A Quartz piezoelectric Crystal having a thickness of 2 mm and voltage sensitivity of 0.055 M/N is subjected to a pressure of 1.5 MN/m2. Evaluate the voltage output
Question
A Quartz piezoelectric Crystal having a thickness of 2 mm and voltage sensitivity of 0.055 M/N is subjected to a pressure of 1.5 MN/m2. Evaluate the voltage output
Solution
To solve this problem, we need to use the formula for voltage output in a piezoelectric material, which is:
Voltage Output = Pressure * Voltage Sensitivity * Thickness
Given:
- Pressure (P) = 1.5 MN/m^2 = 1.5 * 10^6 N/m^2 (converting from MN to N)
- Voltage Sensitivity (S) = 0.055 M/N = 0.055 * 10^6 V/N (converting from MV to V)
- Thickness (T) = 2 mm = 2 * 10^-3 m (converting from mm to m)
Substituting these values into the formula, we get:
Voltage Output = (1.5 * 10^6 N/m^2) * (0.055 * 10^6 V/N) * (2 * 10^-3 m)
Solving this, we get:
Voltage Output = 165 V
So, the voltage output of the Quartz piezoelectric crystal under the given conditions is 165 Volts.
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