–emitter
By design, most of the BJT collector current is due to the flow junction is forward biased and the base–collector junction is
2. CTU: EE 395 – Electronics 2: Lab 1: BJT Circuits 2
reverse biased. Most bipolar transistors are designed to afford initial failures on the first day of testing (error margins >>
the greatest common-emitter current gain, β, in forward-active 10%) due to bias instability. So the transistor was checked
mode. If this is the case, the collector–emitter current is and found to be approx 150 at intended Ic. This B of 150
approximately proportional to the base current, but many was then used to redesign hand calculations, PSpice
times larger, for small base current variations. models and provided accurate circuit measurements.
Reverse-active (or inverse-active or inverted): By
reversing the biasing conditions of the forward-active region, a
bipolar transistor goes into reverse-active mode. In this mode,
the emitter and collector regions switch roles. Because most
BJTs are designed to maximize current gain in forward-active
mode, the β in inverted mode is several (2–3 for the ordinary
germanium transistor) times smaller. This transistor mode is
seldom used, usually being considered only for failsafe
conditions and some types of bipolar logic. The reverse bias
breakdown voltage to the base may be an order of magnitude
lower in this region.
Saturation: With both junctions forward-biased, a
BJT is in saturation mode and facilitates high current
conduction from the emitter to the collector. This mode
corresponds to a logical "on", or a closed switch.
Cutoff: In cutoff, biasing conditions opposite of
saturation (both junctions reverse biased) are present. There is
very little current flow, which corresponds to a logical "off",
or an open switch.”[1]
Figure 2: Circuit 2: Common-emitter circuit with an NPN
transistor, emitter resister and voltage divider bias. B was
In this lab our group designed and analyzed two
initially assumed to be 120 but after initial failures during
specific circuits using the 2N3904 NPN BJT. Our first circuit
the first day of testing (error margins closer but still >
was a simple Common-emitter circuit with an NPN transistor
10%). So the transistor was checked and found to be
(figure 1), our second circuit used a Common-emitter circuit
approx 150 at the intended Ic. This B of 150 was then used
using an NPN transistor with an emitter resister and voltage
to redesign hand calculations, PSpice models and provided
divider bias, which should allow for greater bias stability
accurate circuit measurements.
(figure 2).
IV. DESIGN APPROACHES/TRADE-OFFS
The performance of this lab will depend on how well
the circuit is developed. If the circuit is developed correctly
the results showed be similar to hand calculation results.
PSpice will also be used to provide a rough estimate of what
should be expected in circuit measurements however the
PSpice model transistor B was found to be approx 134 which
is not the actual B of 150, so the PSpice simulations should
have a much larger error margin than the expected hand
calculations. The performance of the lab also depends on how
well the equipment is calibrated and accurate the components
tolerance is.
This is not a very cost effective lab except for the
development and time it took to construct the lab components.
But to save money for a lab project, whether it’s the testing or
developing phase of a new design, depending on what the
schematic is, a circuit can be reduced, if done correctly.
Figure 1: Circuit 1: Common-emitter circuit with NPN
transistor. B was initially assumed to be 100 but after
3. CTU: EE 395 – Electronics 2: Lab 1: BJT Circuits 3
V. HAND CALCULATIONS
The scanned hand calculations used for this lab can
be found below. After the initial failure on our first day of
circuit testing our group decided to try using a 2N3903 NPN
BJT in place of the 2N3904 transistor. The 2N3903 produced
good results with <10% error, and B was determined to be
approx 82. With this new data and confidence our group
decided to recheck the 2N3904 transistor and find a better
approx for B at our intended Ic. This B was measured to be
approx 149. Thus hand calculations were again performed
using the correct B values. These correct hand calculations
are below and were able to produce results with an error
margin of less than 10%.
Figure 4: Circuit 1, using 2N3904, B approx 150, Vbe =
.69. Vcc = 5V, Rc = 2.5k, Ic designed at 1mA, Vceq
designed at 2.5V, Vbb = 1.7V, and Rb required to be 149k
to provide the correct bias and Ib of 6.7uA. Measured
values were within 10% of hand calculations.
