आपरेशनल एम्प्लिफायर के उपयोग का स्रोत देखें

इस लेख में [[आपरेशनल एम्प्लिफायर]] के सामान्य उपयोगों की जानकारी दी गयी है। सरलीकृत [[व्यवस्था चित्र|योजनात्मक आरेख]] का उपयोग किया गया है।

== रेखीय परिपथों में प्योग (Linear circuit applications) ==
=== तुलना करने के लिये (Comparator) ===

[[चित्र:Op-Amp Comparator.svg|frame|कम्परेटर (Comparator)]]

Compares two voltages and switches its output to indicate which voltage is larger. 
* <math> V_{\text{out}} = \left\{\begin{matrix} V_{\text{S+}} & V_1 > V_2 \\ V_{\text{S-}} & V_1 < V_2 \end{matrix}\right. </math>

(where <math>V_{\text{s}}</math> is the supply voltage and the opamp is powered by <math>+V_{\text{s}}</math> and <math>-V_{\text{s}}</math>.)
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=== इन्वर्टिंग एम्प्लिफायर (Inverting amplifier) ===

[[चित्र:Op-Amp Inverting Amplifier.svg|300px|thumb|right|इन्वर्ट करने वाला एम्प्लिफायर]]

Uses negative feedback to invert and [[amplifier|amplify]] a voltage (multiplies by a negative constant, which can be greater or less than -1).

:<math> V_{\text{out}} = -\frac{R_{\text{f}}}{R_{\text{in}}} V_{\text{in}}\!\ </math>
* <math>Z_{\text{in}} = R_{\text{in}}</math> (because <math>V_-</math> is a [[virtual ground]])
* A third resistor, of value <math>R_{\text{f}} \| R_{\text{in}} \triangleq R_{\text{f}} R_{\text{in}} / (R_{\text{f}} + R_{\text{in}}) </math>, added between the non-inverting input and ground, while not necessary, minimizes errors due to input bias currents.

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=== व्युत्क्रम न करने वाला एम्प्लिफायर (Non-inverting amplifier) ===

[[चित्र:Op-Amp Non-Inverting Amplifier.svg|thumb|300px|Non-inverting amplifier]]

Amplifies a voltage (multiplies by a constant greater than 1)

:<math>V_{\text{out}} = V_{\text{in}} \left(1 + \frac{R_2}{R_1} \right)\,</math>
* Input impedance <math>Z_{\text{in}} \approx \infin</math>
** The input impedance is ''at least'' the impedance between non-inverting (<math>+</math>) and inverting (<math>-</math>) inputs, which is typically 1 MΩ to 10 TΩ, plus the impedance of the path from the inverting (<math>-</math>) input to ground (i.e., <math>R_1</math> in parallel with <math>R_2</math>).
** Because negative feedback ensures that the non-inverting and inverting inputs match, the input impedance is actually '''much higher.'''
* Although this circuit has a large input impedance, it suffers from error of input bias current.
** The non-inverting (<math>+</math>) and inverting (<math>-</math>) inputs draw small leakage currents into the operational amplifier.
** These input currents generate voltages that act like unmodeled input offsets. These unmodeled effects can lead to noise on the output (e.g., offsets or drift).
** Assuming that the two leaking currents are '''matched,''' their effect can be mitigated by ensuring the DC impedance looking '''out''' of each input is the same.
*** The voltage produced by each bias current is equal to the product of the bias current with the equivalent DC impedance looking out of each input. Making those impedances equal makes the offset voltage at each input equal, and so the non-zero bias currents will have no impact on the '''difference''' between the two inputs.
*** A resistor of value
***: <math>R_1 \| R_2 \triangleq \left(\frac{1}{R_1} + \frac{1}{R_2}\right)^{-1} = \frac{ R_1 R_2 }{ R_1 + R_2 },\,</math>
**: which is the equivalent resistance of <math>R_1</math> in parallel with <math>R_2</math>, between the <math>V_{\text{in}}</math> source and the non-inverting (<math>+</math>) input will ensure the impedances looking '''out''' of each input will be matched.
*** The matched bias currents will then generate matched offset voltages, and their effect will be hidden to the operational amplifier (which acts on the difference between its inputs) so long as the [[common-mode rejection ratio|CMRR]] is good.
** Very often, the input currents are ''not'' matched.
*** Most operational amplifiers provide some method of balancing the two input currents (e.g., by way of an external [[potentiometer]]).
*** Alternatively, an external offset can be added to the operational amplifier input to nullify the effect.
*** Another solution is to insert a variable resistor between the <math>V_{\text{in}}</math> source and the non-inverting (<math>+</math>) input. The resistance can be tuned until the offset voltages at each input are matched.
*** Operational amplifiers with [[MOSFET]]-based input stages have input currents that are so small that they often can be neglected.

