Why are ground pours isolated from each other on the top layer?











up vote
9
down vote

favorite
2












I am reading the application note from TI about the LM3409 evaluation board.
In the board layout (Figure 3) the bottom layer is a single GND pour.



But top layer has also some copper pours which end up being connected to ground, such as the ones at LED-, C5, D1 and C1.



What I don't understand is: why are they all not connected to each other on the top layer, since they are all the same net ?



Top layer of the demo board PCB










share|improve this question




















  • 1




    The pour around LED- is connected to Vo (follow it down, it connects right to Vo coming out of L1), not to GND.
    – mbrig
    Nov 29 at 16:24










  • Can you hilight where you see two ground pours close to each other but not connected?
    – The Photon
    Nov 29 at 17:01















up vote
9
down vote

favorite
2












I am reading the application note from TI about the LM3409 evaluation board.
In the board layout (Figure 3) the bottom layer is a single GND pour.



But top layer has also some copper pours which end up being connected to ground, such as the ones at LED-, C5, D1 and C1.



What I don't understand is: why are they all not connected to each other on the top layer, since they are all the same net ?



Top layer of the demo board PCB










share|improve this question




















  • 1




    The pour around LED- is connected to Vo (follow it down, it connects right to Vo coming out of L1), not to GND.
    – mbrig
    Nov 29 at 16:24










  • Can you hilight where you see two ground pours close to each other but not connected?
    – The Photon
    Nov 29 at 17:01













up vote
9
down vote

favorite
2









up vote
9
down vote

favorite
2






2





I am reading the application note from TI about the LM3409 evaluation board.
In the board layout (Figure 3) the bottom layer is a single GND pour.



But top layer has also some copper pours which end up being connected to ground, such as the ones at LED-, C5, D1 and C1.



What I don't understand is: why are they all not connected to each other on the top layer, since they are all the same net ?



Top layer of the demo board PCB










share|improve this question















I am reading the application note from TI about the LM3409 evaluation board.
In the board layout (Figure 3) the bottom layer is a single GND pour.



But top layer has also some copper pours which end up being connected to ground, such as the ones at LED-, C5, D1 and C1.



What I don't understand is: why are they all not connected to each other on the top layer, since they are all the same net ?



Top layer of the demo board PCB







pcb-design routing copper-pour






share|improve this question















share|improve this question













share|improve this question




share|improve this question








edited Nov 29 at 12:15

























asked Nov 29 at 12:00









Ugo Riboni

1481211




1481211








  • 1




    The pour around LED- is connected to Vo (follow it down, it connects right to Vo coming out of L1), not to GND.
    – mbrig
    Nov 29 at 16:24










  • Can you hilight where you see two ground pours close to each other but not connected?
    – The Photon
    Nov 29 at 17:01














  • 1




    The pour around LED- is connected to Vo (follow it down, it connects right to Vo coming out of L1), not to GND.
    – mbrig
    Nov 29 at 16:24










  • Can you hilight where you see two ground pours close to each other but not connected?
    – The Photon
    Nov 29 at 17:01








1




1




The pour around LED- is connected to Vo (follow it down, it connects right to Vo coming out of L1), not to GND.
– mbrig
Nov 29 at 16:24




The pour around LED- is connected to Vo (follow it down, it connects right to Vo coming out of L1), not to GND.
– mbrig
Nov 29 at 16:24












Can you hilight where you see two ground pours close to each other but not connected?
– The Photon
Nov 29 at 17:01




Can you hilight where you see two ground pours close to each other but not connected?
– The Photon
Nov 29 at 17:01










3 Answers
3






active

oldest

votes

















up vote
14
down vote



accepted










why are they all not connected to each other on the top layer, since they are all the same net ?



Because this is a switching converter. In switching converters very high currents can flow, often these or only very short current pulses. If we "just" connect everything to the ground plane directly it is unclear where these currents actually flow. Yes all is connected but due to resistance of the copper (low but it is always there) and inductance (a wire of 1mm has 1nH inductance, also small but still there) these current peaks can still influence the operation of the circuit.



For example the grounding of the chip must be such that no voltage (or as little as possible) is induced across it otherwise the chip will not have a "clean" ground which will prevent it from regulating the current properly.



So most often a "star ground" scheme is used, read more on that here.



I'm not saying the ground scheme used on this PCB is a star ground but it will be a deliberate choice of the designers to make it like it is. Often the IC's datasheet will also include a recommended PCB layout and that might include a grounding scheme as well.






share|improve this answer




























    up vote
    4
    down vote













    This looks like a power supply circuit.



