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{{Short description|Circuit arrangement of four diodes}}
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{{Infobox electronic component {{Infobox electronic component
| name = diode bridge | name = Diode bridge
| image = Brueckengleichrichter IMGP5380.jpg | image = Brueckengleichrichter IMGP5380.jpg
| caption = Diode bridge in various packages | caption = Diode bridge in various packages
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| symbol_caption = 2 ] (AC) inputs converted into 2 ] (DC) outputs | symbol_caption = 2 ] (AC) inputs converted into 2 ] (DC) outputs
}} }}
] ] side of the diode.]]


A '''diode bridge''' is a ] rectifier circuit of four ]s that is used in the process of converting ] (AC) from the input terminals to direct current (DC, i.e. fixed ]) on the output terminals. Its function is to convert the negative voltage portions of the AC waveform to positive voltage, after which a ] can be used to smooth the result into DC.<ref>{{Cite book |last1=Yazdani |first1=Amirnaser |title=Voltage-Sourced Converters in Power Systems Modeling, Control, and Applications |last2=Iravani |first2=Reza |date=15 February 2010 |publisher=Willey |isbn=9780470521564 |language=English}}</ref>
A '''diode bridge''' is an arrangement of four (or more) ]s in a ] configuration that provides the same ] of output for either polarity of input.


When used in its most common application, for conversion of an ] (AC) input into a ] (DC) output, it is known as a '''bridge ]'''. A bridge rectifier provides ] from a two-wire AC input, resulting in lower cost and weight as compared to a rectifier with a 3-wire input from a ] with a ] secondary winding.<ref name=AOE>{{cite book |last1=Horowitz |first1=Paul |last2=Hill |first2=Winfield |title=The Art of Electronics|url=https://archive.org/details/artofelectronics00horo |url-access=registration |edition=Second|publisher=Cambridge University Press|year=1989|pages=|ISBN=0-521-37095-7}}</ref> When used in its most common application, for conversion of an ] (AC) input into a ] (DC) output, it is known as a '''bridge rectifier'''. A bridge ] provides ] from a two-wire AC input, resulting in lower cost and weight as compared to a rectifier with a three-wire input from a ] with a ] secondary winding.<ref name=AOE>{{cite book |last1=Horowitz |first1=Paul |last2=Hill |first2=Winfield |title=The Art of Electronics |url=https://archive.org/details/artofelectronics00horo |url-access=registration |edition=Second |publisher=Cambridge University Press |year=1989 |pages= |isbn=0-521-37095-7}}</ref>


Prior to the availability of ]s, a bridge rectifier was constructed from separate diodes. Since about 1950, a single four-terminal component containing the four diodes connected in a bridge configuration has been available and is now available with various ] and current ratings.
The essential feature of a diode bridge is that the polarity of the output is the same regardless of the polarity at the input. The diode bridge circuit was invented by ] ] ] and patented in December 1895 in Great Britain<ref>.</ref> and in January 1896 in Germany<ref></ref><ref>{{cite journal|last1=(Editorial staff)|title=Ein neues Gleichrichter-Verfahren|journal=Elektrotechnische Zeitschrift|date=24 June 1897|volume=18|issue=25|page=359 and footnote|url=https://babel.hathitrust.org/cgi/pt?id=njp.32101050985074;view=1up;seq=381|trans-title=A new method of rectification|language=German}}</ref>. In 1897, the German physicist ] independently invented and published a similar circuit.<ref>See:
* {{cite journal|last1=Graetz|first1=L.|title=Electrochemisches Verfahren, um Wechselströme in Gleichströme zu verwandeln|journal=Sitzungsberichte der Mathematisch-Physikalischen Classe der Königlich Bayerischen Akademie der Wissenschaften zu München (Transactions of the Mathematical-Physical Classes of the Royal Bavarian Academy of Sciences in Munich)|date=1 May 1897|volume=27|pages=223–228|url=https://babel.hathitrust.org/cgi/pt?id=hvd.32044092897610;view=1up;seq=1069|trans-title=Electrochemical method of changing alternating into direct currents|language=German}}
* {{cite journal|last1=Graetz|first1=L.|title=Electrochemisches Verfahren, um Wechselströme in Gleichströme zu verwandeln|journal=Annalen der Physik und Chemie|date=1897|volume=62|pages=323–327|url=https://babel.hathitrust.org/cgi/pt?id=wu.89048352934;view=1up;seq=385|series=3rd series|trans-title=Electrochemical method of changing alternating into direct currents|language=German}}
* {{cite journal|last1=Graetz|first1=Leo|title=Electrochemisches Verfahren, um Wechselströme in Gleichströme zu verwandeln|journal=Elektrotechnische Zeitschrift|date=22 July 1897|volume=18|issue=29|pages=423–424|url=https://babel.hathitrust.org/cgi/pt?id=njp.32101050985074;view=1up;seq=445|trans-title=Electrochemical method of changing alternating into direct currents|language=German}}
</ref><ref>Strzelecki, R. . Springer, 2008, p. 57.</ref> Today the circuit is still referred to as a '''Graetz circuit''' or '''Graetz bridge'''.<ref>{{cite web|url=http://www.mathworks.in/help/physmod/hydro/examples/graetz-flow-control-circuit.html |title=Graetz Flow Control Circuit |url-status=dead |archiveurl=https://web.archive.org/web/20131104072407/http://www.mathworks.in/help/physmod/hydro/examples/graetz-flow-control-circuit.html |archivedate=2013-11-04 }}</ref>

