# Bipolar transistor biasing circuits

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1 Bipolar transistor biasing circuits This worksheet and all related files are licensed under the Creative Commons Attribution License, version 1.0. To view a copy of this license, visit or send a letter to Creative Commons, 559 Nathan Abbott Way, Stanford, California 94305, USA. The terms and conditions of this license allow for free copying, distribution, and/or modification of all licensed works by the general public. Resources and methods for learning about these subjects (list a few here, in preparation for your research): 1

2 Question 1 Questions Describe what the output voltage of this transistor circuit will do (measured with reference to ground), if the potentiometer wiper begins at the full-down position (common with ground), and is slowly moved in the upward direction (closer to ): 10 V file Question 2 Complete the table of output voltages for several given values of input voltage in this common-collector amplifier circuit. Assume that the transistor is a standard silicon NPN unit, with a nominal base-emitter junction forward voltage of 0.7 volts: +15 V 1.5 kω 0.0 V 0.5 V 1.0 V 1.5 V 5.0 V 7.8 V Based on the values you calculate, explain why the common-collector circuit configuration is often referred to as an emitter follower. file

3 Question 3 Describe what the output voltage of this transistor circuit will do (measured with reference to ground), if the input voltage ramps from 0 volts to -10 volts (measured with respect to ground): 10 V file Question 4 If we were to apply a sinusoidal AC signal to the input of this transistor amplifier circuit, the output would definitely not be sinusoidal: It should be apparent that only portions of the input are being reproduced at the output of this circuit. The rest of the waveform seems to be missing, being replaced by a flat line. Explain why this transistor circuit is not able to amplify the entire waveform. file Question 5 Explain what is meant by the phrase, Class-A amplifier operation. What does it mean for a particular amplifier circuit to operate in Class-A mode? file

4 Question 6 Class-A operation may be obtained from this simple transistor circuit if the input voltage ( ) is biased with a series-connected DC voltage source: V bias First, define what Class A amplifier operation is. Then, explain why biasing is required for this transistor to achieve it. file Question 7 Describe what the output voltage of this transistor circuit will do (measured with reference to ground), if the potentiometer wiper begins at the full-down position (common with ground), and is slowly moved in the upward direction (closer to ): 10 V file

5 Question 8 If we were to apply a sinusoidal AC signal to the input of this transistor amplifier circuit, the output would definitely not be sinusoidal: It should be apparent that only portions of the input are being amplified in this circuit. The rest of the waveform seems to be missing in the output, being replaced by a flat line. Explain why this transistor circuit is not able to amplify the entire waveform. file Question 9 Class-A operation may be obtained from this simple transistor circuit if the input voltage ( ) is biased with a series-connected DC voltage source: V bias First, define what Class A amplifier operation is. Then, explain why biasing is required for this transistor to achieve it. file

6 Question 10 A student builds the following circuit and connects an oscilloscope to its output: V bias The waveform shown on the oscilloscope display looks like this: Definitely not Class-A operation! Suspecting a problem with the input waveform, the student disconnects the oscilloscope probe from the amplifier output and moves it over to the amplifier input terminal. There, the following waveform is seen: 6

7 How can this amplifier circuit be producing such a distorted output waveform with such a clean input waveform? Explain your answer. file Question 11 Suppose you were building a Class-A transistor amplifier for audio frequency use, but did not have an oscilloscope available to check the output waveform for the presence of clipping caused by improper biasing. You do, however, have a pair of audio headphones you may use to listen to the signals. Explain how you would use a pair of headphones to check for the presence of severe distortion in a waveform. file Question 12 Explain how it is possible for a fault in the biasing circuitry of a transistor amplifier to completely kill the (AC) output of that amplifier. How and why can a shift in DC bias voltage have an effect on the AC signal being amplified? file

8 Question 13 Calculate the approximate quiescent (DC) base current for this transistor circuit, assuming an AC input voltage of 0 volts, and a silicon transistor: -20 V 10 kω 47 kω V bias 2.5 V file Question 14 Calculate the potentiometer wiper voltage (V bias ) required to maintain the transistor right at the threshold between cutoff and active mode. Then, calculate the input voltage required to drive the transistor right to the threshold between active mode and saturation. Assume ideal silicon transistor behavior, with a constant β of 100: -V 8.1 kω β = kω 1 kω 25 V V bias file

