Ferrite vs iron powder toroid for buck converter?












2














I'm wondering about the difference between small (13mm outer dia) ferrite and the yellow white iron powder toroids. Will the ferrite toroids saturate at 5A current? I'm planning on using the cores for buck converters (mostly 3A at probably below 200KHz). (Sorry for naive questions, I don't know much about inductors.)



These are the ones I am looking at:



Ferrite: https://www.ebay.com/itm/Metal-Core-Power-Inductor-Ferrite-Rings-Toroid-Cord-25x10x15mm/310980203521 (also available in 13mm outer dia)



Iron powder: https://www.ebay.com/itm/7mm-Inner-Diameter-Ferrite-Ring-Iron-Toroid-Cores-Yellow-White-50PCS-LW/181834403242



Most of the buck converters seem to use the yellow white iron powder toroids like this https://www.ebay.com/itm/5Pcs-Toroid-Core-Inductors-Wire-Wind-Wound-mah-100uH-6A-Coil-DIY/221981982278 .



From searching on the internet, the yellow white toroids seem to have a permeability of 75, and the ferrite has a permeability of 2300 or so. Is this important for saturation. I have some toroids and an LCR meter, and the ferrite toroid needs only a few turns of wire to get a 1mH inductor, vs many more turns for the iron powder core. Will this matter if peak current through the inductor is limited?



I'm guessing the ferrite toroids are great at low currents (0-100mA) and low frequencies (<100KHz, as I can get more inductance with fewer turns). But, are they also good for higher currents (like 5-6A peak)?



Any help will be appreciated.



[PS: also another reason I ask, is that at my place, the ferrite cores are half the price of the iron powder cores.]










share|improve this question
























  • I was trying to figure this out not long ago. I ended up going with the iron powder power inductor cores(yellow and white), but I've learned they have a functional limit of ~1Mhz due to pole switching losses or some such, so I've been wondering what kind of inductor is used in higher frequency power converters.
    – K H
    59 mins ago


















2














I'm wondering about the difference between small (13mm outer dia) ferrite and the yellow white iron powder toroids. Will the ferrite toroids saturate at 5A current? I'm planning on using the cores for buck converters (mostly 3A at probably below 200KHz). (Sorry for naive questions, I don't know much about inductors.)



These are the ones I am looking at:



Ferrite: https://www.ebay.com/itm/Metal-Core-Power-Inductor-Ferrite-Rings-Toroid-Cord-25x10x15mm/310980203521 (also available in 13mm outer dia)



Iron powder: https://www.ebay.com/itm/7mm-Inner-Diameter-Ferrite-Ring-Iron-Toroid-Cores-Yellow-White-50PCS-LW/181834403242



Most of the buck converters seem to use the yellow white iron powder toroids like this https://www.ebay.com/itm/5Pcs-Toroid-Core-Inductors-Wire-Wind-Wound-mah-100uH-6A-Coil-DIY/221981982278 .



From searching on the internet, the yellow white toroids seem to have a permeability of 75, and the ferrite has a permeability of 2300 or so. Is this important for saturation. I have some toroids and an LCR meter, and the ferrite toroid needs only a few turns of wire to get a 1mH inductor, vs many more turns for the iron powder core. Will this matter if peak current through the inductor is limited?



I'm guessing the ferrite toroids are great at low currents (0-100mA) and low frequencies (<100KHz, as I can get more inductance with fewer turns). But, are they also good for higher currents (like 5-6A peak)?



Any help will be appreciated.



[PS: also another reason I ask, is that at my place, the ferrite cores are half the price of the iron powder cores.]










share|improve this question
























  • I was trying to figure this out not long ago. I ended up going with the iron powder power inductor cores(yellow and white), but I've learned they have a functional limit of ~1Mhz due to pole switching losses or some such, so I've been wondering what kind of inductor is used in higher frequency power converters.
    – K H
    59 mins ago
















2












2








2


0





I'm wondering about the difference between small (13mm outer dia) ferrite and the yellow white iron powder toroids. Will the ferrite toroids saturate at 5A current? I'm planning on using the cores for buck converters (mostly 3A at probably below 200KHz). (Sorry for naive questions, I don't know much about inductors.)