Prior to the availability of ]s, a bridge rectifier was constructed from "discrete components", i.e., separate diodes. Since about 1950, a single four-terminal component containing the four diodes connected in a bridge configuration became a standard commercial component and is now available with various ] and current ratings.


Diodes are also used in bridge topologies along with capacitors as ]s. Diodes are also used in bridge topologies along with capacitors as ]s.


==Current flow== == History ==
The diode bridge circuit was invented by ] and patented in December 1895 in Great Britain<ref>.</ref> and in January 1896 in Germany.<ref></ref><ref>{{cite journal |last1=(Editorial staff) |title=''Ein neues Gleichrichter-Verfahren'' |journal=Elektrotechnische Zeitschrift |date=24 June 1897 |volume=18 |issue=25 |page=359 and footnote |url=https://babel.hathitrust.org/cgi/pt?id=njp.32101050985074;view=1up;seq=381 |trans-title=A new method of rectification |language=de}}</ref> In 1897, ] independently invented and published a similar circuit.<ref>See:
According to the ] of ] flow (originally established by ] and still followed by most engineers today<ref>Stutz, Michael (stutz@dsl.org), , ''All About Circuits'', Vol. 1, Chapter 1, 2000.</ref>), current flows through ]s from the ''positive'' to the ''negative'' pole (defined as "positive flow"). In actuality, ] in a conductor nearly always flow from the ''negative'' to the ''positive'' pole. In the vast majority of applications, however, the ''actual'' direction of current flow is irrelevant. Therefore, in the discussion below the conventional model is retained.
* {{cite journal |last1=Graetz |first1=L. |title=''Electrochemisches Verfahren, um Wechselströme in Gleichströme zu verwandeln'' |journal=Sitzungsberichte der Mathematisch-Physikalischen Classe der Königlich Bayerischen Akademie der Wissenschaften zu München (Transactions of the Mathematical-Physical Classes of the Royal Bavarian Academy of Sciences in Munich) |date=1 May 1897 |volume=27 |issue=10 |pages=223–228 |doi=10.1002/andp.18972981008 |bibcode=1897AnP...298..323G|url=https://babel.hathitrust.org/cgi/pt?id=hvd.32044092897610;view=1up;seq=1069 |trans-title=Electrochemical method of changing alternating into direct currents |language=de}}
* {{cite journal |last1=Graetz |first1=L. |title=''Electrochemisches Verfahren, um Wechselströme in Gleichströme zu verwandeln'' |journal=Annalen der Physik und Chemie |date=1897 |volume=62 |pages=323–327 |url=https://babel.hathitrust.org/cgi/pt?id=wu.89048352934;view=1up;seq=385 |series=3rd series |issue=10 |doi=10.1002/andp.18972981008 |bibcode=1897AnP...298..323G |trans-title=Electrochemical method of changing alternating into direct currents|language=de}}
* {{cite journal |last1=Graetz |first1=L. |title=''Electrochemisches Verfahren, um Wechselströme in Gleichströme zu verwandeln'' |journal=Elektrotechnische Zeitschrift|date=22 July 1897 |volume=18 |issue=29 |pages=423–424 |doi=10.1002/andp.18972981008 |bibcode=1897AnP...298..323G|url=https://babel.hathitrust.org/cgi/pt?id=njp.32101050985074;view=1up;seq=445 |trans-title=Electrochemical method of changing alternating into direct currents |language=de}}
</ref><ref>{{cite book |editor-last1=Strzelecki |editor-first1=Ryszard Michal |editor-last2=Benysek |editor-first2=Grzegorz |url=https://books.google.com/books?id=LqWPPiSM5M0C&pg=PA57 |title=Power Electronics in Smart Electrical Energy Networks |isbn=9781848003187 |publisher=Springer |date=August 29, 2008 |page=57}}</ref> Today the circuit is sometimes referred to as a "Graetz circuit" or "Graetz bridge".<ref>{{cite web |url=http://www.mathworks.in/help/physmod/hydro/examples/graetz-flow-control-circuit.html |title=Graetz Flow Control Circuit |url-status=dead |archive-url=https://web.archive.org/web/20131104072407/http://www.mathworks.in/help/physmod/hydro/examples/graetz-flow-control-circuit.html |archive-date=2013-11-04 }}</ref>
== Current flow==
According to the ] of ] flow, originally established by ] and still followed by most engineers today<ref>Stutz, Michael (stutz@dsl.org), , ''All About Circuits'', Vol. 1, Chapter 1, 2000.</ref>), current flows through ]s from the positive to the negative pole (defined as positive flow). In actuality, ] in a conductor nearly always flow from the negative to the positive pole. In the vast majority of applications, however, the actual direction of current flow is irrelevant. Therefore, in the discussion below the conventional model is retained.


