College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis Laboratory Experiment No. 2 Transistor Small Signal Amplifiers Section: CpE - 2204 (Group No. 1) Names: Abagon, Jarry Nash Areta, Ralph Jan Bacay, Marc Jian Elomina, Isaac Gupit, Carlos Ruben Malubag, Rafael John Submitted to: Engr. James Darrel Lara Date: April 6, 2024 I. Abstract Three main objectives are being investigated in this experiment to learn more about transistor circuit characteristics: determining input and output impedance, interpreting the effects of source and load resistances, and measuring and differentiating the gain under loaded and no-load conditions. The experiment aims to improve understanding of transistor behavior and its implications for circuit design through hands-on measurements and analysis. Decisions about impedance matching, power transfer optimization, and circuit stability can be made with the help of the study's insights. II. Introduction The objective of this experiment is to thoroughly investigate transistor circuits, focusing on their internal functionality and the variables influencing their effectiveness. Three main goals have been established to direct the research. The primary objective is to measure and fully understand a transistor amplifier's gain in two different scenarios: when functioning as a no-load (with no external load) and when connected to various loads. Analyzing the amplifier's ability to drive external components and its performance under different load scenarios will elucidate its functionality. Through this investigation, the researchers aim to gain insights into the workings of the amplifier and its versatility in real-world applications. College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis Secondly, the researchers aim to accurately measure the transistor amplifier's input and output impedance. This is crucial for maximizing the amplifier's efficiency and ensuring smooth power transfer throughout the circuit. By precisely identifying these impedance values, adjustments can be made to seamlessly integrate the amplifier with other circuit components, thereby improving overall performance. The overall objective is to deepen the comprehension of transistor circuits and utilize this understanding to inform design choices, thereby enhancing their reliability and performance in real-world applications. The ultimate goal is to grasp transistor circuitry through comprehensive experimentation and analysis, thereby paving the way for innovative developments in electronic engineering. III. Objectives 1. To measure and differentiate the no-load and loaded gain of a transistor circuit. 2. To measure the value of the input and output impedance of a transistor amplifier. 3. To interpret the effects of source and load resistances. IV. Materials / Tools / Equipment 1. Adjustable DC Power Supply 2. Function Generator 3. Resistors 4. 1N4001 Silicon Diode 5. Breadboard 6. Connecting Wires (Size #22) 7. Multimeter 8. Oscilloscope 9. Simulation Software (Multisim of Online Software) V. Procedures a. Voltage Gain i. Construct the circuit shown in Figure 1.1 College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis ii. iii. v. Connect a 10μF ceramic capacitor as a coupler capacitance. Apply 5mV with frequency of 1 KHz sinusoidal input to the amplifier using a function generator. Measure the input and output voltage of the amplifier circuit using an oscilloscope. Using eq. 2.1, solve the voltage gain. vi. Repeat the process using the parameters in figure 1.2 and 1.3. iv. b. Input Impedance i. Construct the circuit shown in Figure 1.1 ii. Connect a 10μF ceramic capacitor as a coupler capacitance. iii. Obtain the output waveform using oscilloscope iv. Apply 5mV with frequency of 1 KHz sinusoidal input to the amplifier using function generator in series with 100Ω sense resistor (𝑅𝑠𝑒𝑛𝑠𝑒). v. vi. Measure the source and input voltage of the transistor amplifier. Compute the input current using eq. 2.2. College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis vii. Compute the input impedance using eq. 2.3. viii. Repeat the process using the parameters in figure 2.2 and 2.3. c. Output Impedance i. Construct the circuit shown in Figure 1.1 ii. Connect a 10μF ceramic capacitor as a coupler capacitance. iii. Short out the input of the amplifier. iv. Apply 5mV with frequency of 1 KHz sinusoidal input to the amplifier using function generator in series with 100Ω sense resistor (𝑅𝑠𝑒𝑛𝑠𝑒). v. vi. Measure the source and output voltage of the transistor amplifier. Compute the output current using eq. 2.4. vii. Compute the output impedance using eq. 2.5. viii. Repeat the process using the parameters in figure 2.2 and 2.3. d. Effects of Load and Source Resistance i. Construct the circuit shown in figure 2.1. ii. Connect a 10μF ceramic capacitor as a coupler capacitance. iii. Connect a 1kΩ load resistor. iv. Apply 5mV with frequency of 1 KHz sinusoidal input to the amplifier using a function generator. v. Measure the gain. vi. Repeat the process for 2.2kΩ, 3.3kΩ, 5kΩ and 4.7kΩ load resistances. vii. Remove the Load Resistor. viii. Connect a 100Ω series resistance to the function generator. ix. Measure