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Class Exercise 4 (March 22  27, 2004)
4.
Passive Integrators and Differentiators Opamp Integrator Builder
KINDS  integrators  differentiators  
capacitive  C integrator I > V  
inductive  L integrator V > I 
4.1.
Elementary capacitive circuits. Deriving a functional notion of an
element storing potential energy from many everyday situations (analogies).
4.1.1. Capacitive integrator
with current input and voltage output (C currenttovoltage integrator).
Application  an elementary building block for assembling
more complicated integrators. Discussion: Is the circuit an ideal integrator?
Imperfections caused by a real current source. Looking for a remedy.

Capacitor as an ideal current integrator. 
4.1.2. Capacitive differentiator with voltage input and current output (C voltagetocurrent differentiator). Application  an elementary building block for assembling more complicated capacitive differentiators. Discussions: Is the circuit correct? What does a voltage source "like"? What does it "hate"? Is it an ideal differentiator? Imperfections caused by a real current load. Looking for a remedy.
4.2.
Building compound resistivecapacitive converters with voltage inputs and outputs.
4.2.1. RC integrator.
Building the circuit by using the more elementary voltagetocurrent
converter and C currenttovoltage integrator. Applications: imperfect ramp
generator (assembling from an external square generator and RC integrator);
filtering circuits etc. Imperfections and remedies.

RC integrator = voltagetocurrent converter + C currenttovoltage integrator. 

Imperfections. 
Remedy. 
4.2.2.
CR differentiator. Building the circuit by using the more elementary
C differentiator and currenttovoltage converter. Applications:
pulse "shortening" circuits; dynamic potential "shifting"
circuits (ideas for future applications in transistor bias circuits). Imperfections
and remedies.
4.3.
Elementary inductive circuits. Deriving a functional notion of an element
storing kinetic energy from many everyday situations (analogies).
4.1.1.
Inductive integrator with voltage input and current output (L voltagetocurrent
integrator). Application  an elementary building block for assembling
more complicated inductive integrators. Imperfections caused by a real current
load. Looking for a remedy.
4.1.2.
Inductive differentiator with current input and voltage output (L voltagetocurrent
differentiator). Application  an elementary building block for assembling
more complicated inductive differentiator. Discussions: Is the circuit correct?
What does a current source "like"? What does it "hate"?
Is it an ideal differentiator? Imperfections caused by a real current source.
Looking for a remedy.
4.4.
Building compound resistiveinductive converters with voltage inputs and outputs.
4.4.1. LR integrator.
Building the circuit by using the more elementary L integrator and currenttovoltage
converter. Imperfections and remedies.
4.4.2.
RL differentiator. Building the circuit by using the more elementary
voltagetocurrent converter and C differentiator and L differentiator.
Visualizing the operation by means of potential bars. Imperfections and remedies.
Last updated
October 22, 2004
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