The fundamental characteristic of a diode is that current can flow only one way through it, which is defined as the forward direction. A diode bridge uses diodes as series components to allow current to pass in the forward direction during the positive part of the AC cycle and as shunt components to redirect current flowing in the reverse direction during the negative part of the AC cycle to the opposite rails. The fundamental characteristic of a diode is that current can flow only one way through it, which is defined as the forward direction. A diode bridge uses diodes as series components to allow current to pass in the forward direction during the positive part of the AC cycle and as shunt components to redirect current flowing in the reverse direction during the negative part of the AC cycle to the opposite rails.


==Rectifier== == Rectifier ==
In the diagrams below, when the input connected to the left corner of the diamond is ''positive'', and the input connected to the right corner is ''negative'', current flows from the ''upper'' supply terminal to the right along the ''red'' (positive) path to the output and returns to the lower supply terminal through the ''blue'' (negative) path. In the diagrams below, when the input connected to the left corner of the diamond is positive, and the input connected to the right corner is negative, current flows from the upper supply terminal to the right along the red (positive) path to the output and returns to the lower supply terminal through the blue (negative) path.


] ]


When the input connected to the left corner is ''negative'', and the input connected to the right corner is ''positive'', current flows from the ''lower'' supply terminal to the right along the ''red'' (positive) path to the output and returns to the upper supply terminal through the ''blue'' (negative) path.<ref name=SZY>Sears, Francis W., Mark W. Zemansky and Hugh D. Young, ''University Physics'', Sixth Ed., Addison-Wesely Publishing Co., Inc., 1982, p. 685.</ref> When the input connected to the left corner is negative, and the input connected to the right corner is positive, current flows from the lower supply terminal to the right along the red (positive) path to the output and returns to the upper supply terminal through the blue (negative) path.<ref name=SZY>{{cite book |editor-last1=Sears |editor-first1=Francis W. |editor-last2=Zemansky |editor-first2=Mark W. |editor-last3=Young |editor-first3=Hugh D. |title=University Physics |edition=6th |publisher=Addison-Wesely Publishing Co., Inc. |date=1982 |page=685 |isbn=0201071959}}</ref>


] ]


] ]