the gain with respect to the input of the amplifier and with respect to the source voltage. x. Record your measurements. xi. Repeat steps 7-10 of 220Ω, 330Ω, and 470Ω. xii. Combine the different source and load resistances in your measurements xiii. Record your measurements. College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis VI. Data and Results In the following section, we will delve into the results and discussion stemming from the laboratory experiment on Transistor Small Signal Amplifiers. The figures that accompany our analysis showcase the schematics of the BJT Fixed Bias Circuit, BJT Voltage Divider Bias Circuit, and JFET Emitter Bias Circuit. The analysis of the circuits were done through the use of NI Multisim. Moreover, this analysis will rely on different formulas in order to get certain values needed for the experiment like the voltage gain, input impedance, and output impedance. a. Voltage Gain Figure 2.1.1 BJT Fixed Bias Circuit (Input Voltage) Figure 2.1.2 BJT Fixed Bias Circuit (Output Voltage) From the diagram provided, it is evident that oscilloscopes were employed to monitor and measure the input and output voltages of the BJT Fixed Bias Circuit. The input voltage was found to be 4.988mV, while the output voltage was measured at 1.078V. College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis Figure 2.2.1 BJT Voltage Divider Bias Circuit (Input Voltage) Figure 2.2.2 BJT Voltage Divider Bias Circuit (Output Voltage) It can be inferred from the data presented in the diagram that oscilloscopes were utilized to measure and document the input and output voltages of the BJT Voltage Divider Bias Circuit. Specifically, the input voltage was measured at 4.991mV, while the output voltage registered at 449.856mV. College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis Figure 2.3.1 JFET Emitter Bias Circuit (Input Voltage) Figure 2.3.2 JFET Emitter Bias Circuit (Output Voltage) By closely examining the schematic, one can discern the utilization of oscilloscopes to track and document the input and output voltages of the JFET Emitter Bias Circuit. The input voltage was measured at 4.986mV, while the output voltage was recorded at 18.882mV. College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis Figure 2.4.1 Manual Computations for Voltage Gain The voltage gain, calculated as Av = Vout/Vin, represents the amplification factor achieved by simulation in Multisim. For the given input voltages of 4.988mV, 4.991mV, and 4.986mV, corresponding to output voltages of 1.078V, 449.856mV, and 18.882mV, respectively, the resulting voltage gains were found to be 216.119, 90.133, and 3.787. This indicates how much the circuit amplifies the input signal. In practical terms, a voltage gain means that the output voltage is substantially larger than the input voltage, highlighting the circuit's amplification capability. College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis b. Input Impedance Figure 3.1.1 BJT Fixed Bias Circuit (Voltage Source) Figure 3.1.1 BJT Fixed Bias Circuit (Input Voltage) From the data provided, it is evident that oscilloscopes were utilized to measure and capture the voltage source and input voltage of the BJT Fixed Bias Circuit. Notably, a 100Ω sense resistor is observed to be in series with the function generator. The voltage source is recorded at 4.983mV, while the input voltage is measured at 4.580mV. College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis Figure 3.2.1 BJT Voltage Divider Bias Circuit (Voltage Source) Figure 3.2.2 BJT Voltage Divider Bias Circuit (Input Voltage) It can be observed from the given figures that oscilloscopes were utilized to measure and acquire the voltage source and input voltage of the BJT Voltage Divider Bias Circuit. Furthermore, it can be noted that a 100Ω sense resistor is in series with the function generator. The voltage source is measured at 4.992mV, while the input voltage is measured at 4.836mV. College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis Figure 3.3.1 JFET Emitter Bias Circuit (Voltage Source) Figure 3.3.2 JFET Emitter Bias Circuit (Input Voltage) Analyzing the given figures, it is apparent that oscilloscopes were utilized to measure and obtain the voltage source and input voltage of the BJT Voltage Divider Bias Circuit. Additionally, the inclusion of a 100Ω sense resistor in series with the function generator is observed. The voltage source is measured at 4.996mV, while the input voltage registers at 4.842mV. College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis Figure 3.4.1 Manual Computations for Input Impedance In Multisim, Oscilloscopes within a BJT Fixed Bias Circuit were utilized to measure the Input Impedance. Employing manual computation, the Input Current (Ii) was determined using the formula Ii = (Vsource - Vin) / Rsense, where Vsource denotes the source voltage, Vin represents the input voltage, and Rsense indicates the resistor sense. The resulting input current values were found to be 4.030uA, 1.560uA, and 1.540uA, respectively, based on the given values: Vsource (4.983mV, 4.992mV, 4.996mV), Vin (4.580mV, 4.836mV, 4.842mV), and Rsense (100, 