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=== डिफरेंशियल एम्प्लिफायर (Differential amplifier) ===

[[चित्र:Op-Amp Differential Amplifier.svg|thumb|300px|right|Differential amplifier]]

{{main|Differential amplifier}}

The circuit shown is used for finding the [[subtraction|difference]] of two voltages each multiplied by some constant (determined by the resistors). 

''The name "differential amplifier" should not be confused with the "[[#Differentiator|differentiator]]", also shown on this page.''

:<math> V_{\text{out}} = \frac{ \left(R_{\text{f}} + R_1 \right) R_{\text{g}} }{\left(R_{\text{g}} + R_2 \right) R_1} V_2 - \frac{R_{\text{f}}}{R_1} V_1 </math>

* Differential <math>Z_{\text{in}}</math> (between the two input pins) = <math>R_1 + R_2</math> (Note: this is approximate)

''The "[[#Instrumentation amplifier|instrumentation amplifier]]", which is also shown on this page, is another form of differential amplifier that also provides high [[input impedance]].''

==== Amplified difference ====

Whenever <math>R_1 = R_2</math> and <math>R_{\text{f}} = R_{\text{g}}</math>,
:<math>V_{\text{out}} = A (V_{\text{2}} - V_{\text{1}})\,</math> &nbsp; and &nbsp; <math>A \triangleq \frac{ R_{\text{f}} }{ R_1 }</math>

==== Difference amplifier ====

When <math>R_1 = R_\mathrm{f} = R_2 = R_\mathrm{g}</math>:

:<math> V_\mathrm{out} = V_2 - V_1 \,\!</math>

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=== वोल्टेज अनुगामी (Voltage follower) ===

[[चित्र:Op-Amp Unity-Gain Buffer.svg|frame|Voltage follower]]

Used as a [[buffer amplifier]], to eliminate loading effects or to interface impedances (connecting a device with a high [[source impedance]] to a device with a low [[input impedance]]). Due to the strong feedback, this circuit
tends to get unstable when driving a high capacity load. This can be avoided by connecting the load through a
resistor.

:<math> V_{\text{out}} = V_{\text{in}} \!\ </math>
* <math>Z_{\text{in}} = \infin</math> (realistically, the differential input impedance of the op-amp itself, 1 MΩ to 1 TΩ)

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=== योजी प्रवर्धक (Summing amplifier) ===
[[चित्र:Op-Amp Summing Amplifier.svg|thumb|300px|Summing amplifier]]

A summing amplifer sums several (weighted) voltages:

:<math> V_{\text{out}} = -R_{\text{f}} \left(\frac{V_1}{R_1} + \frac{V_2}{R_2} + \cdots + \frac{V_n}{R_n} \right) </math>

* When <math>R_1 = R_2 = \cdots = R_n</math>, and <math>R_{\text{f}}</math> independent

:<math> V_{\text{out}} = -\frac{R_{\text{f}}}{R_1} (V_1 + V_2 + \cdots + V_n) \!\ </math>

* When <math>R_1 = R_2 = \cdots = R_n = R_{\text{f}}</math>

:<math> V_{\text{out}} = -(V_1 + V_2 + \cdots + V_n) \!\ </math>
* Output is inverted
* Input impedance of the ''n''th input is <math>Z_n = R_n</math> (<math>V_-</math> is a [[virtual ground]])

