# RLC Circuits and Build an Inductor Lab Report

Anonymous
account_balance_wallet \$15

### Question Description

RLC Circuits and Build an Inductor

electromagnetic lab report .

please no plagiarism !!! 0% similarity

I will attach the sample in word file also the other word file for the instructions and the PDF lab experience that is information you need to use in lab report 1.5 pages or 2 pages only. to support it i will attach in PDF a pre lab

Scanned by CamScanner Scanned by CamScanner Scanned by CamScanner Scanned by CamScanner Scanned by CamScanner Scanned by CamScanner Scanned by CamScanner Scanned by CamScanner Scanned by CamScanner Scanned by CamScanner
Laboratory #7 EE Science II Laboratory #7 RLC Circuits and Build an Inductor Pre-Laboratory Assignment 1. Read the lab summary and answer the following questions (3 Points): a. How can you build a simple inductor? List some characteristics of the materials that you will need to use. A simple inductor is constructed by winding a wire around a core. The material chosen should have sufficient inductance, easy to handle and have known permeability. A simple inductor can be built using an enameled copper wire. The wire is wounded on a dimeter rod to produce a coil. The insulator in both ends are removed so that they can be soldered. The wire that is used should conduct electricity and is insulated. b. How can an RLC circuit be used to measure inductance? The ability of the circuit to exhibit resonance at a certain frequency is used to measure inductance. c. After you finish your experiment, how will you know that you can trust the results? The results will be knonby recreating a circuit with known inductance and compare. 2. A series RLC circuit, with R = 10 Ω, L = 5 μH, C = 10 μF, is connected to an AC signal source Vs = Vo sin (2πft) as shown in Figure 1. Figure 1: RLC circuit for Problem 1 Answer the following questions: a. What is the reactance of the inductor, XL if the frequency of the source is 23 kHz? XL = __0.723Ω__ (note: write down the unit for full credit) (0.5 Points) 𝑋𝐿 = 2𝜋𝑓𝐿 = (2𝜋 𝑥 23𝑘𝐻𝑧 𝑥 5.0𝑥10−6 = 0.723 b. What is the reactance of the capacitor, XC if the frequency of the source is 23 kHz? XC = ____1.445Ω___ (note: write down the unit for full credit) (0.5 Points) 𝑋𝐶 = c. 1 1 = = 1.445 2𝜋𝑓𝐶 2𝜋 𝑥 23 𝑘𝐻𝑧 𝑥 1.0𝑥10−5 What is the total impedance of the circuit for a frequency of 23 kHz? Z = _____10.03Ω_____ (note: write down the unit for full credit) (0.5 Points) 𝑍 = √𝑅2 + (𝐿 − 𝐶)2 𝑍 = √(102 + (0.723 − 1.445)2 = 10.03 d. The resonance frequency of an RLC circuit is the frequency at which the impedance is purely resistive. Calculate the resonance frequency of the circuit in Figure 1. Hint: Since the impedance is purely resistive, the net reactance must be zero. (1 Point) 𝐹𝑟 = e. 1 2𝜋√𝐿𝐶 = 1 2𝜋√5.0𝑥10−6 𝑥 1.0𝑥10−5 = 22.5𝑘𝐻𝑧 An RLC circuit is in resonance and the voltages across the resistor, inductor, and capacitor are expressed by the following equations: VR = VR, max sin (2πft) VL = VL, max sin (2πft + π/2) VC = VC, max sin (2πft - π/2) i. ii. Identify which voltage leads VR and lags VR and by what phase angle. ? VL leads VR and VL lags VR by 900 Suppose that the normalized voltage across each component was measured using an oscilloscope plotted in Figure 2. Match the plots to the component. (0.5 Points) 1 Laboratory #7 Figure 2: Identify which plot corresponds to the voltage across which component. Plot #1: VC Plot #2: VR Plot #3: VL 3. An inductor (solenoid) is built by wrapping an insulated copper wire N =12 times around a ferrite rod of diameter, D = 9.45 mm and length l = 41.3 mm. The insulated copper wire has a diameter, d = 0.645mm. Therefore, the length of the inductor is given by lc = N× d. The relative permeability of the ferrite, μ r is 13. From the lecture notes, you know that the inductance of a solenoid is given by µN2S L= l Where S is the cross-sectional area of the solenoid. This equation assumes that the length of the solenoid is equal to the length of the ferrite. In this problem however, the length of the inductor (solenoid) is less than that of the ferrite i.e. lc < l. Therefore, the equation is modified to – KµN2S L= l Where K is a constant called the inductance modifier. Use the above equation to calculate the inductance for K = 2.5. Copy your values into Table 1 of the lab experience. (3 Points) Inductance modifier, K 2.5 Relative permeability, μr 13 μ = μ0 μr (13 𝑥 1.257𝑥10−12 ) = 1.634x10-5 Diameter of ferrite, D 9.45 mm 𝝅𝑫𝟐 Cross sectional area of ferrite, S ( 𝟐 = (𝝅𝒙𝟗. 𝟓𝟐 𝟐 = 70.15mm Length of ferrite, l 41.3 mm Length of inductor, lc = 𝑵𝒙 𝒅) = (𝟏𝟐𝒙𝟎. 𝟔𝟒𝟓) = 7.74mm Number of turns, N 12 Inductance, L (μH) = 2.5𝑥 1.634𝑥10−5 𝑥12𝑥70.15 41.3 = 9.99mH For detailed information on how K is calculated, refer to the appendix of the lab experience. 2
Lab: __#___Title:__(10 pt font)_____ Date: 00/00/2017 Name: ____(10 pt font) ________ Lab Partner(s):__(10 pt font)__________ SUMMARY OF RESULTS AND DISCUSSION (PARAGRAPH STYLE , 12 PT FONT, SINGLE SPACE ) In this section, you should summarize and analyze your results. In other words, tell me what you learned and what the results mean to you. Things to avoid: • • Don’t write EVERY step you did in class (I connected the function generator to the oscilloscope, then I turned it on…etc) Do not rewrite the lab manuscript . Things to include • • • • • • Knowledge about the equipment and attachments (Eg: “Channel 1 of the oscilloscope is connected across the input of the circuit and channel 2 across the capacitor. The configuration allows you to compare the output with the input.”) Understand results (what each or group of values mean to you) If there are too many results you can create a table Graphs and equations are also acceptable (reference them in your text) Guide me though the whole lab exercise using your own words and understanding Something in the lab that you did not understand or results not clear to you EXPERIMENTAL QUESTIONS (PARAGRAPH STYLE , 12 PT FONT, SINGLE SPACE ) • Answer/complete any additional questions asked during/ at the end of the lab experiment LAB IMPROVEMENTS (THIS IS OPTIONAL , BUT HELP US IMPROVE THE LABS!) • • Tell us what went wrong and what can be done to avoid those mistakes in the future Mention any lab procedures that were confusing General rules: Minimum of 1/2 page written (be creative, I don’t want to see reports less than one full page) Maximum of 1 page written (include figures/graphs/tables on extra pages) Body Format: font size - 12pt (Times New Roman), Spacing - Single This post lab report must be stapled on the front of the completed lab experience. Additionally, a copy of this report must be submitted online via canvas (you do not have to submit the completed lab experience online). Maximum grade of 50% (5/10) if signed lab experience not included.