These are the ones I am looking at:



Ferrite: https://www.ebay.com/itm/Metal-Core-Power-Inductor-Ferrite-Rings-Toroid-Cord-25x10x15mm/310980203521 (also available in 13mm outer dia)



Iron powder: https://www.ebay.com/itm/7mm-Inner-Diameter-Ferrite-Ring-Iron-Toroid-Cores-Yellow-White-50PCS-LW/181834403242



Most of the buck converters seem to use the yellow white iron powder toroids like this https://www.ebay.com/itm/5Pcs-Toroid-Core-Inductors-Wire-Wind-Wound-mah-100uH-6A-Coil-DIY/221981982278 .



From searching on the internet, the yellow white toroids seem to have a permeability of 75, and the ferrite has a permeability of 2300 or so. Is this important for saturation. I have some toroids and an LCR meter, and the ferrite toroid needs only a few turns of wire to get a 1mH inductor, vs many more turns for the iron powder core. Will this matter if peak current through the inductor is limited?



I'm guessing the ferrite toroids are great at low currents (0-100mA) and low frequencies (<100KHz, as I can get more inductance with fewer turns). But, are they also good for higher currents (like 5-6A peak)?



Any help will be appreciated.



[PS: also another reason I ask, is that at my place, the ferrite cores are half the price of the iron powder cores.]










share|improve this question















I'm wondering about the difference between small (13mm outer dia) ferrite and the yellow white iron powder toroids. Will the ferrite toroids saturate at 5A current? I'm planning on using the cores for buck converters (mostly 3A at probably below 200KHz). (Sorry for naive questions, I don't know much about inductors.)



These are the ones I am looking at:



Ferrite: https://www.ebay.com/itm/Metal-Core-Power-Inductor-Ferrite-Rings-Toroid-Cord-25x10x15mm/310980203521 (also available in 13mm outer dia)



Iron powder: https://www.ebay.com/itm/7mm-Inner-Diameter-Ferrite-Ring-Iron-Toroid-Cores-Yellow-White-50PCS-LW/181834403242



Most of the buck converters seem to use the yellow white iron powder toroids like this https://www.ebay.com/itm/5Pcs-Toroid-Core-Inductors-Wire-Wind-Wound-mah-100uH-6A-Coil-DIY/221981982278 .



From searching on the internet, the yellow white toroids seem to have a permeability of 75, and the ferrite has a permeability of 2300 or so. Is this important for saturation. I have some toroids and an LCR meter, and the ferrite toroid needs only a few turns of wire to get a 1mH inductor, vs many more turns for the iron powder core. Will this matter if peak current through the inductor is limited?



I'm guessing the ferrite toroids are great at low currents (0-100mA) and low frequencies (<100KHz, as I can get more inductance with fewer turns). But, are they also good for higher currents (like 5-6A peak)?



Any help will be appreciated.



[PS: also another reason I ask, is that at my place, the ferrite cores are half the price of the iron powder cores.]







inductor ferrite iron toroid






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited 1 hour ago







Indraneel

















asked 1 hour ago









IndraneelIndraneel

1,087411




1,087411












  • I was trying to figure this out not long ago. I ended up going with the iron powder power inductor cores(yellow and white), but I've learned they have a functional limit of ~1Mhz due to pole switching losses or some such, so I've been wondering what kind of inductor is used in higher frequency power converters.
    – K H
    59 mins ago




















  • I was trying to figure this out not long ago. I ended up going with the iron powder power inductor cores(yellow and white), but I've learned they have a functional limit of ~1Mhz due to pole switching losses or some such, so I've been wondering what kind of inductor is used in higher frequency power converters.
    – K H
    59 mins ago


















I was trying to figure this out not long ago. I ended up going with the iron powder power inductor cores(yellow and white), but I've learned they have a functional limit of ~1Mhz due to pole switching losses or some such, so I've been wondering what kind of inductor is used in higher frequency power converters.
– K H
59 mins ago






I was trying to figure this out not long ago. I ended up going with the iron powder power inductor cores(yellow and white), but I've learned they have a functional limit of ~1Mhz due to pole switching losses or some such, so I've been wondering what kind of inductor is used in higher frequency power converters.
– K H
59 mins ago












2 Answers
2






active

oldest

votes


















3














There is a color standard for painted toroids, and yellow means it has hysteresis to prevent saturation and is meant for filter inductors. But a side effect is that it has very low permeability. Black ferrite is usually a good choice for transformers. Blue is an expensive Permalloy that is more efficient than ferrite. Green is low frequency filters made with silicon steel tape wrapped to form a toroid.



This chart is generic as it is not including fine details such as permeability, and does not state if iron, steel, ferrite or permalloy, which is a nickel-iron alloy.



PC power supplies can put out over 1,000 watts and they use E cores as they are easy to wind by machine, and can have a cross section large enough to handle as much as 10 ampere/turns, and a tiny 10 mil air gap helps a lot. Large toroids need expensive winding machine heads so toroids are better used at low voltages were the number of windings is low, such as car stereo power supplies.



NOTE: Sometimes practical reasons determine what material and shape of transformer are used, which is not always the best choice. Cost and size compete with efficiency. The opinions of engineering and marketing and sales are not the same, and who wins determines what is used. "Just good enough" wins most of the time.



enter image description here






share|improve this answer























  • And what about the unpainted black ferrites? That's the cheapest one at my place. One can also see them inside CFL lamps. I already know they work at low currents very well with a MC34063, and also as jewel thief. But how about 3A buck converter with LM2596?
    – Indraneel
    56 mins ago












  • For a given design based on a PWM IC the manufacture often specifies core material or a part number that you can search with. There a many toroid manufactures all over the world.
    – Sparky256
    46 mins ago










  • Well, the LM2596 datasheet says ferrite E core or ferrite bobbin or powdered iron toroid. So, is this because the peak current is already too high for ferrite cores without an air gap?
    – Indraneel
    37 mins ago










  • I added some more to my answer.
    – Sparky256
    13 mins ago



















1














Powdered Iron is Cheap and more forgiving when it comes to saturation due to the more gradual BH curves . There is a down side when for Buck and most other DC/DC convertors . The inductor ripple current will cause more core losses in the powdered iron than in most ferrites . It is quite normal to have AC ripple currents at about 33% of the max DC load current . So on an orthodox hard-switched peak current mode switching regime which most easy to buy chips are specified to do you will get lower efficiency on powdered iron . When I run powdered iron I set up for very low ripple currents to make core losses very low.






share|improve this answer



















  • 1




    I corrected your grammar. Normally there is a space after a period. +1 for the peak current statement.
    – Sparky256
    7 mins ago











Your Answer





StackExchange.ifUsing("editor", function () {
return StackExchange.using("mathjaxEditing", function () {
StackExchange.MarkdownEditor.creationCallbacks.add(function (editor, postfix) {
StackExchange.mathjaxEditing.prepareWmdForMathJax(editor, postfix, [["\$", "\$"]]);
});
});
}, "mathjax-editing");

StackExchange.ifUsing("editor", function () {
return StackExchange.using("schematics", function () {
StackExchange.schematics.init();
});
}, "cicuitlab");

StackExchange.ready(function() {
var channelOptions = {
tags: "".split(" "),
id: "135"
};
initTagRenderer("".split(" "), "".split(" "), channelOptions);

StackExchange.using("externalEditor", function() {
// Have to fire editor after snippets, if snippets enabled
if (StackExchange.settings.snippets.snippetsEnabled) {
StackExchange.using("snippets", function() {
createEditor();
});
}
else {
createEditor();
}
});

function createEditor() {
StackExchange.prepareEditor({
heartbeatType: 'answer',
autoActivateHeartbeat: false,
convertImagesToLinks: false,
noModals: true,
showLowRepImageUploadWarning: true,
reputationToPostImages: null,
bindNavPrevention: true,
postfix: "",
imageUploader: {
brandingHtml: "Powered by u003ca class="icon-imgur-white" href="https://imgur.com/"u003eu003c/au003e",
contentPolicyHtml: "User contributions licensed under u003ca href="https://creativecommons.org/licenses/by-sa/3.0/"u003ecc by-sa 3.0 with attribution requiredu003c/au003e u003ca href="https://stackoverflow.com/legal/content-policy"u003e(content policy)u003c/au003e",
allowUrls: true
},
onDemand: true,
discardSelector: ".discard-answer"
,immediatelyShowMarkdownHelp:true
});


}
});














draft saved

draft discarded


















StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2felectronics.stackexchange.com%2fquestions%2f416370%2fferrite-vs-iron-powder-toroid-for-buck-converter%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown

























2 Answers
2






active

oldest

votes








2 Answers
2






active

oldest

votes









active

oldest

votes






active

oldest

votes









3














There is a color standard for painted toroids, and yellow means it has hysteresis to prevent saturation and is meant for filter inductors. But a side effect is that it has very low permeability. Black ferrite is usually a good choice for transformers. Blue is an expensive Permalloy that is more efficient than ferrite. Green is low frequency filters made with silicon steel tape wrapped to form a toroid.