In each case, the upper right output remains positive<ref>{{cite web |url=https://www.thegeekpub.com/243767/bridge-rectifier-circuit-electronics-basics/ |website=The Geek Pub |accessdate=3 September 2019}}</ref>, and lower right output negative. Since this is true whether the input is AC or DC, this circuit not only produces a DC output from an AC input, it can also provide what is sometimes called "reverse-polarity protection". That is, it permits normal functioning of DC-powered equipment when ] have been installed backwards, or when the leads (wires) from a DC power source have been reversed, and protects the equipment from potential damage caused by reverse polarity. In each case, the upper right output remains positive,<ref>{{cite web |url=https://www.thegeekpub.com/243767/bridge-rectifier-circuit-electronics-basics/ |title=Bridge Rectifier Circuit - Electronics Basics |website=The Geek Pub |date=15 August 2019 |access-date=3 September 2019}}</ref> and lower right output negative. Since this is true whether the input is AC or DC, this circuit not only produces a DC output from an AC input, it can also provide reverse-polarity protection; that is, it permits normal functioning of DC-powered equipment when batteries have been installed backwards, or when the leads from a DC power source have been reversed, and protects the equipment from potential damage caused by reverse polarity.<ref>{{cite web |title=Reverse Polarity Protection |at=Bridge Rectifier for Reverse Polarity Protection |website=The Renewable Energy UK Website |url=http://www.reuk.co.uk/wordpress/electric-circuit/reverse-polarity-protection/ |access-date=18 December 2023 |archive-date=4 May 2023 |archive-url=https://web.archive.org/web/20230504095844/http://www.reuk.co.uk/wordpress/electric-circuit/reverse-polarity-protection/ |url-status=live }}</ref>


Alternatives to the diode-bridge full-wave rectifiers are the ], and ] rectifier using two diodes and two capacitors in a bridge topology. Alternatives to the diode-bridge full-wave rectifiers are the ], and ] rectifier using two diodes and two capacitors in a bridge topology.
Line 49: Line 53:
] and full-wave rectified signals<ref name="CEST">"Rectifier", ''Concise Encyclopedia of Science and Technology'', Third Edition, Sybil P. Parker, ed. McGraw-Hill, Inc., 1994, p. 1589.</ref>]] ] and full-wave rectified signals<ref name="CEST">"Rectifier", ''Concise Encyclopedia of Science and Technology'', Third Edition, Sybil P. Parker, ed. McGraw-Hill, Inc., 1994, p. 1589.</ref>]]


==Smoothing circuits== == Smoothing circuits ==
{{unreferenced section|date=October 2017}} {{unreferenced section|date=October 2017}}
{{See also|Rectifier#Rectifier output smoothing}} {{See also|Rectifier#Rectifier output smoothing}}
With AC input, the output of a diode bridge (called a ] for this purpose; there is also ], which does not use a diode bridge) is polarized pulsating ] voltage of the same amplitude but twice the frequency of the input. It may be considered as DC voltage upon which is superimposed a very large ]. This kind of electric power is not very usable, because ripple is dissipated as ] in DC circuit components and may cause noise or distortion during circuit operation. So nearly all rectifiers are followed by a series of ] or ]s and/or a ] to convert most or all of the ripple voltage into a smoother and possibly higher DC output. A filter may be as simple as a single sufficiently large ] or ], but most power-supply filters have multiple alternating series and shunt components. When the ripple voltage rises, ] is stored in the filter components, reducing the voltage; when the ripple voltage falls, reactive power is discharged from the filter components, raising the voltage. The final stage of rectification may consist of a ]-based voltage regulator, which almost completely eliminates any residual ripple. With AC input, the output of a diode bridge (called a ] for this purpose; there is also ], which does not use a diode bridge) is polarized pulsating ] voltage of the same amplitude but twice the frequency of the input. It may be considered as DC voltage upon which is superimposed a very large ]. This kind of electric power is not very usable, because ripple is dissipated as ] in DC circuit components and may cause noise or distortion during circuit operation. So nearly all rectifiers are followed by a series of ] or ]s and/or a ] to convert most or all of the ripple voltage into a smoother and possibly higher DC output. A filter may be as simple as a single sufficiently large ] or ], but most power-supply filters have multiple alternating series and shunt components. When the ripple voltage rises, ] is stored in the filter components, reducing the voltage; when the ripple voltage falls, reactive power is discharged from the filter components, raising the voltage. The final stage of rectification may consist of a ]-based voltage regulator, which almost completely eliminates any residual ripple.


== Polyphase diode bridges ==
==Snubber circuits==
Power-supply transformers have leakage inductance and parasitic capacitance. When the diodes in a bridge rectifier switch off, these "non-ideal" elements form a resonant circuit, which can oscillate at high frequency. This high-frequency oscillation can then couple into the rest of the circuitry. Snubber circuits are used in an attempt to mitigate this problem. A snubber circuit consists of either a very small capacitor or series capacitor and resistor across a diode.