achiaovintel
School: UIUC

Attached.

Surname 1
Name
Professor
Course
Date
RLC Circuits and Build an Inductor Lab Report
1.

Summary

The main purpose of the experiment was to investigate RLC circuits. For purposes of the
experiment function generator (Keysight 33500B) and an oscilloscope (Tektronix TDS 3052)
were used. The experiment consisted of three parts. In part I, we built the inductor. First, we
filled table 1 of the lab manual with values from the prelab results. Then we were given
components to identify; a resistor, a capacitor, magnet wire, ferrite rod, sandpaper, and rubber
band. We then used the magnet wire, ferrite rod, sandpaper, and rubber band to build the
inductor by following the steps enumerated in the lab manual. Part II of the experiment involved
assembling and testing the RLC circuit. First, we used a multimeter to measur...

flag Report DMCA
Review

Anonymous
Top quality work from this guy! I'll be back!

Brown University

1271 Tutors

California Institute of Technology

2131 Tutors

Carnegie Mellon University

982 Tutors

Columbia University

1256 Tutors

Dartmouth University

2113 Tutors

Emory University

2279 Tutors

Harvard University

599 Tutors

Massachusetts Institute of Technology

2319 Tutors

New York University

1645 Tutors

Notre Dam University

1911 Tutors

Oklahoma University

2122 Tutors

Pennsylvania State University

932 Tutors

Princeton University

1211 Tutors

Stanford University

983 Tutors

University of California

1282 Tutors

Oxford University

123 Tutors

Yale University

2325 Tutors