A quartz piezoelectric crystal having a thickness of 2 mm and voltage sensitivity of 0.055 V·m/N is subjected to a pressure of 1.5 MN/m^2. Calculate the voltage output. If the permittivity of quartz is 40.6 × 10^-12 F/m, calculate its charge sensitivity.
Added by Laurie L.
Step 1
055 \, \text{V} \cdot \text{m/N} \) - Applied pressure, \( P = 1.5 \, \text{MN/m}^2 = 1.5 \times 10^6 \, \text{N/m}^2 \) - Permittivity of quartz, \( \epsilon = 40.6 \times 10^{-12} \, \text{F/m} \) Show more…
Show all steps
Close
Your feedback will help us improve your experience
Adi S and 85 other Physics 102 Electricity and Magnetism educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Anand J.
A capacitive transducer uses two quartz diaphragms of area 750 mm2 separated by distance of 3.5 mm. A pressure of 900 kN/m2 when applied to the top diaphragms produces a deflection of 0.6 mm. The capacitance is 370 Pf when no pressure is applied to the diaphragms. Find the value of capacitance after the application of a pressure of 900 kN/m2
Sri K.
Piezoelectric crystal transducer is used to measure the force transmitted from a structure to its support as shown in Figure 1. The crystal is in the form of a disc with a diameter of 2 cm and a thickness of 1 mm. The charge constant of the crystal is 1x10^-5 Coulomb/cm. The dielectric constant of the crystal is 5 and the Young's modulus is 8x10^-10 N/m². The capacitance of the cable is 20 pF. The amplifier has an input resistance of 20 MΩ in parallel with a capacitance of 50 pF. The amplifier gain is 50. In a measurement situation, if the output voltage e has an amplitude of 0.5 V at a given frequency of 100 Hz, find the amplitude of the force hitting the piezoelectric transducer. Force Output e0 Structure Piezoelectric Transducer Amplifier Support Figure 1: Piezoelectric force transducer
Recommended Textbooks
University Physics with Modern Physics
Physics: Principles with Applications
Fundamentals of Physics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD