• This circuit has a charge. generator q defined by: where: = g Kx K = proportionality constant, C/m x = deflection Crystal Charge generator q=Kx RS 0 Cable e Amplifier о Amplifier + iAmplifier = 0 vo The circuit may be simplified by converting the charge generator to a current generator Is = Dr. Shamekhi, Sahand University of Technology dq dt dx = K dt 26 ia=0 + ✓ Displacement Meas. - Piezoelectric Sensors - p5 • Modified circuit: к • Combined elements • Assuming that the amplifier current = Zero Charge generator is = Kdx/dt ic' C R V₁ = UC = i-iR=C is = ic + iR (¹) fic dt c (dv) V₁(jw) Κ,jωτ ====== X(jw) jwr+1 R=RR(R+R) Ra C = C₁ + Cc + Ca Sensor response to a step displacement Displacement Kx/C | K, = K/C (sensitivity, V/m) dx Vo = K TRC (time constant) dt dt R T Time Time • The output decays exponentially because of the finite Increasing 7 Increasing 7
• This circuit has a charge. generator q defined by: where: = g Kx K = proportionality constant, C/m x = deflection Crystal Charge generator q=Kx RS 0 Cable e Amplifier о Amplifier + iAmplifier = 0 vo The circuit may be simplified by converting the charge generator to a current generator Is = Dr. Shamekhi, Sahand University of Technology dq dt dx = K dt 26 ia=0 + ✓ Displacement Meas. - Piezoelectric Sensors - p5 • Modified circuit: к • Combined elements • Assuming that the amplifier current = Zero Charge generator is = Kdx/dt ic' C R V₁ = UC = i-iR=C is = ic + iR (¹) fic dt c (dv) V₁(jw) Κ,jωτ ====== X(jw) jwr+1 R=RR(R+R) Ra C = C₁ + Cc + Ca Sensor response to a step displacement Displacement Kx/C | K, = K/C (sensitivity, V/m) dx Vo = K TRC (time constant) dt dt R T Time Time • The output decays exponentially because of the finite Increasing 7 Increasing 7
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
Problem 1P: Visit your local library (at school or home) and describe the extent to which it provides literature...
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