100, 100). Additionally, the Input Impedance was determined to be 1136.476, 3100, and 3144.156, respectively, reflecting the resistance that the circuit presents to the input signal source. College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis c. Output Impedance Figure 4.1.1 BJT Fixed Bias Circuit (Voltage Source) Figure 4.1.1 BJT Fixed Bias Circuit (Output Voltage) Considering the given schematic, it's evident that oscilloscopes were employed to measure and obtain the voltage source and input voltage of the BJT Fixed Bias Circuit. Additionally, it's worth noting that a 100Ω sense resistor is in series with the function generator, resembling the input impedance. The voltage source is measured at 4.992mV, while the output voltage is observed at 1.002mV. College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis Figure 4.2.1 BJT Voltage Divider Bias Circuit (Voltage Source) Figure 4.1.1 BJT Voltage Divider Bias Circuit (Output Voltage) From the given figures, it can be observed that oscilloscopes were employed to measure and obtain the voltage source and input voltage of the BJT Voltage Divider Bias Circuit. Additionally, the inclusion of a 100Ω sense resistor in series with the function generator, akin to the input impedance, is notable. The voltage source is measured at 4.976mV, while the input voltage is recorded at 436.5596mV. College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis Figure 4.3.1 JFET Emitter Bias Circuit (Voltage Source) Figure 4.3.1 JFET Emitter Bias Circuit (Output Voltage) It can be concluded from the given figures that oscilloscopes were employed to measure and capture the voltage source and input voltage of the BJT Voltage Divider Bias Circuit. Furthermore, it is evident that a 100Ω sense resistor is present in series with the function generator, mirroring the input impedance.sniphe voltage source is noted at 4.986mV, while the input voltage is observed at 18.862mV. College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis Figure 4.4.1 Manual Computations for Output Impedance In Multisim, Oscilloscopes within a BJT Fixed Bias Circuit were utilized to measure the Output Impedance. Proceeding with manual computation, the Output Current (Io) was determined using the formula Io = (Vsource - Vo) / Rsense, where Vsource denotes the source voltage, Vo represents the output voltage, and Rsense indicates the resistor sense. The resulting output current values were found to be 4.3062mA, 0.13876mA, and 9.97008mA, respectively, based on the given values: Vsource (4.976mV, 4.986mV, 4.992mV), Vo (436.596mV, 18.862mV, 1002mV), and Rsense (100, 100, 100). Additionally, the Output Impedance was determined to be 100.3878, 135.9325, and 100.5007. College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis d. Effects of Load and Source Resistance In this section, several load resistors were connected individually to the BJT Fixed Bias Circuit ranging from 1kΩ to 5kΩ. Additionally, this section also includes resistors being connected in series with the function generator which range from 100Ω to 470Ω. Furthermore, the input and output voltages as well as the voltage gain were measured. The procedure was repeated for various source resistors and combinations of load and source resistance. Figure 5.1.1 Measured Input and Output Voltage with 1kΩ Load Resistance Figure 5.1.2 Measured Input and Output Voltage with 2.2kΩ Load Resistance Figure 5.1.3 Measured Input and Output Voltage with 3.3kΩ Load Resistance College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis Figure 5.1.4 Measured Input and Output Voltage with 5kΩ Load Resistance Figure 5.1.5 Measured Input and Output Voltage with 4.7kΩ Load Resistance In the simulation depicted in the figures, an oscilloscope was utilized to measure and acquire the input voltage and output voltage for the BJT Fixed Bias Circuit. Proceeding in manual computation, to get the Voltage Gain (𝐴𝑣) we used the formula located in eq. 1. which is Voltage Gain (𝐴𝑣) is equal to Output Voltage (𝑉𝑜𝑢𝑡) over Input Voltage (𝑉𝑖𝑛) (𝐴𝑣 = 𝑉𝑜𝑢𝑡/𝑉𝑖𝑛). Load Resistance Input Voltage (𝑉𝑖𝑛) Output Voltage (𝑉𝑜𝑢𝑡) Voltage Gain (𝐴𝑣) 1kΩ 𝑉𝑖𝑛 = 4.989mV 𝑉𝑜𝑢𝑡 = 286.294mV 𝐴𝑣 = 57.385 2.2kΩ 𝑉𝑖𝑛 = 4.992mV 𝑉𝑜𝑢𝑡 = 475.365mV 𝐴𝑣 = 95.225 3.3kΩ 𝑉𝑖𝑛 = 4.992mV 𝑉𝑜𝑢𝑡 = 580.315mV 𝐴𝑣 = 116.249 5kΩ 𝑉𝑖𝑛 = 4.992mV 𝑉𝑜𝑢𝑡 = 686.329mV 𝐴𝑣 = 137.486 4.7kΩ 𝑉𝑖𝑛 = 4.992mV 𝑉𝑜𝑢𝑡 = 671.388mV 𝐴𝑣 = 134.493 Table 1. Measured Voltage Value and Voltage Gain From the table we can see that it shows a pattern of rising voltage gain with increasing load resistance levels. To be more specific, as the load resistance grows from College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis 1k to 5k, so does the voltage gain. Thus we can assume that the voltage gain is directly proportional to the load resistance in a BJT Fixed Bias Circuit. Figure 5.2.1 Measured Values with 100Ω Source Resistance (Input Amplifier) Figure 5.2.2 Measured Values with 220Ω Source Resistance (Input Amplifier) Figure 5.2.3 Measured Values with 330Ω Source Resistance (Input Amplifier) Figure 5.2.4 Measured Values with 470Ω Source Resistance (Input Amplifier) College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis From the given figures we can see in the simulation that an oscilloscope was also used in order to measure and obtain the input voltage and the output voltage with respect to the input of the amplifier for the BJT Fixed Bias Circuit. However, in the schematic the load resistor is removed and instead a source resistor connected. Proceeding in manual computation, we also used the same formula in order to get the voltage gain. Figure 5.3.1 Measured Values with 100Ω Source Resistance (Source Voltage) Figure 5.3.2 Measured Values with 220Ω Source Resistance (Source Voltage) Figure 5.3.3 Measured Values with 330Ω Source Resistance (Source Voltage) College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis Figure 5.3.4 Measured Values with 470Ω Source Resistance (Source Voltage) It can be inferred from the simulation that an oscilloscope was utilized to measure and record both the input and output voltages relative to the source voltage for the BJT Fixed Bias Circuit. However, the schematic displayed the removal of the load resistor, with a source resistor being incorporated instead. However, manual computations proceeded using the same formula to derive the voltage gain. Source Resistance Input Amplifier 𝑉𝑖𝑛 𝑉𝑜𝑢𝑡 100Ω 4.577mV 220Ω Source Voltage 𝐴𝑣 𝑉𝑖𝑛 𝑉𝑜𝑢𝑡 𝐴𝑣 982.167mV 214.588 4.992mV 980.516mV 196.417 4.167mV 907.621mV 217.812 4.992mV 907.621mV 181.815 330Ω 3.853mV 848.113mV 220.118 4.992mV 848.113mV 169.894 470Ω 3.519mV 782.331mV 222.316 4.992mV 782.331mV 156.717 Table 2 Combined Value and Voltage Gain of Input Amplifier and Source Voltage From the data provided in the table, it's apparent that there's a diverse trend observed in voltage gain values concerning both the amplifier's input and the source voltage. When considering voltage gain with respect to the amplifier's input, it becomes evident that an increase in source resistance corresponds to higher voltage gain values. However, when measuring voltage gain in relation to source voltage, raising the source resistance value reduces the voltage gain. With this we can say that the voltage gain is directly proportional to the source resistance with respect to the input amplifier, on the other hand the voltage gain is inversely proportional to the source resistance with respect to the source voltage. College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis VII. Conclusion Abagon, Jarry Nash R. The experiment thoroughly investigated transistor-based amplification circuits, exploring diverse circuit topologies and biasing techniques to understand their functionality. A significant finding was the substantial impact of source and load resistances on voltage gain: higher source resistance increased input gain, while increased load resistance amplified overall gain. These results highlighted the crucial role of resistance parameters in shaping transistor amplifier performance. Mastering these relationships is essential for optimizing amplifier circuits across various applications, allowing engineers to tailor designs to meet specific performance requirements effectively. Overall, the experiment provided valuable insights into transistor behavior and its implications for circuit design and optimization. Hands-on experimentation provided practical insights into transistor circuit behavior, crucial for future electronic engineering endeavors. This tactile approach demonstrated how changes in circuit components directly affect amplifier performance. Mastery of these fundamental concepts empowers engineers to make informed decisions in circuit design and optimization, fostering the development of robust electronic systems. The insights gained from this experiment form a solid foundation for advancing our understanding of transistor behavior and its applications in electronic design. Areta, Ralph Jan L. This experiment using transistors as small signal amplifiers provided useful information about the functionality and performance of these amplification circuits. Analysis revealed that different circuit topologies incorporating transistors exhibit a range of key properties that influence signal amplification. It provides an understanding of the significance of biasing techniques in improving amplifier performance and stability. The measured voltage gain patterns with respect to source and load resistance in a BJT Fixed Bias Circuit provide useful information on amplifier behavior. As source resistance increases, so does the voltage gain with respect to the amplifier's input, thanks to the voltage division principle. This happens because increased source resistance causes the source's total impedance to increase, resulting in a larger voltage drop across the load impedance and hence higher voltage gain. When evaluating voltage gain in relation to the source voltage, increasing the source resistance reduces the voltage gain by limiting the amount of voltage available to the amplifier. College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis On the other hand, regarding load resistance, the voltage gain rises as load resistance levels increase. This phenomenon is attributed to the decrease in current flowing through the load as load