Ali 1 Arif Ali EGM 4045 Lab 004 Lab 1: Basic Resistor Circuits Abstract: In this lab, I have successfully demonstrated how to use a breadboard to build simple electric circuits, learned how to use a digital multi-meter (DMM) to perform basic measurements, and analyzed and compared the experimental results with predicted results based on circuit theories. Additionally, I incorporated essential formulas, including Ohm's Law and the Voltage Divider Formula, into my calculations to ensure accurate analysis and prediction of circuit behavior. EGM 4045 Electro-Mechanical Devices Lab 1: Basic Resistor Circuits In this lab, you will learn how to use a breadboard to build simple electric circuits, learn how to use a digital multi-meter (DMM) to perform basic measurements and analyze and compare the experimental results with predicted results based on circuit theories. MATERIALS • • 1 1K and 1 220 resistors 1 breadboard w/ jumper wires TOOLS • • • 1 digital multimeter 1 9V alkaline battery 1 power supply module (9V to 5V) BACKGROUND SECTION Digital Multi-Meter In this exercise, you will be measuring resistance and voltage quantities using a DMM similar to the one shown on the right. The yellow button is a power ONOFF button that turns the meters on and off. There are two cables that come with the DMM (one red and one black). This DMM can measure four different physical quantities (frequency, current, voltage, and electrical resistance) by adjusting the center dial to the appropriate setting. In this exercise, you will be measuring electrical resistance (dial setting marked with a symbol), and voltage (dial setting marked with V) quantities. To measure voltages or resistances, the black cable should be connected to the circuit ground (COM), and the red cable connected to (HzV). Note that the LCD display shows four significant figures (SFs). Make sure you record measurements with the correct number of SFs. NOTE: You will be using the DMM heavily in this course so make sure you are comfortable about using the device and how to interpret the readings. 1 Basic Breadboard Usage A breadboard is a solder-less device that can be rows used to build simple, temporary electric circuits. Since there is no soldering involved, circuits can be modified very easily, and a breadboard is ideal for testing circuits or teaching basic circuit principles. The figure on the right shows a simple breadboard, which consists of 12 rows and 23 columns columns of pinholes. These rows and columns are sometimes labeled with alpha-numerals so that you can uniquely reference any of the pinholes with the combination of a number and a letter. For example, b5 corresponds to the pinhole in row b and column 5. The five pinholes in every column (b-f) or (g-k) are electrically connected together so that you can build a circuit with multiple connections using the breadboard. However, the pinholes associated with b-f of any column are not connected to those associated with g-k. In addition, rows a and l have different connectivity. All pinholes in each of these rows are electrically connected. Before you mount any electrical component on the breadboard, you should think of how every component should be laid out on the breadboard, especially when dealing with complex circuits. > PRE-LAB SECTION Go over the following tutorial videos before you start this lab. Breadboard Overview https://www.youtube.com/watch?v=pmEey8Ik4s0&list=PLnfDbUqQxHUBu22 JBkRsIoOyb9KS9IeBO&index=2&t=3s Resistor’s Color Code https://www.youtube.com/watch?v=n9RqQiT12k&list=PLnfDbUqQxHUBu22JBkRsIoOyb9KS9IeBO&index=12&t=0s General DMM Function https://www.youtube.com/watch?v=XgcsZX0e33g&list=PLnfDbUqQxHUBu22 JBkRsIoOyb9KS9IeBO&index=3&t=0s Voltage Measurements Using DMM https://www.youtube.com/watch?v=a359EBVsKQQ&list=PLnfDbUqQxHUBu2 2JBkRsIoOyb9KS9IeBO&index=4 Current Measurements Using DMM https://www.youtube.com/watch?v=auwHxUlpaTM&list=PLnfDbUqQxHUBu 22JBkRsIoOyb9KS9IeBO&index=9 2 IN-LAB SECTION Part 1 Two-Resistor Series Circuit Connect two resistors (220 and 1K) in series as shown in Figure 1. The numbers in pink are the node numbers. In this example, you need six pinholes for the connection. Build this circuit on your breadboard. Figure 1: A two-resistor series circuit (left: schematic, right: wiring diagram) Out of Circuit Measurements Using DMM 1. 220 actual resistance using DMM 2. 1000 actual resistance using DMM 216 ___________ 986 ___________ Now, connect the resistors and the 9V source on the breadboard, and measure the following voltage and current quantities using the DMM. In-Circuit Measurements Using DMM 1. Voltage across the 5V source 2. Voltage across the 220 resistor 3. Voltage across the 1K resistor 4. Current in the loop 4.84 ___________V 0.886 ___________V 4.046 ___________V 4.08*10^-3 ___________A Part 2 Two-Resistor Parallel Circuit Connect two resistors (220 and 1K) in parallel as shown in Figure 2. Figure 2: A two-resistor parallel circuit (left: schematic, right: wiring diagram) In-Circuit Measurements Using DMM 1. Voltage across the 5V source connected in circuit 2. Current by the 5V source 3 4.938 ___________V 0.0257 ___________A 0.0205 ___________A 0.0047 ___________A 3. Current through 220 4. Current through 1000 POST-LAB SECTION Part 1 Two-Resistor Series Circuit • Include all actual measurements • Calculate the voltage across each of the resistors using the in-lab measurements of R1, R2, and the voltage source. Show all the steps • Compare the calculated and measured values by computing the percent of errors. Show all the steps Part 2 Two-Resistor Parallel Circuit • Include all actual measurements. • Calculate the current through each of the resistors using the in-lab measurements of R1, R2, and the voltage source. Show all the steps • Compare the calculated and measured values by computing the percent of errors. Show all the steps NOTE: The post-lab work should be submitted to Canvas as a PDF file by the following Friday at noon unless otherwise stated. 4 CALCULATIONS V 1R Series -(10) Ri: Voltage through 2202 Resistor R2:5 resistor 12 Total current:i 0.90,63 v = (100) Voltage through 1000 Re:1000 R,:220 = = v 4.0983 = 0.0040983 A = PercentError: R, Voltage through R2 Voltage through Total - = C 0.886 -0.90163 0.90163 C 4.046 - 4.0983 4.0983 (4.84=5 Voltage S x100 S x100 (x100 = 1.734% = 1.276% = 3.2% = Parallel. Current through Current through I, 5 = I2 - 220 0.0227 = & 1000 220 resistor A resistor - = 1000 A 0.005 = IT Total= Current = IT = 80327 R - (, 2)" + = = 0.0277 150.32x = A PercentError: through current through current R, R2 - C 0.0205-0.0227 0.0227 (0.0047 = -0.005 0.005 Total Current C =0.0257-0.0227 0.0277 S x100 S x100 C x100 = 9.69% 6% = 7.22% = Calculations Series: R1 = 220 Ω R2 = 1000 Ω Voltage through R1 : 5 R2 : 5 = 0.90163V = 4.0983V Total Current: 𝑖 = = 0.0040983A Percent Error: For Voltage through R1= . For Voltage through R2= . Total Voltage through = . × 100 = 1.734% . . × 100 = 1.276% . . × 100 = 3.2% Parallel: I1 = 5V/220 Ω = 0.0227A I2 = 5V/1000 Ω =0.005A Equivalent Resistance: Total Current: 𝑖 = . = 180.327 Ω + = 0.0277A Percent Error: For Current through R1= . For Current through R2= . Total Current through = . . . . . . . × 100 = 9.69% × 100 = 6% × 100 = 7.22%