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A piezoelectric transducer has a capacitance of 1500 pF and leakage resistance of 105 MΩ. The oscilloscope used for read-out has a resistance of 1 MΩ in parallel with a capacitance of 500 pF. What is the time constant of the entire system ?

A piezoelectric transducer has a capacitance of 1500 pF and leakage resistance of 105 MΩ. The oscilloscope used for read-out has a resistance of 1 MΩ in parallel with a capacitance of 500 pF. What is the time constant of the entire system ? Correct Answer 0.002 s

Given that, 

The capacitance of piezoelectric transducer CP = 1500 pF

The resistance of piezoelectric transducer RP = 105 MΩ 

And, CCRO = 500 pF, RCRO = 1 MΩ 

               [ alt="F1 Koda Raju Ravi 15.11.2021 D1" src="//storage.googleapis.com/tb-img/production/21/11/F1_Koda%20Raju_Ravi_15.11.2021_D1.png" style="width: 197px; height: 43px;">

[ alt="F1 Koda Raju Ravi 15.11.2021 D2" src="//storage.googleapis.com/tb-img/production/21/11/F1_Koda%20Raju_Ravi_15.11.2021_D2.png" style="width: 352px; height: 116px;">

Total capacitance CT = CP + CR = 2000 pF

Total resistance RT = RP || RCRO ≈ 1 MΩ 

Time constant = CT RT = 0.002 sec

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