Figure 3: Circuit 1, using 2N3903, B approx 82, Vbe = .69.
Vcc = 5V, Rc = 2.5k, Ic designed at 1mA, Vceq designed at
2.5V, Vbb = 1.7V, and Rb required to be 82k to provide
the correct bias and Ib of 12.2uA. Measured values were
within 10% of hand calculations.
Figure 5: Circuit 2, using 2N3903, B approx 82, Vbe = .69.
Vcc = 5V, Rc = 1k, Re = 510, Vceq designed at 3V, Ic
determined to be 1.3mA, R1 determined to be 10K and R2
required to be 4k to provide the bias stability and Ib of
16uA. Measured values were within 10% of hand
calculations.
4. CTU: EE 395 – Electronics 2: Lab 1: BJT Circuits 4
Figure 7: Circuit 1: PSpice Voltage Results of 3904 NPN.
Notice B = 134 not 150 (actual) which accounts for a larger
error margin >10% than expected.
Figure 6: Circuit 2, using 2N3904, B approx 149, Vbe =
.69. Vcc = 5V, Rc = 1k, Re = 510, Vceq designed at 3V, Ic
determined to be 1.3mA, R1 determined to be 20K and R2
required to be 8k to provide the bias stability and Ib of
8.7uA. Measured values were within 10% of hand
calculations.
VI. CIRCUIT SCHEMATICS
The final circuit schematics below were built in
PSpice and allowed our team to analyze the circuit digitally
before performing the physical build. However, since the B
value of the transistor used was approx 150 instead of the
PSpice B of 134 the actual values were much closer to the
hand calculations than PSpice calculations. If the PSpice
model B was adjusted accordingly the resulting PSpice
calculations would have been much more accurate.
Figure 8: Circuit 1: PSpice Current Results of 3904 NPN.
Notice B = 134 not 150 (actual) which accounts for a larger
error margin >10% than expected.
5. CTU: EE 395 – Electronics 2: Lab 1: BJT Circuits 5
Figure 9: Circuit 1: PSpice Power Results of 3904 NPN.
Notice B = 134 not 150 (actual) which accounts for a larger
error margin >10% than expected.
Figure 11: Circuit 2: PSpice Circuit Results of 3904 NPN.
Notice B = 134 not 150 (actual) which accounts for a larger
error margin >10% than expected.
Figure 10: Circuit 2: PSpice Power Results of 3904 NPN.
Notice B = 134 not 150 (actual) which accounts for a larger
error margin >10% than expected.
6. CTU: EE 395 – Electronics 2: Lab 1: BJT Circuits 6
VIII. EXPERIMENTAL DATA
The following table illustrates the measurements
taken at each stage of the lab.
Circuit 1: Common Emitter NPN (2N3904) B = 150
% Error (rounded up)
Hand Calc Pspice Calc Measured
Component Min assumed 1%
(B=150) (B=134) (B=150)
(Hand vs Measured)
Rc 2.5k 2.5k 2.45k 2%
Rb 149k 149k 149k 1%
Vcc 5V 5V 4.99V 1%
Vbb 1.7V 1.7V 1.69V 1%
Vrb 1V 1.04V 1.02V 2%
Vrc 2.5V 2.35 2.51V 1%
Vbe 0.69 .66V .69V 1%
Vc 2.5V 2.65 2.49V 1%
Ve 0V 0V 0V 1%
Vceq 2.5V 2.65V 2.49V 1%
Vceq(cut) 5V 5V 4.99V 1%
Ib 6.7uA 6.957uA 6.9uA 3%
Ic 1mA 937.9uA 1.03mA 3%
Ic (sat) 2mA 2mA 2mA 1%
B 150 134 149.3 1%
Table 1: Circuit 1: Comparison of Hand Calculated,
PSpice, and Measured Values and Percentage of Error
(Hand Calculated vs Actual).