==Polyphase diode bridges==
{{See also|Rectifier#Three-phase rectifiers}} {{See also|Rectifier#Three-phase rectifiers}}
The diode bridge can be generalized to rectify ] AC inputs. For example, for a three-phase AC input, a half-wave rectifier consists of three diodes, but a full-wave bridge rectifier consists of six diodes. The diode bridge can be generalized to rectify ] AC inputs. For example, for a three-phase AC input, a half-wave rectifier consists of three diodes, but a full-wave bridge rectifier consists of six diodes.{{Citation needed|date=April 2021}}


Half-wave rectifier may be considered as wye connection (star connection), because it returns the current through the centre (neutral) wire. Full-wave is more like delta connection, although it can be connected to the three-phase source of either wye or delta and it does not use the centre (neutral) wire. A half-wave rectifier may be considered a ] (star connection), because it returns the current through the center (neutral) wire. A full-wave rectifier is more like a ], although it can be connected to the three-phase source of either wye or delta and it does not use the center (neutral) wire.{{Citation needed|date=April 2021}}


] ] <!-- invisible in night mode on phone browsers -->
] ]
]]] ] bridge rectifier for a ]]]
{{Clear}} {{Clear}}


==See also== == See also ==
* ] also called rectifier diodes * ] also called rectifier diodes
* ] * ]
* ] * ]


==References== == References ==
{{Reflist}} {{reflist}}


==External links== == External links ==
{{Commons category|Bridge rectifiers}} {{Commons category|Bridge rectifiers}}
* {{cite web|url=https://www.youtube.com/watch?v=hFh92YR3Xks|title=Electronics: Bridge Rectifiers (1969) US Air Force Training Film|publisher=Old Movies Reborn (Youtube)|date=July 16, 2017}}


{{Bridge circuits}} {{Bridge circuits}}

Latest revision as of 02:47, 8 October 2024

Circuit arrangement of four diodes

Diode bridge
Diode bridge in various packages
TypeSemiconductor
InventorKarol Pollak in 1895
Electronic symbol

2 alternating-current (AC) inputs converted into 2 direct-current (DC) outputs
A hand-made diode bridge. The silver band on the diodes indicates the cathode side of the diode.

A diode bridge is a bridge rectifier circuit of four diodes that is used in the process of converting alternating current (AC) from the input terminals to direct current (DC, i.e. fixed polarity) on the output terminals. Its function is to convert the negative voltage portions of the AC waveform to positive voltage, after which a low-pass filter can be used to smooth the result into DC.

When used in its most common application, for conversion of an alternating-current (AC) input into a direct-current (DC) output, it is known as a bridge rectifier. A bridge rectifier provides full-wave rectification from a two-wire AC input, resulting in lower cost and weight as compared to a rectifier with a three-wire input from a transformer with a center-tapped secondary winding.

Prior to the availability of integrated circuits, a bridge rectifier was constructed from separate diodes. Since about 1950, a single four-terminal component containing the four diodes connected in a bridge configuration has been available and is now available with various voltage and current ratings.

Diodes are also used in bridge topologies along with capacitors as voltage multipliers.

History

The diode bridge circuit was invented by Karol Pollak and patented in December 1895 in Great Britain and in January 1896 in Germany. In 1897, Leo Graetz independently invented and published a similar circuit. Today the circuit is sometimes referred to as a "Graetz circuit" or "Graetz bridge".

Current flow

According to the conventional model of current flow, originally established by Benjamin Franklin and still followed by most engineers today), current flows through electrical conductors from the positive to the negative pole (defined as positive flow). In actuality, free electrons in a conductor nearly always flow from the negative to the positive pole. In the vast majority of applications, however, the actual direction of current flow is irrelevant. Therefore, in the discussion below the conventional model is retained.

The fundamental characteristic of a diode is that current can flow only one way through it, which is defined as the forward direction. A diode bridge uses diodes as series components to allow current to pass in the forward direction during the positive part of the AC cycle and as shunt components to redirect current flowing in the reverse direction during the negative part of the AC cycle to the opposite rails.

Rectifier

In the diagrams below, when the input connected to the left corner of the diamond is positive, and the input connected to the right corner is negative, current flows from the upper supply terminal to the right along the red (positive) path to the output and returns to the lower supply terminal through the blue (negative) path.

When the input connected to the left corner is negative, and the input connected to the right corner is positive, current flows from the lower supply terminal to the right along the red (positive) path to the output and returns to the upper supply terminal through the blue (negative) path.