This chart is generic as it is not including fine details such as permeability, and does not state if iron, steel, ferrite or permalloy, which is a nickel-iron alloy.



PC power supplies can put out over 1,000 watts and they use E cores as they are easy to wind by machine, and can have a cross section large enough to handle as much as 10 ampere/turns, and a tiny 10 mil air gap helps a lot. Large toroids need expensive winding machine heads so toroids are better used at low voltages were the number of windings is low, such as car stereo power supplies.



NOTE: Sometimes practical reasons determine what material and shape of transformer are used, which is not always the best choice. Cost and size compete with efficiency. The opinions of engineering and marketing and sales are not the same, and who wins determines what is used. "Just good enough" wins most of the time.



enter image description here






share|improve this answer























  • And what about the unpainted black ferrites? That's the cheapest one at my place. One can also see them inside CFL lamps. I already know they work at low currents very well with a MC34063, and also as jewel thief. But how about 3A buck converter with LM2596?
    – Indraneel
    56 mins ago












  • For a given design based on a PWM IC the manufacture often specifies core material or a part number that you can search with. There a many toroid manufactures all over the world.
    – Sparky256
    46 mins ago










  • Well, the LM2596 datasheet says ferrite E core or ferrite bobbin or powdered iron toroid. So, is this because the peak current is already too high for ferrite cores without an air gap?
    – Indraneel
    37 mins ago










  • I added some more to my answer.
    – Sparky256
    13 mins ago
















3














There is a color standard for painted toroids, and yellow means it has hysteresis to prevent saturation and is meant for filter inductors. But a side effect is that it has very low permeability. Black ferrite is usually a good choice for transformers. Blue is an expensive Permalloy that is more efficient than ferrite. Green is low frequency filters made with silicon steel tape wrapped to form a toroid.



This chart is generic as it is not including fine details such as permeability, and does not state if iron, steel, ferrite or permalloy, which is a nickel-iron alloy.



PC power supplies can put out over 1,000 watts and they use E cores as they are easy to wind by machine, and can have a cross section large enough to handle as much as 10 ampere/turns, and a tiny 10 mil air gap helps a lot. Large toroids need expensive winding machine heads so toroids are better used at low voltages were the number of windings is low, such as car stereo power supplies.



NOTE: Sometimes practical reasons determine what material and shape of transformer are used, which is not always the best choice. Cost and size compete with efficiency. The opinions of engineering and marketing and sales are not the same, and who wins determines what is used. "Just good enough" wins most of the time.



enter image description here






share|improve this answer























  • And what about the unpainted black ferrites? That's the cheapest one at my place. One can also see them inside CFL lamps. I already know they work at low currents very well with a MC34063, and also as jewel thief. But how about 3A buck converter with LM2596?
    – Indraneel
    56 mins ago












  • For a given design based on a PWM IC the manufacture often specifies core material or a part number that you can search with. There a many toroid manufactures all over the world.
    – Sparky256
    46 mins ago










  • Well, the LM2596 datasheet says ferrite E core or ferrite bobbin or powdered iron toroid. So, is this because the peak current is already too high for ferrite cores without an air gap?
    – Indraneel
    37 mins ago










  • I added some more to my answer.
    – Sparky256
    13 mins ago














3












3








3






There is a color standard for painted toroids, and yellow means it has hysteresis to prevent saturation and is meant for filter inductors. But a side effect is that it has very low permeability. Black ferrite is usually a good choice for transformers. Blue is an expensive Permalloy that is more efficient than ferrite. Green is low frequency filters made with silicon steel tape wrapped to form a toroid.



This chart is generic as it is not including fine details such as permeability, and does not state if iron, steel, ferrite or permalloy, which is a nickel-iron alloy.