resistance increases, resulting in a smaller voltage drop across the load resistor. Consequently, a larger portion of the output voltage is developed across the load, leading to an increase in voltage gain. Understanding these relationships between source resistance, load resistance, and voltage gain is crucial for designing and optimizing amplifier circuits for various applications. Bacay, Marc Jian B. This experiment on Transistor Small Signal Amplifiers provided valuable insights into transistor behavior and its impact on circuit performance. We observed that varying source and load resistances affect voltage gain, with increasing source resistance correlating to higher gain at the amplifier's input, while higher load resistance leads to increased voltage gain. Understanding these relationships is crucial for optimizing amplifier circuits for various applications. Through hands-on experimentation, we deepened our understanding of transistor circuits, laying a solid foundation for future electronic engineering endeavors. This practical approach allowed us to observe firsthand how different circuit components and configurations affect transistor amplifier performance. By mastering these concepts, we can make informed decisions in circuit design and optimization, ensuring reliable and efficient electronic systems. Elomina, Isaac C. This experiment, utilizing transistors as small signal amplifiers, has yielded valuable insights into the functionality and performance of such amplification circuits. Through analysis, it has been determined that different circuit topologies incorporating transistors exhibit a spectrum of crucial properties affecting signal amplification. Additionally, it underscores the significance of biasing techniques in enhancing amplifier performance and stability. Conversely, concerning load resistance, voltage gain escalates with increasing load resistance levels. This phenomenon arises from the reduction in current flowing through the load as load resistance increases, resulting in a diminished voltage drop across the load resistor. Consequently, a larger portion of the output voltage is developed across the load, leading to an upsurge in voltage gain. Mastery of these relationships between source resistance, load resistance, and voltage gain is College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis indispensable for the design and optimization of amplifier circuits across various applications. Gupit, Carlos Ruben A. The assessment of an amplifier's amplifying ability through the ratio of output to input is valuable due to its capability to enhance signal amplitude, known as gain. Gain encompasses various unit combinations such as power, voltage, or current ratios. Input and output impedance, representing the proportion of voltage to current flowing through an amplifier's terminals, are significant factors influenced by source supply and load impedance, respectively. Load impedance plays a critical role in circuit behavior under varying conditions, affecting maximum load transmission and time constants in charging and discharging. Employing Multisim for circuit analysis yields approximate values, serving as initial estimations for manual calculations to verify consistency between Multisim data and manual solutions. Through this combined approach, objectives are met in demonstrating the functionality of a Transistor Small Signal amplifier within the specified circuit. Malubag, Rafael John M. In this experiment, we explored how transistors act as small signal amplifiers, which provided us with useful insights into how these circuits work and perform. By looking closely at different circuit setups using transistors, we learned about the various factors that affect signal amplification. We also learned how important it is to set up the transistors correctly to make sure the amplifier works well and stays stable. We found some interesting patterns when we looked at how voltage gain changes with different source and load resistances in a BJT Fixed Bias Circuit. When we increased the source resistance, we noticed that the voltage gain at the amplifier's input also increased. This is because more source resistance means more impedance, which leads to a bigger voltage drop across the load and, therefore, higher voltage gain. Conversely, when we looked at voltage gain concerning the source voltage, we found that increasing the source resistance reduced the voltage gain. This is because more source resistance limits the amount of voltage available to the amplifier. When it came to load resistance, we saw that as load resistance increased, so did voltage gain. This happened because as load resistance went up, less current flowed through the load, resulting in a smaller voltage drop across the load resistor. As a result, more of the output voltage was developed across the load, leading to higher voltage gain. College of Engineering – Department of Electrical Engineering ECE 421 - Electronic Circuits: Devices and Analysis Understanding these relationships between source resistance, load resistance, and voltage gain is important for designing amplifier circuits for different uses.