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Operational Amplifier Integrator, Differentiator Applications Study

Learn about pre-digital electronic integration, differentiation methods, OP Amp integrator and differentiator functions, and analog electronic integrators. Understand how OP Amps can be used as integrators, differentiators, and in square wave oscillators with detailed examples. Discover the benefits and applications of various OP Amp configurations.

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Operational Amplifier Integrator, Differentiator Applications Study

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  1. 00_Op Amp intergrator, diff and other applications Case Study : How to do integration and differentiation before digital electronic computers • Choice #1: analytically • BUT: for calculation of e.g. the times of high tide and low tides this was not feasible • Solution: mechanical Integrators and Differentiators  large machines • High cost, not always too accurate (http://www.usscod.org/tdc-restore.html) • From the 1950s … 1960s: analogue electronic integrators with the help of OP AMPs W. Bergholz GEE2 Spring 2012

  2. 21_Op Amp intergrator, diff and other applications Op Amp as an integrator: • Why does it integrate the input voltage? W. Bergholz GEE2 Spring 2012

  3. 21_Op Amp intergrator, diff and other applications Op Amp as an integrator: W. Bergholz GEE2 Spring 2012

  4. 21_Op Amp intergrator, diff and other applications Op Amp as an integrator: W. Bergholz GEE2 Spring 2012

  5. 21_Op Amp intergrator, diff and other applications • Improvement of plot? W. Bergholz GEE2 Spring 2012

  6. 21_Op Amp intergrator, diff and other applications • Improvement of plot? • Log log plot •  straight line •  slope -1 W. Bergholz GEE2 Spring 2012

  7. 21_Op Amp intergrator, diff and other applications Op Amp as differentiator: W. Bergholz GEE2 Spring 2012

  8. 21_Op Amp intergrator, diff and other applications Op Amp as differentiator: W. Bergholz GEE2 Spring 2012

  9. 21_Op Amp intergrator, diff and other applications Op Amp as integrator / differentiator: • Up to now, we have done our calculations in the timedomain • The magnitude and the phase shift of the output signal can –of course - also be worked out using • the frequency representation, i.e. the complex reactance of the capacitor • including the negative sign of the gain Xc = -j/C Gain = - Xc/RI for the integrator (i.e. Inverting amp and an additional phase shift of -90 degrees) W. Bergholz GEE2 Spring 2012

  10. 21_Op Amp intergrator, diff and other applications 2 feedback paths Op amp as a square wave oscillator: W. Bergholz GEE2 Spring 2012

  11. 21_Op Amp intergrator, diff and other applications Op amp as a square wave oscillator: • How does this work out in detail? • NI = non inverting input, II= inverting input 1 2 2 1 W. Bergholz GEE2 Spring 2012

  12. 21_Op Amp intergrator, diff and other applications Op amp as a square wave oscillator: • How does this work out in detail? 3 2 3 1 W. Bergholz GEE2 Spring 2012

  13. 21_Op Amp intergrator, diff and other applications Op amp as a square wave oscillator: • Result 2 3 1 W. Bergholz GEE2 Spring 2012

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