Measuring on serial resonance circuit

Author What is a resonance circuit? Connection of resonance circuits Measuring scheme of resonance circuit Important concepts Important formulae Measuring procedure Table preview Simply resonance curve Comparatively resonance curve Ending

Content

Author

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What is a resonance circuit?It is a rezistor, capacitor and inductor connectionWhen is resonance circuit in situation when is equal XC and XL then this situation called reverberation.This circuit in reverberation is behave like active resistance.

Series circuitsParallel circuits

Kinds of resonance circuits

Connection of resonance circuits

Measuring scheme of resonance circuit

Important concepts

resonance situation = reverberationProperties on resonance frequencyQuality factorCharakteristics:

- resonance curves:- simply - U=f(f)- comparatively - U/UREZ=f(f/fREZ)

Important formulae

Z=Rs+jωL-j1/(ωC)=Rs+j(ωL-1/(ωC)

fREZ=1/(2π√LC)

Q0=(ω0L)/RS0

Q0=1/(ω0CRS0)

Q0=(fMAX+fMIN)/(fMAX-fMIN)

Z-impedance

Rs-resistance

L-inductance

C-capacity

fREZ-resonance frequency

Q0-quality factor

fMAX-maximum frequency

fMIN-minimum frequency

Measuring procedure

• We calculated fREZ for given C a L in this circuit.• We then connection circuit under scheme.• We are set correct frequency on the generator that consistent

with calculated value fREZ for C and L.• We calculated UREZ√2 with help of UREZ(voltage at fREZ) that

consistent with decrease about 3 dB.• We are set up frequency on the generator from fMIN(consistent

with decrease about 3 dB) until fMAX(consistent with decrease about 3 dB) and measuring voltage. fREZ lie between fMIN and fMAX.

Table preview

L= 2,98 mH (400 závitů) L= 2,98 mH (400 závitů) L= 2,98 mH (400 závitů)C= 10 uF fmax= 1025 Hz C= 10 uF fmax= 1320 Hz C= 10 uF fmax= 2910 Hz

R2= 0 Ohmů fmin= 810 Hz R2= 10 Ohmů fmin= 675 Hz R2= 30 Ohmů fmin= 380 Hz

fo1vyp= 921,96 Hz fo2vyp= 921,96 Hz fo2vyp= 921,96 Hzf(Hz) U(V) U/Uo f/fo F B3 Q f(Hz) U(V) U/Uo f/fo F B3 Q f(Hz) U(V) U/Uo f/fo F B3 Q

650 2,55 3 0,70 -0,71 1,20 8,53 280 6,75 3 0,30 -2,99 3,18 3,09 20 9,7 2,32 0,02 -46,08 5,91 1,30709 2,1 2,47 0,77 -0,53 1,20 8,53 524 4 1,78 0,57 -1,19 3,18 3,09 100 8,9 2,13 0,11 -9,11 5,91 1,30768 1,53 1,8 0,83 -0,37 1,20 8,53 768 2,6 1,16 0,83 -0,37 3,18 3,09 250 6,9 1,65 0,27 -3,42 5,91 1,30827 1,09 1,28 0,90 -0,22 1,20 8,53 922 2,25 1 1,00 0,00 3,18 3,09 500 4,8 1,15 0,54 -1,30 5,91 1,30886 0,89 1,05 0,96 -0,08 1,20 8,53 1012 2,38 1,06 1,10 0,19 3,18 3,09 850 4 0,96 0,92 -0,16 5,91 1,30922 0,85 1 1,00 0,00 1,20 8,53 1256 3 1,33 1,36 0,63 3,18 3,09 922 4,18 1,00 1,00 0,00 5,91 1,30945 0,88 1,04 1,02 0,05 1,20 8,53 1500 3,8 1,69 1,63 1,01 3,18 3,09 1800 4,8 1,15 1,95 1,44 5,91 1,30

1004 1,1 1,29 1,09 0,17 1,20 8,53 1744 4,22 1,88 1,89 1,36 3,18 3,09 4200 7,2 1,72 4,56 4,34 5,91 1,301063 1,43 1,68 1,15 0,29 1,20 8,53 1988 5,2 2,31 2,16 1,69 3,18 3,09 24000 9,2 2,20 26,03 25,99 5,91 1,301122 1,8 2,12 1,22 0,40 1,20 8,53 2232 5,8 2,58 2,42 2,01 3,18 3,09 80000 9,5 2,27 86,77 86,76 5,91 1,301181 2,16 2,54 1,28 0,50 1,20 8,53 2476 6,2 2,76 2,69 2,31 3,18 3,09 150000 9,5 2,27 162,69 162,68 5,91 1,301240 2,55 3 1,34 0,60 1,20 8,53 2720 6,75 3 2,95 2,61 3,18 3,09 220000 9,5 2,27 238,61 238,61 5,91 1,30

Simply resonance curve

650 709 768 827 886 922 945 1004 1063 1122 1181 12400

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2

3

4

5

6

7

8

9

10

L = 2,98 mH, C = 10 uF, R = 0, 10 a 30 Ohmů, frez = 922 Hz

f (Hz)

U (V

)

Comparatively resonance curve

0

0.5

1

1.5

2

2.5

3

3.5

L = 2,98 mH, C = 10 uF, R = 0, 10 a 30 Ohmů, frez = 922 Hz

f/f0

U/U0

Ending

Comparatively resonance cuve is better than simply resonance curve.

I thanks for your attention