Analyzing the data 1. From the graph find the linear resonant frequency, fres. 2

Question

Analyzing the data

1. From the graph find the linear resonant frequency, fres.

2. Using the resonant frequency fre, calculate the resonant angular frequency, res and record the value in the Table 2.

3. Calculate the theoretical resonant angular frequency using the values of the inductance and capacitance.

4. Compare the theoretical resonant frequency to your measured resonant frequency.

Please show calculations

Lab 9 Word File Home Insert Design Layout References Mailings Review View g me what you want to do Tell Table 2 Item Value Inductance 8 mH 100 Resistance 100 HF Capacitance Resonant Frequency (linear) Hz Resonant Angular Frequency Fradls Theoretical Resonant Angular Frequency rad/s Graph Lab 9 0.7 0.3 0.2 0.1 300 500 Frequency Page 4 of 5 623 words Type or talk to search ashani mcdonald X share 8:28 PM A 4/10/2017

Explanation / Answer

1. From the graph the linear resonant frequency, f_res = 180 Hz

2) w_res = 2*pi*f_res

= 2*pi*180

= 1231 rad/s

3) resonance takes place when, XL = XC

2*pi*f*L = 1/(2*pi*f*C)

f = 1/(2*pi*sqrt(L*C))

= 1/(2*pi*sqrt(8*10^-3*100*10^-6))

= 178 Hz

4) theoritical angular frequency, w = 2*pi*f

= 2*pi*178

= 1118 rad/s

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