lOMoARcPSD|14906348 Lab, Report 2 Electric Circuits (University of Ontario Institute of Technology) StuDocu is not sponsored or endorsed by any college or university Downloaded by ???? Tasman (yahaaay2020@gmail.com) lOMoARcPSD|14906348 Lab 2 Report: The various experiments in this lab explore further on how to use the equipment found in the laboratory to find values such as resistance, voltage, and current in different types of circuits such as series and parallel. In this lab we also use laws like Ohm’s law and Kirchhoff’s law to find the values asked for which can later be compared with the values found using the equipment. The purpose of this lab is to use Kirchhoff’s voltage and current laws to find the voltage and current at the resistors in the circuits. The lab also gives more practice in using nodal analysis to find the voltage at specific nodes in the given circuit. This lab will also allow us to learn how to create the given circuit diagrams on the breadboard so we can find the values that are necessary. Being able to do this will help in confirming the values which were calculated using Kirchhoff’s laws. Components and Instruments used: MultiSim : used in pre-lab to get currents and voltages Resistor kit : contains the resistors used to create circuits on breadboard XK 150 kit breadboard : used to create the circuit and connect wires to find values Agilent power supply : voltage source Agilent digital multi meter : measures circuit current in resistors BNC to Alligator Clips Resistors: 4.7 kohm, 200 ohm (instead of 470 ohm), 10 kohm Procedure: 1. Created Figure 2.3 circuit on breadboard using 4.7 kohm resistor and connected it to the Agilent power supply +25 V connector. 2. Connected digital multi meter to the circuit and measured the current at 4.7 kohm resistor by opening the circuit and putting the DMM in series to the resistor. 3. The voltage was supplied from 0.5 V to 4.5 V in steps of 1 V and the values were put into Table 2.3. 4. A graph was created on Excel using these values. 5. The 4.7 kohm resistor was replaced with a 200 ohm resistor and connect like in step 1. The current was varied from 2 mA to 18 mA in steps of 4mA and reported into Table 2.4. 6. A graph was created using Excel for these values. Verification of Kirchhoff’s Laws: 1. Created a new series circuit like Figure 2.4 on breadboard consisting of resistors 20 kohm, 4.7 kohm, 10 kohm and the voltage across each resistor was found using the DMM and reported into Table 2.5. 2. The same resistors were then connected in parallel and the current into each resistor was measured using the DMM and reported into Table 2.6. *** Did not get to part consisting of Table 2.7 & Table 2.8. Downloaded by ???? Tasman (yahaaay2020@gmail.com) lOMoARcPSD|14906348 Pre-Lab Results: 2.2.1: 1) 1. a. RED RED GREEN 2.2MΩ b. BROWN RED BLACK 12Ω c. ORANGE YELLOW WHITE34000000000Ω 2. a. 2.7kΩ red violet red b. 470kΩ yellow violet yellow c. 10MΩ brown black violet 2.2.2: 1) & 3) look at pre-lab attached for calculations 2) VARIABLE I1 I2 I3 VR1 VR2 VR3 VR4 VR5 CALCULATED 2.5042A 1.6848A 1.6012A 5.0084V 8.194V 13.8237V 1.6012V 7.91856V SIMULATED 2.588mA 1.757mA 1.747mA 1.692V 8.308V 0.049 V 1.742V 8.258V %ERROR 3.2 4.1 8.34 196 1.37 28 8.08 4.11 CALCULATED 10V 16.8903V 29.3548V 0.001425A 0.001689A 0.00377A 0.01A 0.00624A SIMULATED 10V 1.742V 0.049V 0.00208A 0.00699A 0.035211A 0.011678A 0.002463A %ERROR 0 8.6 5.98 31.4 75.8 89.29 9.0 15.3 4) VARIABLE VA VB VC IR1 IR2 IR3 IR4 IR5 Downloaded by ???? Tasman (yahaaay2020@gmail.com) lOMoARcPSD|14906348 Results: Tables: 2.3.1 : Voltage and Current Sources and Measurements Table 2.3: Voltage (volts) Current (m-amps) 0.5 1.5 2.5 3.5 4.5 0.107 0.321 0.535 0.749 0.963 Table 2.4: Voltage and Current in a Resistor Current (m-amps) Voltage (volts) 2 6 10 14 18 0.303 1.102 1.904 2.706 3.512 2.3.2: Verification of Kirchhoff’s Laws Table 2.5: Voltage and Current in a Resistor Element R1 R2 R3 Voltage (volts) 5.774 1.363 2.856 Supply Voltage 10V Table 2.6: Voltage and Current in a Resistor Element R1 R2 R3 Current (mA) Got 0 as value not sure *** 2.142 0.338 Downloaded by ???? Tasman (yahaaay2020@gmail.com) Supply Current 50 lOMoARcPSD|14906348 Graphs: Voltage VS Current Table 2-3 1.2 Current (mA) 