Help with Table 1 Math ShousFiss Table 1 Linear # of frequency divisions div Hz)

Question

Help with Table 1 Math

ShousFiss Table 1 Linear # of frequency divisions div Hz) 20 40 60 80 100 125 150 175 200 225 250 275 300 350 400 500 Table 2 Item Inductance Resistance Value mH S2 Capacitance Resonant Frequency (linear) Resonant Angular Frequency uF Hz rad/s rad/s Theoretical Resonant Angular Frequency Questions 1. How does your measured value of resonant angular frequency compare to the theoretical value of resonant angular frequency? 2. Is the plot of the current, I, versus frequency, f, symmetrical about the resonant frequency? Explain. 3. At resonance, Xi -Xc so that the impedance (Z) is equal to the resistance (R). Calculate the resistance of the circuit by using the amplitude of the current at resonance in the equation R Vil, where V is the amplitude of the applied voltage. Is this resistance equal to 10 ohms? Why not? 38

Explanation / Answer

XC = (1 / 2*f*C), where 'f' is the frequency and 'C' is the capacitance

XL = 2*f*L, where 'f' is the frequency and 'L' is the inductance

Impedace (Z) = [R2 + (XL - XC)2]

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