    The reason for that is a switching supply generates high spikes / transients, and the via (and also copper) acts like a small resistor. To have separate ground on the top layer reduce the impact of high transients into the ground plane by keeping the current where we want it on the top plane, and avoid going to some places we don't want it to flow.



    Basically, it allows to better control of where the current is flowing on the board. If it was a plain plane on the top, it would be difficult to predict where the current would flow, it may flow near sensitive IC causing unwanted effects.






    share|improve this answer




























      up vote
      2
      down vote













      Are you sure the pour at LED- is ground? Since it's a through-hole component I would expect the GND pins to connect to the bottom layer ground pour, and the top layer pour is probably a power net. Therefore connecting the other top pours to each other may not be as practical as you might think.



      I expect this was done to prevent ground loops (a strip of pour on the top layer connected by vias on either end to the bottom ground pour). Keeping point-connections to the primary ground plane/pour is a better practice for PCB routing.






      share|improve this answer

















      • 1




        LED- goes to ground directly, or at least that's what it looks like from the circuit schematic in the same document.
        – Ugo Riboni
        Nov 29 at 12:11








      • 1




        And I know LED- is connected to ground, I'm talking about the PCB design - I don't think the pour around LED- is GND.
        – DerStrom8
        Nov 29 at 12:18






      • 1




        LED- and GND are indeed connected if you check the circuit diagram in the linked appnote.
        – JRE
        Nov 29 at 12:53






      • 2




        @JRE I will say again, I'm not talking about the electrical connection of LED- and GND in the schematic, I am strictly talking about the polygon pour around LED- on the PCB layout. How do we know that the pour on the top layer surrounding LED- is GND, and not, say, VO? In fact, I think the polygon pour around LED- in the PCB layout is actually VO, since it connects to the VO pad of C5
        – DerStrom8
        Nov 29 at 13:23








      • 1




        This is the only correct answer on the page. The pour is the top right is clearly connected to Vo. The ground pours on the top don't have an easy way to connect to each other, so there's no point forcing one when you can just stitch them to the back.
        – mbrig
        Nov 29 at 16:20











      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',
      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%2f409536%2fwhy-are-ground-pours-isolated-from-each-other-on-the-top-layer%23new-answer', 'question_page');
      }
      );

      Post as a guest















      Required, but never shown

























      3 Answers
      3






      active

      oldest

      votes








      3 Answers
      3






      active

      oldest

      votes









      active

      oldest

      votes






      active

      oldest

      votes








      up vote
      14
      down vote



      accepted










      why are they all not connected to each other on the top layer, since they are all the same net ?



      Because this is a switching converter. In switching converters very high currents can flow, often these or only very short current pulses. If we "just" connect everything to the ground plane directly it is unclear where these currents actually flow. Yes all is connected but due to resistance of the copper (low but it is always there) and inductance (a wire of 1mm has 1nH inductance, also small but still there) these current peaks can still influence the operation of the circuit.



      For example the grounding of the chip must be such that no voltage (or as little as possible) is induced across it otherwise the chip will not have a "clean" ground which will prevent it from regulating the current properly.



      So most often a "star ground" scheme is used, read more on that here.



      I'm not saying the ground scheme used on this PCB is a star ground but it will be a deliberate choice of the designers to make it like it is. Often the IC's datasheet will also include a recommended PCB layout and that might include a grounding scheme as well.






      share|improve this answer

























        up vote
        14
        down vote



        accepted










        why are they all not connected to each other on the top layer, since they are all the same net ?



        Because this is a switching converter. In switching converters very high currents can flow, often these or only very short current pulses. If we "just" connect everything to the ground plane directly it is unclear where these currents actually flow. Yes all is connected but due to resistance of the copper (low but it is always there) and inductance (a wire of 1mm has 1nH inductance, also small but still there) these current peaks can still influence the operation of the circuit.



        For example the grounding of the chip must be such that no voltage (or as little as possible) is induced across it otherwise the chip will not have a "clean" ground which will prevent it from regulating the current properly.



        So most often a "star ground" scheme is used, read more on that here.



        I'm not saying the ground scheme used on this PCB is a star ground but it will be a deliberate choice of the designers to make it like it is. Often the IC's datasheet will also include a recommended PCB layout and that might include a grounding scheme as well.






        share|improve this answer























          up vote
          14
          down vote



          accepted







          up vote
          14
          down vote



          accepted






          why are they all not connected to each other on the top layer, since they are all the same net ?



          Because this is a switching converter. In switching converters very high currents can flow, often these or only very short current pulses. If we "just" connect everything to the ground plane directly it is unclear where these currents actually flow. Yes all is connected but due to resistance of the copper (low but it is always there) and inductance (a wire of 1mm has 1nH inductance, also small but still there) these current peaks can still influence the operation of the circuit.



          For example the grounding of the chip must be such that no voltage (or as little as possible) is induced across it otherwise the chip will not have a "clean" ground which will prevent it from regulating the current properly.



          So most often a "star ground" scheme is used, read more on that here.



          I'm not saying the ground scheme used on this PCB is a star ground but it will be a deliberate choice of the designers to make it like it is. Often the IC's datasheet will also include a recommended PCB layout and that might include a grounding scheme as well.






          share|improve this answer












          why are they all not connected to each other on the top layer, since they are all the same net ?



          Because this is a switching converter. In switching converters very high currents can flow, often these or only very short current pulses. If we "just" connect everything to the ground plane directly it is unclear where these currents actually flow. Yes all is connected but due to resistance of the copper (low but it is always there) and inductance (a wire of 1mm has 1nH inductance, also small but still there) these current peaks can still influence the operation of the circuit.



          For example the grounding of the chip must be such that no voltage (or as little as possible) is induced across it otherwise the chip will not have a "clean" ground which will prevent it from regulating the current properly.



          So most often a "star ground" scheme is used, read more on that here.



          I'm not saying the ground scheme used on this PCB is a star ground but it will be a deliberate choice of the designers to make it like it is. Often the IC's datasheet will also include a recommended PCB layout and that might include a grounding scheme as well.







          share|improve this answer












          share|improve this answer



          share|improve this answer










          answered Nov 29 at 12:21









          Bimpelrekkie

          46.3k240103




          46.3k240103
























              up vote
              4
              down vote













              This looks like a power supply circuit.



              The reason for that is a switching supply generates high spikes / transients, and the via (and also copper) acts like a small resistor. To have separate ground on the top layer reduce the impact of high transients into the ground plane by keeping the current where we want it on the top plane, and avoid going to some places we don't want it to flow.



              Basically, it allows to better control of where the current is flowing on the board. If it was a plain plane on the top, it would be difficult to predict where the current would flow, it may flow near sensitive IC causing unwanted effects.






              share|improve this answer

























                up vote
                4
                down vote













                This looks like a power supply circuit.



                The reason for that is a switching supply generates high spikes / transients, and the via (and also copper) acts like a small resistor. To have separate ground on the top layer reduce the impact of high transients into the ground plane by keeping the current where we want it on the top plane, and avoid going to some places we don't want it to flow.



                Basically, it allows to better control of where the current is flowing on the board. If it was a plain plane on the top, it would be difficult to predict where the current would flow, it may flow near sensitive IC causing unwanted effects.






                share|improve this answer























                  up vote
                  4
                  down vote










                  up vote
                  4
                  down vote









                  This looks like a power supply circuit.



                  The reason for that is a switching supply generates high spikes / transients, and the via (and also copper) acts like a small resistor. To have separate ground on the top layer reduce the impact of high transients into the ground plane by keeping the current where we want it on the top plane, and avoid going to some places we don't want it to flow.



                  Basically, it allows to better control of where the current is flowing on the board. If it was a plain plane on the top, it would be difficult to predict where the current would flow, it may flow near sensitive IC causing unwanted effects.






                  share|improve this answer












                  This looks like a power supply circuit.



                  The reason for that is a switching supply generates high spikes / transients, and the via (and also copper) acts like a small resistor. To have separate ground on the top layer reduce the impact of high transients into the ground plane by keeping the current where we want it on the top plane, and avoid going to some places we don't want it to flow.



                  Basically, it allows to better control of where the current is flowing on the board. If it was a plain plane on the top, it would be difficult to predict where the current would flow, it may flow near sensitive IC causing unwanted effects.







                  share|improve this answer












                  share|improve this answer



                  share|improve this answer










                  answered Nov 29 at 12:18









                  Damien

                  1,527214




                  1,527214






















                      up vote
                      2
                      down vote













                      Are you sure the pour at LED- is ground? Since it's a through-hole component I would expect the GND pins to connect to the bottom layer ground pour, and the top layer pour is probably a power net. Therefore connecting the other top pours to each other may not be as practical as you might think.



                      I expect this was done to prevent ground loops (a strip of pour on the top layer connected by vias on either end to the bottom ground pour). Keeping point-connections to the primary ground plane/pour is a better practice for PCB routing.






                      share|improve this answer

















                      • 1




                        LED- goes to ground directly, or at least that's what it looks like from the circuit schematic in the same document.
                        – Ugo Riboni
                        Nov 29 at 12:11








                      • 1




                        And I know LED- is connected to ground, I'm talking about the PCB design - I don't think the pour around LED- is GND.
                        – DerStrom8
                        Nov 29 at 12:18






                      • 1




                        LED- and GND are indeed connected if you check the circuit diagram in the linked appnote.
                        – JRE
                        Nov 29 at 12:53






                      • 2




                        @JRE I will say again, I'm not talking about the electrical connection of LED- and GND in the schematic, I am strictly talking about the polygon pour around LED- on the PCB layout. How do we know that the pour on the top layer surrounding LED- is GND, and not, say, VO? In fact, I think the polygon pour around LED- in the PCB layout is actually VO, since it connects to the VO pad of C5
                        – DerStrom8
                        Nov 29 at 13:23








                      • 1




                        This is the only correct answer on the page. The pour is the top right is clearly connected to Vo. The ground pours on the top don't have an easy way to connect to each other, so there's no point forcing one when you can just stitch them to the back.
                        – mbrig
                        Nov 29 at 16:20















                      up vote
                      2
                      down vote













                      Are you sure the pour at LED- is ground? Since it's a through-hole component I would expect the GND pins to connect to the bottom layer ground pour, and the top layer pour is probably a power net. Therefore connecting the other top pours to each other may not be as practical as you might think.



                      I expect this was done to prevent ground loops (a strip of pour on the top layer connected by vias on either end to the bottom ground pour). Keeping point-connections to the primary ground plane/pour is a better practice for PCB routing.






                      share|improve this answer

















                      • 1




                        LED- goes to ground directly, or at least that's what it looks like from the circuit schematic in the same document.
                        – Ugo Riboni
                        Nov 29 at 12:11








                      • 1




                        And I know LED- is connected to ground, I'm talking about the PCB design - I don't think the pour around LED- is GND.
                        – DerStrom8
                        Nov 29 at 12:18






                      • 1




                        LED- and GND are indeed connected if you check the circuit diagram in the linked appnote.
                        – JRE
                        Nov 29 at 12:53






                      • 2




                        @JRE I will say again, I'm not talking about the electrical connection of LED- and GND in the schematic, I am strictly talking about the polygon pour around LED- on the PCB layout. How do we know that the pour on the top layer surrounding LED- is GND, and not, say, VO? In fact, I think the polygon pour around LED- in the PCB layout is actually VO, since it connects to the VO pad of C5
                        – DerStrom8
                        Nov 29 at 13:23








                      • 1




                        This is the only correct answer on the page. The pour is the top right is clearly connected to Vo. The ground pours on the top don't have an easy way to connect to each other, so there's no point forcing one when you can just stitch them to the back.
                        – mbrig
                        Nov 29 at 16:20













                      up vote
                      2
                      down vote










                      up vote
                      2
                      down vote









                      Are you sure the pour at LED- is ground? Since it's a through-hole component I would expect the GND pins to connect to the bottom layer ground pour, and the top layer pour is probably a power net. Therefore connecting the other top pours to each other may not be as practical as you might think.



                      I expect this was done to prevent ground loops (a strip of pour on the top layer connected by vias on either end to the bottom ground pour). Keeping point-connections to the primary ground plane/pour is a better practice for PCB routing.






                      share|improve this answer












                      Are you sure the pour at LED- is ground? Since it's a through-hole component I would expect the GND pins to connect to the bottom layer ground pour, and the top layer pour is probably a power net. Therefore connecting the other top pours to each other may not be as practical as you might think.



                      I expect this was done to prevent ground loops (a strip of pour on the top layer connected by vias on either end to the bottom ground pour). Keeping point-connections to the primary ground plane/pour is a better practice for PCB routing.







                      share|improve this answer












                      share|improve this answer



                      share|improve this answer










                      answered Nov 29 at 12:06









                      DerStrom8

                      13.5k42757




                      13.5k42757








                      • 1




                        LED- goes to ground directly, or at least that's what it looks like from the circuit schematic in the same document.
                        – Ugo Riboni
                        Nov 29 at 12:11








                      • 1




                        And I know LED- is connected to ground, I'm talking about the PCB design - I don't think the pour around LED- is GND.
                        – DerStrom8
                        Nov 29 at 12:18






                      • 1




                        LED- and GND are indeed connected if you check the circuit diagram in the linked appnote.
                        – JRE
                        Nov 29 at 12:53






                      • 2




                        @JRE I will say again, I'm not talking about the electrical connection of LED- and GND in the schematic, I am strictly talking about the polygon pour around LED- on the PCB layout. How do we know that the pour on the top layer surrounding LED- is GND, and not, say, VO? In fact, I think the polygon pour around LED- in the PCB layout is actually VO, since it connects to the VO pad of C5
                        – DerStrom8
                        Nov 29 at 13:23








                      • 1




                        This is the only correct answer on the page. The pour is the top right is clearly connected to Vo. The ground pours on the top don't have an easy way to connect to each other, so there's no point forcing one when you can just stitch them to the back.
                        – mbrig
                        Nov 29 at 16:20














                      • 1




                        LED- goes to ground directly, or at least that's what it looks like from the circuit schematic in the same document.
                        – Ugo Riboni
                        Nov 29 at 12:11








                      • 1




                        And I know LED- is connected to ground, I'm talking about the PCB design - I don't think the pour around LED- is GND.
                        – DerStrom8
                        Nov 29 at 12:18






                      • 1




                        LED- and GND are indeed connected if you check the circuit diagram in the linked appnote.
                        – JRE
                        Nov 29 at 12:53






                      • 2




                        @JRE I will say again, I'm not talking about the electrical connection of LED- and GND in the schematic, I am strictly talking about the polygon pour around LED- on the PCB layout. How do we know that the pour on the top layer surrounding LED- is GND, and not, say, VO? In fact, I think the polygon pour around LED- in the PCB layout is actually VO, since it connects to the VO pad of C5
                        – DerStrom8
                        Nov 29 at 13:23








                      • 1




                        This is the only correct answer on the page. The pour is the top right is clearly connected to Vo. The ground pours on the top don't have an easy way to connect to each other, so there's no point forcing one when you can just stitch them to the back.
                        – mbrig
                        Nov 29 at 16:20








                      1




                      1




                      LED- goes to ground directly, or at least that's what it looks like from the circuit schematic in the same document.
                      – Ugo Riboni
                      Nov 29 at 12:11






                      LED- goes to ground directly, or at least that's what it looks like from the circuit schematic in the same document.
                      – Ugo Riboni
                      Nov 29 at 12:11






                      1




                      1




                      And I know LED- is connected to ground, I'm talking about the PCB design - I don't think the pour around LED- is GND.
                      – DerStrom8
                      Nov 29 at 12:18




                      And I know LED- is connected to ground, I'm talking about the PCB design - I don't think the pour around LED- is GND.
                      – DerStrom8
                      Nov 29 at 12:18




                      1




                      1




                      LED- and GND are indeed connected if you check the circuit diagram in the linked appnote.
                      – JRE
                      Nov 29 at 12:53




                      LED- and GND are indeed connected if you check the circuit diagram in the linked appnote.
                      – JRE
                      Nov 29 at 12:53




                      2




                      2




                      @JRE I will say again, I'm not talking about the electrical connection of LED- and GND in the schematic, I am strictly talking about the polygon pour around LED- on the PCB layout. How do we know that the pour on the top layer surrounding LED- is GND, and not, say, VO? In fact, I think the polygon pour around LED- in the PCB layout is actually VO, since it connects to the VO pad of C5
                      – DerStrom8
                      Nov 29 at 13:23






                      @JRE I will say again, I'm not talking about the electrical connection of LED- and GND in the schematic, I am strictly talking about the polygon pour around LED- on the PCB layout. How do we know that the pour on the top layer surrounding LED- is GND, and not, say, VO? In fact, I think the polygon pour around LED- in the PCB layout is actually VO, since it connects to the VO pad of C5
                      – DerStrom8
                      Nov 29 at 13:23






                      1




                      1




                      This is the only correct answer on the page. The pour is the top right is clearly connected to Vo. The ground pours on the top don't have an easy way to connect to each other, so there's no point forcing one when you can just stitch them to the back.
                      – mbrig
                      Nov 29 at 16:20




                      This is the only correct answer on the page. The pour is the top right is clearly connected to Vo. The ground pours on the top don't have an easy way to connect to each other, so there's no point forcing one when you can just stitch them to the back.
                      – mbrig
                      Nov 29 at 16:20


















                      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.





                      Some of your past answers have not been well-received, and you're in danger of being blocked from answering.


                      Please pay close attention to the following guidance:


                      • 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.


                      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%2f409536%2fwhy-are-ground-pours-isolated-from-each-other-on-the-top-layer%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

                      mysqli_query(): Empty query in /home/lucindabrummitt/public_html/blog/wp-includes/wp-db.php on line 1924

                      How to change which sound is reproduced for terminal bell?

                      Can I use Tabulator js library in my java Spring + Thymeleaf project?