PC power supplies can put out over 1,000 watts and they use E cores as they are easy to wind by machine, and can have a cross section large enough to handle as much as 10 ampere/turns, and a tiny 10 mil air gap helps a lot. Large toroids need expensive winding machine heads so toroids are better used at low voltages were the number of windings is low, such as car stereo power supplies.



NOTE: Sometimes practical reasons determine what material and shape of transformer are used, which is not always the best choice. Cost and size compete with efficiency. The opinions of engineering and marketing and sales are not the same, and who wins determines what is used. "Just good enough" wins most of the time.



enter image description here






share|improve this answer














There is a color standard for painted toroids, and yellow means it has hysteresis to prevent saturation and is meant for filter inductors. But a side effect is that it has very low permeability. Black ferrite is usually a good choice for transformers. Blue is an expensive Permalloy that is more efficient than ferrite. Green is low frequency filters made with silicon steel tape wrapped to form a toroid.



This chart is generic as it is not including fine details such as permeability, and does not state if iron, steel, ferrite or permalloy, which is a nickel-iron alloy.



PC power supplies can put out over 1,000 watts and they use E cores as they are easy to wind by machine, and can have a cross section large enough to handle as much as 10 ampere/turns, and a tiny 10 mil air gap helps a lot. Large toroids need expensive winding machine heads so toroids are better used at low voltages were the number of windings is low, such as car stereo power supplies.



NOTE: Sometimes practical reasons determine what material and shape of transformer are used, which is not always the best choice. Cost and size compete with efficiency. The opinions of engineering and marketing and sales are not the same, and who wins determines what is used. "Just good enough" wins most of the time.



enter image description here







share|improve this answer














share|improve this answer



share|improve this answer








edited 14 mins ago

























answered 58 mins ago









Sparky256Sparky256

11.2k21635




11.2k21635












  • And what about the unpainted black ferrites? That's the cheapest one at my place. One can also see them inside CFL lamps. I already know they work at low currents very well with a MC34063, and also as jewel thief. But how about 3A buck converter with LM2596?
    – Indraneel
    56 mins ago












  • For a given design based on a PWM IC the manufacture often specifies core material or a part number that you can search with. There a many toroid manufactures all over the world.
    – Sparky256
    46 mins ago










  • Well, the LM2596 datasheet says ferrite E core or ferrite bobbin or powdered iron toroid. So, is this because the peak current is already too high for ferrite cores without an air gap?
    – Indraneel
    37 mins ago










  • I added some more to my answer.
    – Sparky256
    13 mins ago


















  • And what about the unpainted black ferrites? That's the cheapest one at my place. One can also see them inside CFL lamps. I already know they work at low currents very well with a MC34063, and also as jewel thief. But how about 3A buck converter with LM2596?
    – Indraneel
    56 mins ago












  • For a given design based on a PWM IC the manufacture often specifies core material or a part number that you can search with. There a many toroid manufactures all over the world.
    – Sparky256
    46 mins ago










  • Well, the LM2596 datasheet says ferrite E core or ferrite bobbin or powdered iron toroid. So, is this because the peak current is already too high for ferrite cores without an air gap?
    – Indraneel
    37 mins ago










  • I added some more to my answer.
    – Sparky256
    13 mins ago
















And what about the unpainted black ferrites? That's the cheapest one at my place. One can also see them inside CFL lamps. I already know they work at low currents very well with a MC34063, and also as jewel thief. But how about 3A buck converter with LM2596?
– Indraneel
56 mins ago






And what about the unpainted black ferrites? That's the cheapest one at my place. One can also see them inside CFL lamps. I already know they work at low currents very well with a MC34063, and also as jewel thief. But how about 3A buck converter with LM2596?
– Indraneel
56 mins ago














For a given design based on a PWM IC the manufacture often specifies core material or a part number that you can search with. There a many toroid manufactures all over the world.
– Sparky256
46 mins ago




For a given design based on a PWM IC the manufacture often specifies core material or a part number that you can search with. There a many toroid manufactures all over the world.
– Sparky256
46 mins ago












Well, the LM2596 datasheet says ferrite E core or ferrite bobbin or powdered iron toroid. So, is this because the peak current is already too high for ferrite cores without an air gap?
– Indraneel
37 mins ago




Well, the LM2596 datasheet says ferrite E core or ferrite bobbin or powdered iron toroid. So, is this because the peak current is already too high for ferrite cores without an air gap?
– Indraneel
37 mins ago