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=== समाकलनी (Integrator) ===

[[चित्र:Op-Amp Integrating Amplifier.svg|thumb|300px|Integrating amplifier]]

[[Integral|Integrates]] the (inverted) signal over time

:<math>V_{\text{out}} = -\int_0^t \frac{ V_{\text{in}} }{RC} \, \operatorname{d}t + V_{\text{initial}}\,</math>

(where <math>V_{\text{in}}</math> and <math>V_{\text{out}}</math> are functions of time, <math>V_{\text{initial}}</math> is the output voltage of the integrator at time ''t'' = 0.)
* Note that this can also be viewed as a [[Low-pass filter|low-pass]] [[electronic filter]]. It is a filter with a single [[complex pole|pole]] at DC (i.e., where <math>\omega = 0</math>) and gain.
* There are several potential problems with this circuit.
** It is usually assumed that the input <math>V_{\text{in}}</math> has zero DC component (i.e., has a zero average value). Otherwise, unless the capacitor is periodically discharged, the output will drift outside of the operational amplifier's operating range.
** Even when <math>V_{\text{in}}</math> has no offset, the leakage or bias currents into the operational amplifier inputs can add an unexpected offset voltage to <math>V_{\text{in}}</math> that causes the output to drift. Balancing input currents '''and''' replacing the non-inverting (<math>+</math>) short-circuit to ground with a resistor with resistance <math>R</math> can reduce the severity of this problem.
** Because this circuit provides no DC feedback (i.e., the capacitor appears like an open circuit to signals with <math>\omega = 0</math>), the offset of the output may not agree with expectations (i.e., <math>V_{\text{initial}}</math> may be out of the designer's control with the present circuit).
: Many of these problems can be made less severe by adding a ''large'' resistor <math>R_F</math> in parallel with the feedback capacitor. At significantly high frequencies, this resistor will have negligible effect. However, at low frequencies where there are drift and offset problems, the resistor provides the necessary feedback to hold the output steady at the correct value. In effect, this resistor reduces the DC gain of the "integrator"&nbsp;&ndash; it goes from infinite to some finite value <math>R_F/R</math>.

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=== अवकलित्र (Differentiator) ===

[[चित्र:Op-Amp Differentiating Amplifier.svg|thumb|300px|Differentiating amplifier]]

[[Derivative|Differentiates]] the (inverted) signal over time. 

:''The name "differentiator" should not be confused with the "[[#Differential amplifier|differential amplifier,]]" which is also shown on this page. The former takes a [[derivative]] and the latter takes a difference (i.e., does subtraction).''

:<math>V_{\text{out}} = -RC \,\frac{\operatorname{d}V_{\text{in}} }{ \operatorname{d}t} \, \qquad \text{where } V_{\text{in}}\text{ and } V_{\text{out}} \text{ are functions of time.}</math>

* Note that this can also be viewed as a [[High-pass filter|high-pass]] [[electronic filter]]. It is a filter with a single [[complex zero|zero]] at DC (i.e., where <math>\omega = 0</math>) and gain.

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=== इंस्ट्रुमेंटेशन एम्प्लिफायर (Instrumentation amplifier) ===

[[चित्र:Op-Amp Instrumentation Amplifier.svg|300px|thumb|Instrumentation amplifier]]

{{main|Instrumentation amplifier}}

Combines very high [[input impedance]], high [[common-mode rejection]], low [[DC offset]], and other properties used in making very accurate, low-noise measurements

* Is made by adding a [[#non-inverting amplifier|non-inverting]] [[buffer amplifier|buffer]] to each input of the [[#Differential amplifier|differential amplifier]] to increase the input impedance.

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=== स्क्मिट ट्रिगर (Schmitt trigger) ===

{{main|Schmitt trigger}}

A [[bistable multivibrator]] implemented as a [[comparator]] with [[hysteresis]].

