Analysis of Problems in Dynamics by Electronic Circuits

Ragazzini, John R.; Randall, Robert H.; Russell, Frederick A.

doi:10.1109/jrproc.1947.232616

Cited by 77 publications

(26 citation statements)

References 3 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…R f ≡R and r g ≡r. Actually only the comparison of the two different expressions for NIA w ¡ ( ) allows to recover the original master equation equation (1) When s=jω is purely imaginary for the modulus of the amplification we have Y where we have obviously considered −3 dB closed-loop gain in this expression. A simple circuit for determination of f 0 using this formula is represented in figure 6.…”

Section: Determination Of the Crossover Frequency F 0 Of The Operatiomentioning

confidence: 99%

“…The time dependent master equation from the seminal article by Ragazzini, Randall and Russell (Ragazzini et al 1947 Proc. of the I.R.E.…”

Section: Introductionmentioning

confidence: 99%

“…Inspired by Heaviside operational calculus 70 years ago, Ragazzini, Randall and Russell [1] introduced the idea and coined the generic term operational amplifier [2] (enabling summation, integration and differentiation), and introduced the master equation…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Master equation for operational amplifiers: stability of negative differential converters, crossover frequency and pass-bandwidth

et al. 2019

View full text Add to dashboard Cite

0 1 - we obtain the well-known formulae equations (7) and (8) of [9], see also [20].Actually coincidence of equation (7) of [9] with equation (28) from our paper with reverse engineering gives a proof of our time dependent master equation equation (5). For frequencies much lower than the crossover frequency f crossover of the operational amplifier the amplification is in a wide band frequency independent Figure C1. Differential amplifier with a finite input resistance R a (non-zero input conductivity) of the operational amplifier.

show abstract

Section: Determination Of the Crossover Frequency F 0 Of The Operatiomentioning

confidence: 99%

“…The time dependent master equation from the seminal article by Ragazzini, Randall and Russell (Ragazzini et al 1947 Proc. of the I.R.E.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Master equation for operational amplifiers: stability of negative differential converters, crossover frequency and pass-bandwidth

et al. 2019

View full text Add to dashboard Cite

show abstract

“…One of most known examples of such combination of transistors is the differential amplifier, which is an integrative part of every operational amplifier. The term "operational amplifier" goes all the way back to about 1943 where this name has been coined by Ragazzinni and Philbrick [39].…”

Section: Accepted M Manuscriptmentioning

confidence: 99%

Signal amplification in biological and electrical engineering systems

Grubelnik

Dugonik

Osebik

et al. 2009

Biophysical Chemistry

View full text Add to dashboard Cite

-In this paper we compare the cascade mechanisms of signal amplification in biological and electrical engineering systems, and show that they share the capacity to considerably amplify signals, and respond to signal changes both quickly and completely, which effectively preserves the form of the input signal. For biological systems, these characteristics are crucial for efficient and reliable cellular signalling. We show that this highly-efficient biological mechanism of signal amplification that has naturally evolved is mathematically fully equivalent with some man-developed amplifiers, which indicates parallels between biological evolution and successful technology development.

show abstract

“…The development and application of electronic analog computers in the Aeronautical Engineering Department at the University of Michigan, initiated in 1947, employed operational amplifiers based on a high-gain dc amplifier circuit published at that time in an article by Ragazzini et al [2]. The amplifier circuit utilized two vacuum tubes…”

Section: The Study Of the Utility Of Electronic Analog Computers At Tmentioning

confidence: 99%

Analog computers in academia and industry: a history of analog computing at the University of Michigan and the founding of Applied Dynamics International

Howe

2005

IEEE Control Syst.

View full text Add to dashboard Cite

Analysis of Problems in Dynamics by Electronic Circuits

Cited by 77 publications

References 3 publications

Master equation for operational amplifiers: stability of negative differential converters, crossover frequency and pass-bandwidth

Master equation for operational amplifiers: stability of negative differential converters, crossover frequency and pass-bandwidth

Signal amplification in biological and electrical engineering systems

Analog computers in academia and industry: a history of analog computing at the University of Michigan and the founding of Applied Dynamics International

Contact Info

Product

Resources

About