Question
need help finding table 2.3
LRC Circuits Table 2.1 (15 points) 10 20 30 40 50 90 100 110 120 130 140 150 a A 70 80 Complete Table 2.1 by calculating the current passing through the resistor for each frequency, and record the values. Show work 584 .65 84 A 187 ID 10 377 b377A Table 2.2 (2 points) tem Inductance Resistance Capacitance Value 30 mH Table 2.3 (5 points) Experimental Resonant angular frequency, Theoretical resonant angular frequen 1. In Excel, or some other graphing program, from the data from Table 2.1 plot Current vs. Frequency. (15 points) The Current vs. Frequency graph should be nearly symmetrical about a particular frequency What frequency is it nearly symmetrical about, and why? (5 points) 2.
Explanation / Answer
fr = 1/(2*pi*sqrt(LC))
where L is the inductance and C = capacitance
substitute values of L and C as in table 2.2
fr_theoretic = 91.888 Hz
wr_theoretic = 2*pi*fr_theoretic = 577.35 rad/s
fr_experimental = 90 Hz
wr_experimental = 2*pi*fr_experimental = 565.49 rad/s