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[[चित्र:Op-Amp Schmitt Trigger.svg|frame|Schmitt trigger with non-inverting hysteretic switching characteristic]]

In this configuration, the hysteresis curve is non-inverting (i.e., very negative inputs correspond to a negative output and very positive inputs correspond to a positive output), and the switching thresholds are <math>\pm \frac{R_1}{R_2}V_{\text{sat}}</math> where <math>V_{\text{sat}}</math> is the greatest output magnitude of the operational amplifier.

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[[चित्र:Op-Amp Inverting Schmitt Trigger.svg|frame|Schmitt trigger with inverting hysteretic switching characteristic]]
Alternatively, the input and the [[electrical ground|ground]] may be swapped. In this configuration, the hysteresis curve is inverting (i.e., very negative inputs correspond to a positive output and vice versa), and the switching thresholds are <math>\pm \frac{R_1}{R_1 + R_2} V_{\text{sat}}</math>. Such a configuration is used in the [[#Relaxation_oscillator|relaxation oscillator]] shown below.

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=== रिलैक्शेशन एम्प्लिफायर (Relaxation oscillator) ===

{{main|Relaxation oscillator}}

[[चित्र:Op-Amp Relaxation Oscillator.svg|frame|Relaxation oscillator implemented with inverting Schmitt trigger and RC network]]
By using an [[RC network]] to add slow [[negative feedback]] to the inverting [[#Schmitt_trigger|Schmitt trigger]], a [[relaxation oscillator]] is formed. The feedback through the RC network causes the Schmitt trigger output to [[oscillate]] in an endless symmetric [[square wave]] (i.e., the Schmitt trigger in this configuration is an [[astable multivibrator]]).

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=== इंदडक्टैंस गाइरेटर (Inductance gyrator) ===

[[चित्र:Op-Amp Gyrator.svg|300px|thumb|Inductance gyrator]]

{{main|Gyrator}}

Simulates an [[inductor]].

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=== शून्य स्तर अनुसूचक (Zero level detector) ===
<!-- fig needed here? -->

Voltage divider reference

* Zener sets reference voltage

=== ऋणात्मक प्रतिबाधा परिवर्तक (Negative impedance converter (NIC)) ===

[[चित्र:Op-Amp Negative Impedance Converter.svg|300px|thumb|Negative impedance converter]]

{{main|Negative impedance converter}}

Creates a [[resistor]] having a negative value for any signal generator

* In this case, the ratio between the input voltage and the input current (thus the input resistance) is given by:

:<math>R_{\text{in}} = -R_3 \frac{R_1}{R_2}</math>

In general, the components <math>R_1</math>, <math>R_2</math>, and <math>R_3</math> need not be resistors; they can be any component that can be described with an [[impedance]].

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=== वीन-ब्रिज दोलक (Wien bridge oscillator) ===

[[चित्र:Wien bridge classic osc.svg|300px|thumb|Wien bridge oscillator]]

{{main|Wien bridge oscillator}}

Produces a pure [[sine wave]].

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== अरेखीय संरचनाएं (Non-linear configurations) ==
=== Precision rectifier ===

[[चित्र:Op-Amp Precision Rectifier.svg|thumb|250px|Precision rectifier]]

{{main|Precision rectifier}}

Although there are some limitations, this '''super diode''' circuit behaves like an ideal [[diode]] for the load <math>R_{\text{L}}</math>.

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=== Logarithmic output ===

[[चित्र:Op-Amp Logarithmic Amplifier.svg|thumb|300px|Logarithmic configuration]]

* The relationship between the input voltage <math>v_{\text{in}}</math> and the output voltage <math>v_{\text{out}}</math> is given by:

::<math>v_{\text{out}} = -V_{\gamma} \ln \left(\frac{v_{\text{in}}}{I_{\text{S}} \, R} \right)</math>

:where <math>I_{\text{S}}</math> is the ''saturation current''.