9 Question 15 Explain how the following bias networks function: R bias R input R load R load V CC R bias1 R bias2 R E R load Each one has the same basic purpose, but works in a different way to accomplish it. Describe the purpose of any biasing network in an AC signal amplifier, and comment on the different means of accomplishing this purpose employed by each of the three circuits. Hint: imagine if the AC signal source in each circuit were turned off (replaced with a short). Explain how each biasing network maintains the transistor in a partially on state at all times even with no AC signal input. file

10 Question 16 Explain how the following bias networks function: Emitter bias Base bias -V Voltage divider bias Voltage divider bias (when is not ground-referenced) Each one has the same basic purpose, but works in a different way to accomplish it. Describe the purpose of any biasing network in an AC signal amplifier, and comment on the different means of accomplishing this purpose employed by each of the three circuits. file

11 Question 17 A very common method of providing bias voltage for transistor amplifier circuits is with a voltage divider: Voltage divider bias However, if we were to directly connect a source of AC signal voltage to the junction between the two voltage divider resistors, the circuit would most likely function as if there were no voltage divider network in place at all: Equivalent to Instead, circuit designers usually place a coupling capacitor between the signal source and the voltage divider junction, like this: 11

12 Coupling capacitor Explain why a coupling capacitor is necessary to allow the voltage divider to work in harmony with the AC signal source. Also, identify what factors would be relevant in deciding the size of this coupling capacitor. file Question 18 When inserting a signal coupling capacitor into the bias network for this transistor amplifier, which way should the (polarized) capacitor go? (Hint: the AC signal source outputs pure AC, with a time-averaged DC value of 0 volts). Which way should it be connected? Explain why the orientation of this capacitor matters, and what might happen if it is connected the wrong way. file

13 Question 19 Describe how proper biasing is accomplished in this headphone amplifier circuit (suitable for amplifying the audio output of a small radio): 100 kω Headphones (32 Ω) 6 V Signal input 1000 µf 32 Ω 22 µf 10 kω Also, describe the functions of the 10 kω potentiometer and the 22 µf capacitor. file Question 20 The following circuit is a three-channel audio mixer circuit, used to blend and amplify three different audio signals (coming from microphones or other signal sources): V CC = +12 VDC 1 50 kω 4.7 kω 220 µf 2 50 kω 47 µf A 81 kω B 33 kω 3 50 kω 10 kω 1 kω 100 µf Suppose we measured a 9 khz sinusoidal voltage of 0.5 volts (peak) at point A in the diagram, using an oscilloscope. Determine the voltage at point B in the circuit, after this AC signal voltage passes through the voltage divider biasing network. The voltage at point B will be a mix of AC and DC, so be sure to express both quantities! Ignore any loading effects of the transistor s base current on the voltage divider. file

15 Answer 1 Answers will increase, from 0 volts to approximately 9.3 volts (assuming a silicon transistor with a nominal base-emitter voltage drop of 0.7 volts), as the potentiometer wiper is moved closer to. Follow-up question: based on this result, would you be inclined to call this amplifier an inverting or a noninverting circuit? Answer V 0.0 V 0.5 V 0.0 V 1.0 V 0.3 V 1.5 V 0.8 V 5.0 V 4.3 V 7.8 V 7.1 V The voltage at the transistor s emitter terminal approximately follows the voltage applied to the base terminal, hence the name. Answer 3 Trick question! will remain at 0 volts the entire time. Answer 4 Transistors are essentially DC devices, not AC devices. Consider the base-emitter PN junction that the input signal is sent to: it can only conduct in one direction (base positive and emitter negative). Answer 5 Class-A amplifier operation means that the final (power) transistor duplicates the entire waveshape of the input signal, and not just a part of it. Answer 6 Class A amplifier operation is when the transistor remains in its active mode (conducting current) throughout the entire waveform. Biasing may be thought of as a kind of trick used to get the transistor (a DC device) to think it is amplifying DC when the input signal is really AC. Answer 7 will decrease, from +10 volts to nearly zero volts, as the potentiometer wiper is moved closer to. Follow-up question: based on this result, would you be inclined to call this amplifier an inverting or a noninverting circuit? Answer 8 Transistors are essentially DC devices, not AC devices. Consider the base-emitter PN junction that the input signal is sent to: it can only conduct in one direction (base positive and emitter negative). 15