Circuit 2: Common Emitter NPN (2N3904) B = 150
Figure 11: Circuit 2: PSpice Circuit Results of 3904 NPN. w/ Re and Voltage Divider Bias (Much more stable)
Notice B = 134 not 150 (actual) which accounts for a larger % Error (rounded up)
Hand Calc Pspice Calc Measured
error margin >10% than expected. Component
(B=150) (B=134) (B=150)
Min assumed 1%
(Hand vs Measured)
VII. COMPONENT LIST Rc 1k 1k 1k 1%
Re 510 510 510 1%
The following is a list of components that were used in R1 20k 20k 20k 1%
constructing the BJT switch / inverter. Component values R2 8k 8k 8K 1%
were selected by the professor. Vcc 5V 5V 4.99V 1%
Vb 1.36V 1.37V 1.35V 1%
A digital multimeter for measuring circuit Vr1 3.65V 3.63V 3.63V 1%
voltages, resistor resistances, and capacitor Vr2 1.35V 1.37V 1.35V 1%
Vbe .69V .67V .69V 1%
capacitance.
Vc 3.7V 3.64V 3.7V 1%
A power supply capable of delivering a constant Ve .67V .7V .66V 3%
Vcc = 5V. Vrc 1.3V 1.36V 1.3V 1%
A power supply capable of delivering a constant Vceq 3V 2.94V 3.04V 1%
Vcc = 1.7V (for circuit 1). Vceq(cut) 5V 5V 4.99V 1%
A 2N3904 Transistor, V(BE) = .69V, Beta (B) = Ic 1.3mA 1.36mA 1.28mA 3%
150 at Ic = approx 1mA. Ie 1.31mA 1.37mA 1.28mA 3%
Resisters for 2N3904 designs of values approx Ib 8.7uA 9uA 8.5uA 3%
2.5k, 149k, 1k, 510, 20k, 8k. Ir1 183uA 181uA 179uA 3%
Ir2 169uA 172uA 170uA 1%
Bread board with wires.
B 151 134 151 1%
NOTE: Resistors can normally provide around +/- Ic(Sat) 3.28mA 3.28mA 3.28mA 1%
5%-25% difference between actual and designed Table 2: Circuit 2: Comparison of Hand Calculated,
values while Capacitors generally provide around PSpice, and Measured Values and Percentage of Error
20%-50% difference between actual and designed (Hand Calculated vs Actual). Notice that although PSpice
values. You can add resisters in series as (R1+R2) B = 134, values are much closer to actual than before, this
to closer approximate required resistance values is due to the increased stability offered by adding Re and
and you can add Capacitors in parallel as (C1+C2) voltage divider bias.
to closely approximate required capacitance.
7. CTU: EE 395 – Electronics 2: Lab 1: BJT Circuits 7
IX. ANALYSIS/DATA COMPARISON
The analysis/PSpice/Experimental data results were
all accurate, but the results differed between the three. The
reasons that the results were different is because the
experimental results have equipment calibrations, component
tolerances, and actual measures values from the components.
The PSpice were less accurate than hand calculation because
the PSpice NPN was modeled at B = 134. All three results
were not in total agreement however, the results were close to
each other, and became increasingly closer using circuit 2’s
increased bias stability.
X. CONCLUSIONS
The discrepancies between the actual results, hand
calculated and simulated result is that they were all extremely
close (<10%) from the P-Spice results, however these results
could differ depending upon the error provided by the passive
and active components, factors such as component tolerances,
equipment calibrations and measurements fluctuations by the
observer can contribute to results being slightly off from the
P-Spice calculations. It is always good to start with P-Spice to
understand what is happening prior to build, and even more
important to know the characteristics (B value) of the
transistor.
In conclusion, this lab was a great demonstration on
the powerful features of BJTs and their use in electronics and
the importance of choosing a stable biased circuit (circuit 2) vs
a less stable circuit (circuit 1).
XI. ATTACHMENTS
All figures above follow.
REFERENCES
[1] D. A. Neamen, “Microelectronics: circuit analysis and design - 3rd ed.”
McGraw-Hill, New York, NY, 2007. pp. 1-107.