* If the operational amplifier is considered ideal, the negative pin is virtually grounded, so the current flowing into the resistor from the source (and thus through the diode to the output, since the op-amp inputs draw no current) is:

::<math>\frac{v_{\text{in}}}{R} = I_{\text{R}} = I_{\text{D}}</math>

:where <math>I_{\text{D}}</math> is the current through the diode. As known, [[Diode#Shockley diode equation|the relationship between the current and the voltage]] for a [[diode]] is:

::<math>I_{\text{D}} = I_{\text{S}} \left(e^{\frac{V_{\text{D}}}{V_{\gamma}}} - 1 \right).</math>

:This, when the voltage is greater than zero, can be approximated by:

::<math>I_{\text{D}} \simeq I_{\text{S}} e^{\frac{V_{\text{D}}}{V_{\gamma}}}. </math>

:Putting these two formulae together and considering that the output voltage is the negative of the voltage across the diode (<math>V_{\text{out}} = -V_{\text{D}}</math>), the relationship is proven.

Note that this implementation does not consider temperature stability and other non-ideal effects.

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=== Exponential output ===

[[चित्र:Op-Amp Exponential Amplifier.svg|thumb|300px|Exponential configuration]]

* The relationship between the input voltage <math>v_{\text{in}}</math> and the output voltage <math>v_{\text{out}}</math> is given by:

:<math>v_{\text{out}} = -R I_{\text{S}} e^{\frac{v_{\text{in}}}{V_{\gamma}}}</math>

where <math>I_{\text{S}}</math> is the ''saturation current''.

* Considering the operational amplifier ideal, then the negative pin is virtually grounded, so the current through the diode is given by:

:<math>I_{\text{D}} = I_{\text{S}} \left(e^{\frac{V_{\text{D}}}{V_{\gamma}}} - 1 \right)</math>

when the voltage is greater than zero, it can be approximated by:

:<math>I_{\text{D}} \simeq I_{\text{S}} e^{\frac{V_{\text{D}}}{V_{\gamma}}}. </math>

The output voltage is given by:
:<math>v_{\text{out}} = -R I_{\text{D}}.\,</math>

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== अन्य उपयोग ==
<div class="references" style="-moz-column-count:3; column-count:3;"> 
* audio and video [[preamplifier|pre]]-[[amplifier]]s and [[buffer amplifier|buffers]]
* voltage [[comparator]]s
* [[differential amplifier]]s
* [[Derivative|differentiators]] and [[integrator]]s
* [[Filter (signal processing)|filters]]
* precision [[rectifier]]s
* [[voltage regulator]] and [[current regulator]]
* [[analog-to-digital converter]]
* [[digital-to-analog converter]]
* [[voltage clamp]]s
* [[electronic oscillator|oscillators]] and [[waveform generator]]s
* [[Schmitt trigger]]
* [[Gyrator]]
* [[Comparator]]
* [[Active filter]]
* [[Analog computer]]
* [[Capacitance multiplier]]
</div>

== इन्हें भी देखें ==
* [[आपरेशनल एम्प्लिफायर]]
* [[परिशुद्ध दिष्टकारी]]
* [[करेंट-फीडबैक आपरेशन एम्प्लिफायर]]
* [[आपरेशनल ट्रांसकंडक्टेंस एम्प्लिफायर]] (Operational transconductance amplifier)
* [[आवृत्ति समायोजन]] (Frequency compensation)

== analog ==
{{reflist}}

== अन्य पठनीय सामग्री ==
* Paul Horowitz and Winfield Hill, ''[[The Art of Electronics]]''. 2<sup>nd</sup> ed. Cambridge University Press, Cambridge, 1989 ISBN 0-521-37095-7
* Sergio Franco, ''Design with Operational Amplifiers and Analog Integrated Circuits'', 3<sup>rd</sup> ed., McGraw-Hill, New York, 2002 ISBN 0-07-232084-2