An animated diagram of a diode bridge, where pulsing is meant to represent an electric current

In each case, the upper right output remains positive, and lower right output negative. Since this is true whether the input is AC or DC, this circuit not only produces a DC output from an AC input, it can also provide reverse-polarity protection; that is, it permits normal functioning of DC-powered equipment when batteries have been installed backwards, or when the leads from a DC power source have been reversed, and protects the equipment from potential damage caused by reverse polarity.

Alternatives to the diode-bridge full-wave rectifiers are the center-tapped transformer and double-diode rectifier, and voltage doubler rectifier using two diodes and two capacitors in a bridge topology.

AC, half-wave and full-wave rectified signals

Smoothing circuits

This section does not cite any sources. Please help improve this section by adding citations to reliable sources. Unsourced material may be challenged and removed. (October 2017) (Learn how and when to remove this message)
See also: Rectifier § Rectifier output smoothing

With AC input, the output of a diode bridge (called a full-wave rectifier for this purpose; there is also half-wave rectification, which does not use a diode bridge) is polarized pulsating non-sinusoidal voltage of the same amplitude but twice the frequency of the input. It may be considered as DC voltage upon which is superimposed a very large ripple voltage. This kind of electric power is not very usable, because ripple is dissipated as waste heat in DC circuit components and may cause noise or distortion during circuit operation. So nearly all rectifiers are followed by a series of bandpass or bandstop filters and/or a voltage regulator to convert most or all of the ripple voltage into a smoother and possibly higher DC output. A filter may be as simple as a single sufficiently large capacitor or choke, but most power-supply filters have multiple alternating series and shunt components. When the ripple voltage rises, reactive power is stored in the filter components, reducing the voltage; when the ripple voltage falls, reactive power is discharged from the filter components, raising the voltage. The final stage of rectification may consist of a zener diode-based voltage regulator, which almost completely eliminates any residual ripple.

Polyphase diode bridges

See also: Rectifier § Three-phase rectifiers

The diode bridge can be generalized to rectify polyphase AC inputs. For example, for a three-phase AC input, a half-wave rectifier consists of three diodes, but a full-wave bridge rectifier consists of six diodes.

A half-wave rectifier may be considered a wye connection (star connection), because it returns the current through the center (neutral) wire. A full-wave rectifier is more like a delta connection, although it can be connected to the three-phase source of either wye or delta and it does not use the center (neutral) wire.

Three-phase full-wave bridge rectifier
3-phase AC input waveform (top), half-wave rectified waveform (center), and full-wave rectified waveform (bottom)
Three-phase bridge rectifier for a wind turbine

See also

References

  1. Yazdani, Amirnaser; Iravani, Reza (15 February 2010). Voltage-Sourced Converters in Power Systems Modeling, Control, and Applications. Willey. ISBN 9780470521564.
  2. Horowitz, Paul; Hill, Winfield (1989). The Art of Electronics (Second ed.). Cambridge University Press. pp. 44–47. ISBN 0-521-37095-7.
  3. British patent 24398.
  4. (Graetz, 1897), p. 327 footnote.
  5. (Editorial staff) (24 June 1897). "Ein neues Gleichrichter-Verfahren" [A new method of rectification]. Elektrotechnische Zeitschrift (in German). 18 (25): 359 and footnote.
  6. See:
  7. Strzelecki, Ryszard Michal; Benysek, Grzegorz, eds. (August 29, 2008). Power Electronics in Smart Electrical Energy Networks. Springer. p. 57. ISBN 9781848003187.
  8. "Graetz Flow Control Circuit". Archived from the original on 2013-11-04.
  9. Stutz, Michael (stutz@dsl.org), "Conventional versus electron flow", All About Circuits, Vol. 1, Chapter 1, 2000.
  10. Sears, Francis W.; Zemansky, Mark W.; Young, Hugh D., eds. (1982). University Physics (6th ed.). Addison-Wesely Publishing Co., Inc. p. 685. ISBN 0201071959.
  11. "Bridge Rectifier Circuit - Electronics Basics". The Geek Pub. 15 August 2019. Retrieved 3 September 2019.
  12. "Reverse Polarity Protection". The Renewable Energy UK Website. Bridge Rectifier for Reverse Polarity Protection. Archived from the original on 4 May 2023. Retrieved 18 December 2023.
  13. "Rectifier", Concise Encyclopedia of Science and Technology, Third Edition, Sybil P. Parker, ed. McGraw-Hill, Inc., 1994, p. 1589.

External links

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