Series AC circuits Would you please tell me if my calculations for I and Zmeas a

Question

Series AC circuits

Would you please tell me if my calculations for I and Zmeas are right? I did Vr/100=Irms and 1/I=Zmeas

Also, I don't know how to calculate for Z theory, if you could explain this will be great. I know that C= 0.3 uF but I also have to calculate Zres, RL, and L

Data Sheet 1 Part A Data Table Vin = Vz-IV R-100 frequency VR (rms)P I (rms) Amps 10,0001 f (Hz) Volts (ohms) (ohms) SA 63. 1S 564,102 10-Dla 100 200 10.03 300 0, 052 500. 1010.10 800 0, 1s 1200 | 0.2 1600 ,4do 2000 . 6 2200 | 021 2400 .150 0.091S 10.0021 7G 36.3A 2000 064 0.00 0:03646 00646 133·49 155.33 153, 69 2600 0,721 2600 -72 0.669 2800 0.664 10 3500 . uS3 4000 0. 363 5000 0.2S 0.15 s,44 532,22 000453 0.00363 45000.30 Resonance tt Zrs

Explanation / Answer

Yes your calculatons are right,

I = Vr/R

and Zmeas = Vz / I

Resonace fequency is given, f =2400

2pi f = sqrt (1/(LC))

(2 pi *2400)^2 = 1/LC

L = 1/[0.3*10^-6*(2 pi *2400)^2] = 0.01466 H

RL = 100*0.014466 = 1.4466 s

Ztheory = sqrt [R^2 + (2pi f L -1/(2pif C))^2 ]

sqrt stand for square root,

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