== बाहरी कड़ियाँ ==
* [https://web.archive.org/web/20061128002537/http://ourworld.compuserve.com/homepages/Bill_Bowden/opamp.htm Introduction to op-amp circuit stages, second order filters, single op-amp bandpass filters, and a simple intercom]
* {{PDFlink|[http://focus.ti.com/lit/an/slod006b/slod006b.pdf Op Amps for Everyone]|1.96&nbsp;[[Mebibyte|MiB]]<!-- application/pdf, 2061665 bytes -->}}
* [https://web.archive.org/web/20090906092439/http://hyperphysics.phy-astr.gsu.edu/Hbase/Electronic/opampvar.html Hyperphysics&nbsp;&ndash; descriptions of common applications]
* {{PDFlink|[http://instruct1.cit.cornell.edu/courses/bionb440/datasheets/SingleSupply.pdf Single supply op-amp circuit collection]|163&nbsp;[[Kibibyte|KiB]]<!-- application/pdf, 167039 bytes -->}}
* {{PDFlink|[http://www.national.com/an/AN/AN-31.pdf Op-amp circuit collection]|962&nbsp;[[Kibibyte|KiB]]<!-- application/pdf, 985824 bytes -->}}
* {{PDFlink|[http://www.analog.com/static/imported-files/application_notes/28080533AN106.pdf A Collection of Amp Applications]|1.06&nbsp;[[Mebibyte|MiB]]<!-- application/pdf, 1120990 bytes -->}}&nbsp;&ndash; [[Analog Devices]] [[Application note]]
* {{PDFlink|[http://www.ligo.caltech.edu/~vsanni/ph5/BasicOpAmpApplications.pdf Basic OpAmp Applications]|173&nbsp;[[Kibibyte|KiB]]<!-- application/pdf, 177205 bytes -->}}
* {{PDFlink|[http://focus.ti.com/lit/an/sboa092a/sboa092a.pdf Handbook of operational amplifier applications]|2.00&nbsp;[[Mebibyte|MiB]]<!-- application/pdf, 2103557 bytes -->}}&nbsp;&ndash; [[Texas Instruments]] [[Application note]]
* [https://web.archive.org/web/20090408192711/http://focus.ti.com/analog/docs/gencontent.tsp?familyId=57&genContentId=28017 Low Side Current Sensing Using Operational Amplifiers]
* [https://web.archive.org/web/20061213193542/http://www.play-hookey.com/analog/logarithmic_amplifier.html Logarithmic amplifier]
* [https://web.archive.org/web/20061213052915/http://www.play-hookey.com/analog/half-wave_rectifier.html Precision half-wave rectifier]
* [https://web.archive.org/web/20061119111227/http://www.play-hookey.com/analog/full-wave_rectifier.html Precision full-wave rectifier]
* {{PDFlink|[http://www.national.com/an/AN/AN-30.pdf Log/anti-log generators, cube generator, multiply/divide amp]|165&nbsp;[[Kibibyte|KiB]]<!-- application/pdf, 169719 bytes -->}}
* [https://web.archive.org/web/20060215074343/http://www.edn.com/archives/1994/030394/05di7.htm Logarithmically variable gain from a linear variable component]
* [https://web.archive.org/web/20110716201944/http://www.tedpavlic.com/teaching/osu/ece209/support/opamp_basics.pdf ECE 209: Operational amplifier basics]&nbsp;&ndash; Brief document explaining zero error by naive high-gain negative feedback. Gives single OpAmp example that generalizes typical configurations.
* [https://web.archive.org/web/20120515185817/http://www.tedpavlic.com/teaching/osu/ece327/lab2_fets/lab2_fets_integrators.pdf ECE 327: Practical Integrators and Operational Amplifier Offset]&nbsp;&ndash; Discusses sources of and ways of fixing offset and drift problems.
* [https://web.archive.org/web/20110716201844/http://www.tedpavlic.com/teaching/osu/ece327/lab3_vreg/lab3_vreg_procedure.pdf ECE 327: Voltage Regulators Procedures and Explanations]&nbsp;&ndash; In the "Improving dynamic performance" section, discusses methods of using [[decoupling capacitor|bypass capacitors]] to improve [[power supply rejection ratio|PSRR]] of components in designs.
* [https://web.archive.org/web/20090414022249/http://www.philbrickarchive.org/1964-1_v12_no1_the_lightning_empiricist.htm Impedance and admittance transformations using operational amplifiers] by D. H. Sheingold

[[श्रेणी:प्रवर्धक]]
[[श्रेणी:एकीकृत परिपथ]]