Lab 8 Report

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School

Community College of Philadelphia *

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102

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Electrical Engineering

Date

Jan 9, 2024

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Uploaded by PresidentValorTarsier8

Experiment 8 1 Purpose The purpose of this experiment is to use a function generator and an oscilloscope to measure the rms voltage and maximum voltage values, and calculate the rms voltage (V rms ) values to determine the percent error between measured and calculated values of V rms . Procedures Part 1: Three resistors 1, 2, 3 with values of 1 kΩ, 2 kΩ, 3 kΩ respectively, were connected in series on the circuit. Next, the function generator was turned on and set to “SYS MENU” to apply “High Z”. One BNC connector was connected to the “Output” socket on the function generator, and two alligator clips were connected to one end of resistor 1 and one end of resistor 3. Then, the oscilloscope was turned on. One BNC connector was connected to channel 1 output of the oscilloscope, one alligator clips and one oscilloscope probe were connected to each end of each resistor to measure V max and V rms of three resistors respectively. The values of V max and V rms were displayed on the screen of the oscilloscope and were recorded. Part 2: R 1 = R 3 = 1 kΩ , R 2 = R 4 = 2 kΩ, and R 5 = R 6 = 3 kΩ were built by the following circuit (R 1 //R 2 ) in series with R 3 in series with (R 4 //R 5 ) in series with R 6 . Equipment setup and voltage measurement were same as part 1. The values of V max and V rms were recorded. Calculate the V rms values to determine the percent error between measured and accepted values of V rms , where accepted values are the calculated values by the formula V rms = V max √ 2 .

Experiment 8 2 Data Sheets ► In series: Resisto r V max in [V] V rms in [V] 1 0.750 0.529 2 1.656 1.175 3 2.469 1.737 ► In parallel: Resisto r V max in [V] V rms in [V] 1 0.5625 0.385 2 0.7812 0.544 3 1.031 0.7172 4 2.562 1.797

Experiment 8 3 Calculations *Formulas: V rms = V max √ 2 and % Error = | Mesured − Accepted Accepted | x 100% A. In series I. V rms values (1) V rms = 0.750 √ 2 = 0.530 [V] (2) V rms = 1.656 √ 2 = 1.171 [V] (3) V rms = 2.469 √ 2 = 1.746 [V] II. Percent error between the measured and calculated values of V rms (1) % Error = | 0.529 [ V ] − 0.530 [ V ] 0.530 [ V ] | x 100% = 0.19% (2) % Error = | 1.175 [ V ] − 1.171 [ V ] 1.171 [ V ] | x 100% = 0.34% (3) % Error = | 1.737 [ V ] − 1.746 [ V ] 1.746 [ V ] | x 100% = 0.52% B. In parallel I. V rms values (1) V rms = 0.5625 √ 2 = 0.398 [V] (2) V rms = 0.7812 √ 2 = 0.552 [V] (3) V rms = 1.031 √ 2 = 0.729 [V] (4) V rms = 2.562 √ 2 = 1.811 [V] II. Percent error between the measured and calculated values of V rms (1) % Error = | 0.385 [ V ] − 0.398 [ V ] 0.398 [ V ] | x 100% = 3.27%

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Experiment 8 4 (2) % Error = | 0.544 [ V ] − 0.552 [ V ] 0.552 [ V ] | x 100% = 1.45% (3) % Error = | 0.7172 [ V ] − 0.729 [ V ] 0.729 [ V ] | x 100% = 1.62% (4) % Error = | 1.797 [ V ] − 1.811 [ V ] 1.811 [ V ] | x 100% = 0.77% Answers to Questions 1. The workstation was cleaned and all the parts for the lab were returned to the workstation drawer.  True

Experiment 8 5 Analysis and Discussion The experiment went well because the setup of the circuit and equipment was not difficult, and the results were easy to obtain. Percent error between the measured and calculated values of V rms is very low, which is less than 1% in series circuit and less than 3.5% in parallel circuit. Personal errors such as vision or action during the experiment by the tester could adversely affect the accuracy of the results, so the measured results do not completely match the calculated results. The purpose of the experiment was achieved.