16 Answer 9 Class A amplifier operation is when the transistor remains in its active mode (conducting current) throughout the entire waveform. Biasing may be thought of as a kind of trick used to get the transistor (a DC device) to think it is amplifying DC when the input signal is really AC. Answer 10 The DC bias voltage (V bias ) is excessive. Answer 11 Set the signal generator to sine-wave, and the aural difference between a pure sine wave and a distorted ( clipped ) sine wave will be very apparent. Answer 12 If the DC bias voltage shifts far enough away from the normal (quiescent) levels, the transistor may be forced into saturation or cutoff so it cannot reproduce the AC signal. Answer 13 I B = 38.3 µa Answer 14 At the threshold between cutoff and active mode, V bias = -0.7 volts At the threshold between active mode and saturation, V bias = volts (assuming 0 volts V CE at saturation) Follow-up question: if we were using the potentiometer to establish a bias voltage for an AC signal, what amount of DC bias voltage would place the transistor directly between these two extremes of operation (cutoff versus saturation), so as to allow the AC input signal to swing equal amounts positive and negative at the distortion limit? In other words, what voltage setting is exactly between -0.7 volts and volts? Answer 15 The purpose of any biasing network in an AC signal amplifier is to provide just enough quiescent current through the base to keep the transistor between the extremes of cutoff and saturation throughout the input signal s waveform cycle. Answer 16 The purpose of any biasing network in an AC signal amplifier is to provide just enough quiescent current through the base to keep the transistor between the extremes of cutoff and saturation throughout the input signal s waveform cycle. 16

17 Answer 17 A very good way to understand the AC source s effect on the voltage divider with and without the capacitor is to use Superposition Theorem to determine what each source (AC signal, and DC power supply) will do separately. If this concept is still not clear, consider this circuit: Determine the voltage at this point V bias As far as capacitor size is concerned, it should be large enough that its reactance is negligible. I ll let you determine what factors define negligibility in this context! Follow-up question: which voltage source (AC or DC?) wins at the point specified in the above circuit? Explain why this is so, and then show how a suitably located capacitor would allow both voltage signals to co-exist at that point. Answer 18 Answer 19 Biasing is accomplished through the 100 kω resistor. The 10 kω potentiometer is the volume control, and the 22 µf capacitor serves to couple the input signal to the transistor s base, while blocking any DC bias voltage from being fed back to the audio signal source. Challenge question: there is a name used to describe the dual-transistor configuration used in this circuit, where a pair of PNP or NPN transistors is cascaded, with the emitter of one going to the base of the other. What is this name, and what advantage does this configuration provide over a single transistor? Answer 20 V B = VDC VAC (peak) 17

18 Answer 21 Let the electrons themselves give you the answers to your own practice problems! 18

22 Notes 21 It has been my experience that students require much practice with circuit analysis to become proficient. To this end, instructors usually provide their students with lots of practice problems to work through, and provide answers for students to check their work against. While this approach makes students proficient in circuit theory, it fails to fully educate them. Students don t just need mathematical practice. They also need real, hands-on practice building circuits and using test equipment. So, I suggest the following alternative approach: students should build their own practice problems with real components, and try to mathematically predict the various voltage and current values. This way, the mathematical theory comes alive, and students gain practical proficiency they wouldn t gain merely by solving equations. Another reason for following this method of practice is to teach students scientific method: the process of testing a hypothesis (in this case, mathematical predictions) by performing a real experiment. Students will also develop real troubleshooting skills as they occasionally make circuit construction errors. Spend a few moments of time with your class to review some of the rules for building circuits before they begin. Discuss these issues with your students in the same Socratic manner you would normally discuss the worksheet questions, rather than simply telling them what they should and should not do. I never cease to be amazed at how poorly students grasp instructions when presented in a typical lecture (instructor monologue) format! A note to those instructors who may complain about the wasted time required to have students build real circuits instead of just mathematically analyzing theoretical circuits: What is the purpose of students taking your course? If your students will be working with real circuits, then they should learn on real circuits whenever possible. If your goal is to educate theoretical physicists, then stick with abstract analysis, by all means! But most of us plan for our students to do something in the real world with the education we give them. The wasted time spent building real circuits will pay huge dividends when it comes time for them to apply their knowledge to practical problems. Furthermore, having students build their own practice problems teaches them how to perform primary research, thus empowering them to continue their electrical/electronics education autonomously. In most sciences, realistic experiments are much more difficult and expensive to set up than electrical circuits. Nuclear physics, biology, geology, and chemistry professors would just love to be able to have their students apply advanced mathematics to real experiments posing no safety hazard and costing less than a textbook. They can t, but you can. Exploit the convenience inherent to your science, and get those students of yours practicing their math on lots of real circuits! 22

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