I added some more to my answer.
– Sparky256
13 mins ago




I added some more to my answer.
– Sparky256
13 mins ago













1














Powdered Iron is Cheap and more forgiving when it comes to saturation due to the more gradual BH curves . There is a down side when for Buck and most other DC/DC convertors . The inductor ripple current will cause more core losses in the powdered iron than in most ferrites . It is quite normal to have AC ripple currents at about 33% of the max DC load current . So on an orthodox hard-switched peak current mode switching regime which most easy to buy chips are specified to do you will get lower efficiency on powdered iron . When I run powdered iron I set up for very low ripple currents to make core losses very low.






share|improve this answer



















  • 1




    I corrected your grammar. Normally there is a space after a period. +1 for the peak current statement.
    – Sparky256
    7 mins ago
















1














Powdered Iron is Cheap and more forgiving when it comes to saturation due to the more gradual BH curves . There is a down side when for Buck and most other DC/DC convertors . The inductor ripple current will cause more core losses in the powdered iron than in most ferrites . It is quite normal to have AC ripple currents at about 33% of the max DC load current . So on an orthodox hard-switched peak current mode switching regime which most easy to buy chips are specified to do you will get lower efficiency on powdered iron . When I run powdered iron I set up for very low ripple currents to make core losses very low.






share|improve this answer



















  • 1




    I corrected your grammar. Normally there is a space after a period. +1 for the peak current statement.
    – Sparky256
    7 mins ago














1












1








1






Powdered Iron is Cheap and more forgiving when it comes to saturation due to the more gradual BH curves . There is a down side when for Buck and most other DC/DC convertors . The inductor ripple current will cause more core losses in the powdered iron than in most ferrites . It is quite normal to have AC ripple currents at about 33% of the max DC load current . So on an orthodox hard-switched peak current mode switching regime which most easy to buy chips are specified to do you will get lower efficiency on powdered iron . When I run powdered iron I set up for very low ripple currents to make core losses very low.






share|improve this answer














Powdered Iron is Cheap and more forgiving when it comes to saturation due to the more gradual BH curves . There is a down side when for Buck and most other DC/DC convertors . The inductor ripple current will cause more core losses in the powdered iron than in most ferrites . It is quite normal to have AC ripple currents at about 33% of the max DC load current . So on an orthodox hard-switched peak current mode switching regime which most easy to buy chips are specified to do you will get lower efficiency on powdered iron . When I run powdered iron I set up for very low ripple currents to make core losses very low.







share|improve this answer














share|improve this answer



share|improve this answer








edited 8 mins ago









Sparky256

11.2k21635




11.2k21635










answered 17 mins ago









AutisticAutistic

7,31121532




7,31121532








  • 1




    I corrected your grammar. Normally there is a space after a period. +1 for the peak current statement.
    – Sparky256
    7 mins ago














  • 1




    I corrected your grammar. Normally there is a space after a period. +1 for the peak current statement.
    – Sparky256
    7 mins ago








1




1




I corrected your grammar. Normally there is a space after a period. +1 for the peak current statement.
– Sparky256
7 mins ago




I corrected your grammar. Normally there is a space after a period. +1 for the peak current statement.
– Sparky256
7 mins ago


















draft saved

draft discarded




















































Thanks for contributing an answer to Electrical Engineering Stack Exchange!


  • Please be sure to answer the question. Provide details and share your research!

But avoid



  • Asking for help, clarification, or responding to other answers.

  • Making statements based on opinion; back them up with references or personal experience.


Use MathJax to format equations. MathJax reference.


To learn more, see our tips on writing great answers.




draft saved


draft discarded














StackExchange.ready(
function () {
StackExchange.openid.initPostLogin('.new-post-login', 'https%3a%2f%2felectronics.stackexchange.com%2fquestions%2f416370%2fferrite-vs-iron-powder-toroid-for-buck-converter%23new-answer', 'question_page');
}
);

Post as a guest















Required, but never shown





















































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown

































Required, but never shown














Required, but never shown












Required, but never shown







Required, but never shown







Popular posts from this blog

404 Error Contact Form 7 ajax form submitting

How to know if a Active Directory user can login interactively

Refactoring coordinates for Minecraft Pi buildings written in Python