10 1.11 20 1.65 25 2.60 26 2.98 28 4.34 29 5.68 30 8.25 30.6 11.14 31 14.11 31.4
ID: 2065109 • Letter: 1
Question
10 1.11
20 1.65
25 2.60
26 2.98
28 4.34
29 5.68
30 8.25
30.6 11.14
31 14.11
31.4 17.8
31.6 19.34
31.8 20.00
32 19.46
32.2 17.95
32.6 14.12
33 10.99
33.4 8.79
34 6.64
35 4.63
36 3.51
38 2.33
40 1.72
50 0.68
75 0.22
100 0.11
1. What is the resonant frequency of this system (in kHz), according to this data?
2. If the capacitance of this system is 0.08 F, determine the value of the inductance L, in mH.
Explanation / Answer
a)
Frequency f Amplitude (V)
(kHz)
1.00 1.00
10 1.11
20 1.65
25 2.60
26 2.98
28 4.34
29 5.68
30 8.25
30.6 11.14
31 14.11
31.4 17.8
31.6 19.34
31.8 20.00
32 19.46
32.2 17.95
32.6 14.12
33 10.99
33.4 8.79
34 6.64
35 4.63
36 3.51
38 2.33
40 1.72
50 0.68
75 0.22
100 0.11
the resonant frequency of this system is 31.8 kHz (Where the amplitude V is maximum)
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b)
= 2f = 1/(LC)
>>>> L = 1/((2f)2*C) = 1/((2*3.14*31800)2*0.08e-6) = 0.31 mH
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