1 0.8 0.6 0.4 0.2 0 0 0.5 1 1.5 2 2.5 3 3.5 4 Voltage (V) Current (mA) Voltage VS Current Table 2-4 20 18 16 14 12 10 8 6 4 2 0 0 0.5 1 1.5 2 2.5 3 3.5 4 Voltage (V) Downloaded by ???? Tasman (yahaaay2020@gmail.com) 4.5 5 lOMoARcPSD|14906348 Analysis: 1. Ohm’s law : Voltage = Current( I ) * Resistance ( R ) Lab tasks 2.3.1 and 2.3.2 can show Ohm’s Law by: 2.3.1: Current: comparing to values in table 2.3 R = 4.7 kohm = 4700 ohm V1=0.5V V2=1.5V V3=2.5V V4=3.5V V5=4.5V V1 = R*I1 V2= R*I2 V3= R*I3 V4= R*I4 V5= R*I5 Calculated 0.107 0.321 0.535 0.749 0.963 I1 = V1/R = 0.5/4700 = 0.106382mA I2 = V2/R = 1.5/4700 = 0.319148 mA I3 = V3/R = 2.5/4700 = 0.531914 mA I4 = V4/R = 3.5/4700 = 0.74468 mA I5= V5/R = 4.5/4700 = 0.957446 mA & Simulated 0.106 0.319 0.5319 0.744 0.95744 % difference between methods 0.938 0.5786 0.5784 0.6697 0.5790 Voltage: comparing to values in table 2.4 R = 200 ohm I1=2mA I2=6mA I3=10mA I4=14mA I5=18mA V1 = R*I1 = 0.4 V V2= R*I2 = 1.2 V V3= R*I3 = 2 V V4= R*I4 = 2.8 V V5= R*I5 = 3.6 V Calculated 0.303 1.102 1.904 2.706 3.512 & Simulated 0.4 1.2 2.0 2.8 3.6 % difference between methods 27.59 8.51 4.918 3.41 2.47 2. The % error calculated does not fall within the required tolerance as specified by the tolerance band on the resistors this could be because some values maybe not have been found correctly using multisim giving numbers which could be wrong. Downloaded by ???? Tasman (yahaaay2020@gmail.com) lOMoARcPSD|14906348 3. We didn’t get a chance to build the circuit in 2.3.2, so I’ll be basing this analysis from my estimation. Kirchhoff’s Laws are his voltage law and his current law. Kirchhoff’s voltage law states that the sum of voltage around every closed loop equals zero. Kirchhoff’s current law states that at every node the sum of all current entering a node must equal zero. If we had done the measurements we could have verified our results using KVL and KCL because they would have given us the theoretical values of our measurements. If we had done the experiment, we would’ve seen that the sum of all voltage in each loop would be 0 and at each node the amount of current going into the node would equal the amount of current coming out of the node because the node can’t hold current otherwise it would break the circuit. 4. You would want to use an oscilloscope over a DMM if you want to measure voltage in a lot of detail. An oscilloscope can plot two voltages at the same time. This allows you to compare the two voltages and how they affect the circuit. An oscilloscope can also measure how the voltage is changing over time. A DMM only measures the average voltage level. You would also use an oscilloscope if you wanted to plot the waveforms against time. 5. Some difficulties that we had with the lab was that we found it difficult to operate the machines. We would have to constantly call the TA over to our table and ask her to show us what to do and that took up a lot of the time. The appendix is very confusing in their explanations. I think that having links to short YouTube videos that shows how each device works would be very helpful. Another minor difficulty we had was getting used to the breadboard. We had trouble figuring out whether our resistors were connected and whether they were in series or in parallel with each other. One thing about this lab is that we ran out of time and did not get a chance to build the final circuit. Summary: In this lab we have learnt how to use the laboratory equipment correctly and how to use them to find the values for specific quantities such as voltage and current in this lab. Some errors in this lab could be the way the circuit was made on the bread board. Also looking back at the prelab another error could be when calculating the values and using multisim to confirm the values. Some difficulties faced at the beginning of the lab was not being sure if we were connecting the equipment correctly to the circuit on the bread board and changing the settings on the DMM. In concluding this lab has given us a better understanding of how to use the equipment for upcoming labs and gave us more practice on using Ohm’s Law, Kirchhoff’s Law and Nodal Analysis for parallel and series circuits. Downloaded by ???? Tasman (yahaaay2020@gmail.com)