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A barium titanate piezo-electric crystal when subjected to a pressure of 2 MN/m2 developed a voltage of 36 V. If the charge sensitivity of barium titanate is 150 pC/N and its permittivity is 12.5 × 10–9 F/m, find the thickness of the crystal.
- a)0.5 mm
- b)1.0 mm
- c)1.5 mm
- d)2.0 mm
Correct answer is option 'C'. Can you explain this answer?
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A barium titanate piezo-electric crystal when subjected to a pressure...
Given r Pressure applied, P=2MN/m2=2×106N/m2Voltage developed, E0=36V Charge density, d=150pC/N=150×10−12C/N
Permittivity, ε0εr=12.5×10−9F/m
Now, voltage sensitivity of the crystal is given as 
For a piezo'electric crystal of thickness 't', the voltage developed due to a pressure 'P' is given as, E0 = gtP
Most Upvoted Answer
A barium titanate piezo-electric crystal when subjected to a pressure...
Given:
Pressure (P) = 2 MN/m^2
Developed voltage (V) = 36 V
Charge sensitivity (C) = 150 pC/N = 150 × 10^-12 C/N
Permittivity (ε) = 12.5 × 10^-9 F/m
We know that piezoelectric crystal generates a voltage when subjected to a pressure. The voltage generated is given by the equation:
V = C * P * t
where, C is the charge sensitivity, P is the pressure applied, and t is the thickness of the crystal.
We can rearrange the equation to find the thickness of the crystal:
t = V / (C * P)
Substituting the given values, we get:
t = 36 / (150 × 10^-12 * 2 × 10^6) = 1.5 mm
Therefore, the thickness of the crystal is 1.5 mm. Hence, option (c) is the correct answer.
Pressure (P) = 2 MN/m^2
Developed voltage (V) = 36 V
Charge sensitivity (C) = 150 pC/N = 150 × 10^-12 C/N
Permittivity (ε) = 12.5 × 10^-9 F/m
We know that piezoelectric crystal generates a voltage when subjected to a pressure. The voltage generated is given by the equation:
V = C * P * t
where, C is the charge sensitivity, P is the pressure applied, and t is the thickness of the crystal.
We can rearrange the equation to find the thickness of the crystal:
t = V / (C * P)
Substituting the given values, we get:
t = 36 / (150 × 10^-12 * 2 × 10^6) = 1.5 mm
Therefore, the thickness of the crystal is 1.5 mm. Hence, option (c) is the correct answer.
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A barium titanate piezo-electric crystal when subjected to a pressure of 2 MN/m2 developed a voltage of 36 V. If the charge sensitivity of barium titanate is 150 pC/N and its permittivity is 12.5 × 10–9 F/m, find the thickness of the crystal.a)0.5 mmb)1.0 mmc)1.5 mmd)2.0 mmCorrect answer is option 'C'. Can you explain this answer?
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A barium titanate piezo-electric crystal when subjected to a pressure of 2 MN/m2 developed a voltage of 36 V. If the charge sensitivity of barium titanate is 150 pC/N and its permittivity is 12.5 × 10–9 F/m, find the thickness of the crystal.a)0.5 mmb)1.0 mmc)1.5 mmd)2.0 mmCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A barium titanate piezo-electric crystal when subjected to a pressure of 2 MN/m2 developed a voltage of 36 V. If the charge sensitivity of barium titanate is 150 pC/N and its permittivity is 12.5 × 10–9 F/m, find the thickness of the crystal.a)0.5 mmb)1.0 mmc)1.5 mmd)2.0 mmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A barium titanate piezo-electric crystal when subjected to a pressure of 2 MN/m2 developed a voltage of 36 V. If the charge sensitivity of barium titanate is 150 pC/N and its permittivity is 12.5 × 10–9 F/m, find the thickness of the crystal.a)0.5 mmb)1.0 mmc)1.5 mmd)2.0 mmCorrect answer is option 'C'. Can you explain this answer?.
A barium titanate piezo-electric crystal when subjected to a pressure of 2 MN/m2 developed a voltage of 36 V. If the charge sensitivity of barium titanate is 150 pC/N and its permittivity is 12.5 × 10–9 F/m, find the thickness of the crystal.a)0.5 mmb)1.0 mmc)1.5 mmd)2.0 mmCorrect answer is option 'C'. Can you explain this answer? for GATE 2024 is part of GATE preparation. The Question and answers have been prepared according to the GATE exam syllabus. Information about A barium titanate piezo-electric crystal when subjected to a pressure of 2 MN/m2 developed a voltage of 36 V. If the charge sensitivity of barium titanate is 150 pC/N and its permittivity is 12.5 × 10–9 F/m, find the thickness of the crystal.a)0.5 mmb)1.0 mmc)1.5 mmd)2.0 mmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for GATE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A barium titanate piezo-electric crystal when subjected to a pressure of 2 MN/m2 developed a voltage of 36 V. If the charge sensitivity of barium titanate is 150 pC/N and its permittivity is 12.5 × 10–9 F/m, find the thickness of the crystal.a)0.5 mmb)1.0 mmc)1.5 mmd)2.0 mmCorrect answer is option 'C'. Can you explain this answer?.
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A barium titanate piezo-electric crystal when subjected to a pressure of 2 MN/m2 developed a voltage of 36 V. If the charge sensitivity of barium titanate is 150 pC/N and its permittivity is 12.5 × 10–9 F/m, find the thickness of the crystal.a)0.5 mmb)1.0 mmc)1.5 mmd)2.0 mmCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for A barium titanate piezo-electric crystal when subjected to a pressure of 2 MN/m2 developed a voltage of 36 V. If the charge sensitivity of barium titanate is 150 pC/N and its permittivity is 12.5 × 10–9 F/m, find the thickness of the crystal.a)0.5 mmb)1.0 mmc)1.5 mmd)2.0 mmCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of A barium titanate piezo-electric crystal when subjected to a pressure of 2 MN/m2 developed a voltage of 36 V. If the charge sensitivity of barium titanate is 150 pC/N and its permittivity is 12.5 × 10–9 F/m, find the thickness of the crystal.a)0.5 mmb)1.0 mmc)1.5 mmd)2.0 mmCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an
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