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A piezoelectric transducer having a wafer of piezoelectric crystal material with a relative permittivity of 700 ...


42. A piezoelectric transducer having a wafer of piezoelectric crystal material with a relative permittivity of 700 is sandwiched between two plated electrodes. The plate dimensions is 5 mm × 5 mm. The piezoelectric crystal material has a thickness 2 mm. When a force of 10 N is applied, the piezoelectric transducer produces an output voltage of 40 V. The respective value of its voltage sensitivity and charge sensitivity is?

A. 0.04 Vm/N, 247.52 pC/N
B. 0.05 Vm/N, 309.4 pC/N
C. 0.04 Vm/N, 261.12 pC/N
D. 0.05 Vm/N, 319.8 pC/N
Answer: Option B
Solution: 
C = ฮต.ฮต0 * A/d = 77.5 pF
Q/F = CV/10 = 310 pC/N

Voltage Sensitivity = V/F = V*thickness/10 = 40*2*10^(-3)/10 = 0.008


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