Calculate all the values from the formulas given below: Area = 402.88mm^2, Capacitance = 1.11592 x 10^-10 F length = 12.03 mm, fr (resonance frequency) = 108828.238, fa (anti resonance frequency) = 145987.807, Diameter of cylinder = 4mm, Mass of cylinder = 4.38g,

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Calculate all the values from the formulas given below: Area = 402.88mm^2, Capacitance = 1.11592 x 10^-10 F

length = 12.03 mm, fr (resonance frequency) = 108828.238, fa (anti resonance frequency) = 145987.807, Diameter of cylinder = 4mm, Mass of cylinder = 4.38g, 

D
$33
=
-
closed circuit
1-K33
d33 = K33 (3333)
1
Qm
2лfrZmСp 1- (17
free capacitance C or capacitance Cp(F), length of sample I (m), the area of the
electrodes A (m²), permittivity 33 (F/m), resonance frequency f, or antiresonance
frequency fa (Hz), density p (g/cm³), elastic compliance constant s½ 3 or s√3 (m²/N),
piezoelectric constant d33 (C/N), Impedance Zm (Q).
Transcribed Image Text:D $33 = - closed circuit 1-K33 d33 = K33 (3333) 1 Qm 2лfrZmСp 1- (17 free capacitance C or capacitance Cp(F), length of sample I (m), the area of the electrodes A (m²), permittivity 33 (F/m), resonance frequency f, or antiresonance frequency fa (Hz), density p (g/cm³), elastic compliance constant s½ 3 or s√3 (m²/N), piezoelectric constant d33 (C/N), Impedance Zm (Q).
The formulae for Longitudinal length mode dielectric and piezoelectric coefficients are:
A
C = €3333
€33-8.854×10-12 F/m
2
l
3√3 = C
Αχε
€33 = C
Coupling factor² = (Converted Energy)2/(Supplied Energy)²
k√33
=
fr
플레이(플)
2 fa
cot
$333
=
1
4pfal²
-
open
circuit
Transcribed Image Text:The formulae for Longitudinal length mode dielectric and piezoelectric coefficients are: A C = €3333 €33-8.854×10-12 F/m 2 l 3√3 = C Αχε €33 = C Coupling factor² = (Converted Energy)2/(Supplied Energy)² k√33 = fr 플레이(플) 2 fa cot $333 = 1 4pfal² - open circuit
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