PHY 132 - RLC Circuits worksheet

.pdf

School

Arizona State University *

*We aren’t endorsed by this school

Course

132

Subject

Electrical Engineering

Date

Dec 6, 2023

Type

pdf

Pages

6

Uploaded by DeanMorning12527

Report
1 R L C C I R C U I T S – W O R K S H E E T Name: Andrew Crist Partners: Hunter, Zainab, Nahom TA: Rekha Joshi DATA & ANALYSIS Part 1 – Resonance Inductor resistance, r : 5.6 (unit: ohms) Load resistance, R : 10.2 (unit: ohms) f (Hz) V R,rms (V) f (Hz) V R,rms (V) 20 .474 200 2.122 40 .879 220 2.092 60 1.229 240 2.046 80 1.522 260 1.991 100 1.753 280 1.929 120 1.925 300 1.865 140 2.039 320 1.801 160 2.104 Table A 180 2.128 Fit coefficient A: 11.11 (unit: ohms/volts) ࠵? = (" !"!#$ ) % $ " % ࠵? %&%’( (from A) = 16.67 (unit: ohms) Fit coefficient B: 2.973 (unit: ohms/volts) ࠵? = () & *) % $ " % Fit coefficient D: 1149 (unit: ohms/volts) ࠵? = ࠵? & = + √*- ࠵? &, exp (from D): 182.87 (unit: Hz) ࠵? &,exp = ࠵? 2࠵? ࠵? &, theo = 182.869 (unit: Hz) ࠵? &, theo = 1 2࠵? ࠵?࠵? % error = 0.0005468% Clean-up (3): Data/Graphs (20/20): Analysis (30): Post Lab Qs (15): Total (88):
2 Table B f (Hz) V R,rms (V) 20 .494 40 1.001 60 1.505 80 1.782 100 1.725 120 1.527 140 1.333 160 1.174 180 1.048 Fit coefficient A: 15.64 (unit: ohms/volts) Fit coefficient B: 11.96 (unit: ohms/volts) Fit coefficient D: 538.9 (unit: ohms/volts) α using coefficient D: 4.2 (unit: radians) estimated μ of steel core: 5.28 * 10^-6 (unit: Tm/A) Part 2 – Phases ࠵? theo = ࠵?࠵?࠵? 6+ - 7 67 ( " . or ࠵?࠵?࠵? 6+ ( " 8 ) ࠵? exp = ࠵?࠵?2࠵? ࠵? ࠵?࠵? = 7.44*10^-5 (unit: s) ࠵? exp = .467 (unit: u) ࠵? theo = .482 (unit: u) % error = 3.11%
3 POST LAB QUESTIONS 1. In part 1, comparing the two data sets, what can you conclude about the effect of the steel core on the resonant angular frequency, ω o ? The data shows that inductance lowers with the steel core inserted. This is because the steel core induces an eddy current, which will lower the inductance and increase angular frequency. 2. In part 1, was the total resistance ࠵? %&%’( you calculate from fit coefficient A different than the 10 Ω load resistance? If yes, what do you think caused the discrepancy? The resistance found by the graph is slightly higher than the resistance written on the resistor. This is likely because of some extra source of resistance in the circuit besides the resistor. 3. In part 2, were ࠵? * (࠵?) & ࠵? - (࠵?) graphs ever in exactly opposite phases, as expected? If not, what do you think caused the extra shift in phase? Comment on the amplitudes of the two voltages before and after entering the resonant frequency. There is a slight shift between the two graphs. This is because the internal resistance of the inductor is not zero.
Your preview ends here
Eager to read complete document? Join bartleby learn and gain access to the full version
  • Access to all documents
  • Unlimited textbook solutions
  • 24/7 expert homework help