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Comments on Laying out Switching Loops on PCB for Minimum Loop Area and Parasitic Inductance

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Laying out Switching Loops on PCB for Minimum Loop Area and Parasitic Inductance

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Important: I know nothing about how to design a PCB or any of the jargon related to PCB designing

I am following a tutorial titled Switching Loop Layout by Prof. Alex Hanson for Texas Instruments to design my PCB.

At 7 minutes and 58 seconds Prof. Hanson mentions the impact of loop-area and loop-depth on parasitic inductance offered by a loop.

Screenshot 1 Image_alt_text

Referring to the drawing enclosed in the green box of screenshot 1:

Area enclosed by the loop = A (the blue hatched section) Depth of the loop = d (thickness of the copper) Then, at 9 minutes and 8 seconds the Prof. mentions another loop formed by folding a copper strip.

Screenshot 2 Image_alt_text

Looking at the copper strip enclosed in the green box in screenshot 2:

Area of the loop = A (area enclosed by the copper strips, in blue) Depth of the loop = d (width of the copper strip) Going by this logic he analyses three loops (one planar loop and two vertical loops).

Screenshot 3 Image_alt_text

Later in the tutorial he explains:

Planar Loop has the minimum depth (~ a few µm) and therefore would produce the highest parasitic inductance. Vertical Loop 1 is on a 2-layer PCB and its depth is the height of the PCB (~ a few mm), therefore, its parasitic inductance would be much lesser than the planar's. Vertical Loop 2 is on a 4-layer PCB and its depth is roughly $\frac{1}{4}$ of vertical loop 1's, therefore its inductance will be smaller than vertical loop 1's (refer screenshot 4 and 5 below).

Screenshot 4 Image_alt_text

Screenshot 5 Image_alt_text

I do not doubt the knowledge of the speaker, however, could it be possible that he jumbled his words and instead of saying vertical loop 1 is better than vertical loop 2, he spoke the opposite? Out of the two vertical loops which will yield a smaller parasitic inductance?

I seek the opinion of the experts.

PS: He has taken the example of solenoids in a crude manner to explain the concept in a general manner. Please do not be harsh about that part.

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Planar Loop has the minimum depth (~ a few µm) and therefore would produce the highest parasitic inductance. Vertical Loop 1 is on a 2-layer PCB and its depth is the height of the PCB (~ a few mm), therefore, its parasitic inductance would be much lesser than the planar's. Vertical Loop 2 is on a 4-layer PCB and its depth is roughly 14 of vertical loop 1's, therefore its inductance will be smaller than vertical loop 1's (refer screenshot 4 and 5 below).

The above appears to be where you are introducing much confusion. For a start, the depth of the planar loop being smaller means less parasitic inductance yet, you appear to be saying it would produce the highest parasitic inductance. This is wrong.

Then you assert that vertical loop 1 (based on a two-layer PCB) would have less inductance. This is also wrong.

Then you say that vertical loop 2 has a depth of 14 times vertical loop 1's depth and clearly this is nonsensical. I think you meant to say 1/4 rather than 14 of course.

The bottom line is that a loop that has a smaller aperture area will have less parasitic inductance compared to one with a bigger aperture. And, the loop with the larger conductor "width" will also have less inductance.

By "width" I'm referring to the width of the PCB trace. What you refer to as depth appears to be at odds with conventional wisdom as portrayed in your second image entitled "screenshot 2". Please stick to conventions.

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1 comment thread

You are a saviour @Andy aka‭. When are you returning to SE? It is not the same in your absence there.... (6 comments)
You are a saviour @Andy aka‭. When are you returning to SE? It is not the same in your absence there....
ankit.kumar‭ wrote 7 months ago · edited 7 months ago

You are a saviour Andy aka‭. When are you returning to SE? It is not the same in your absence there. Please come back.

Umm... Like I mentioned at the beginning of my question, I really do not know anything about PCB layout at all. I posted my question to seek clarity. All I am doing is following the nomenclature mentioned in the tutorial.

As per the video, Depth = Thickness of Copper/Height of Copper

  1. Could you explain why the inductance of the planar loop is not a threat?
  2. You are correct, it is $\frac{1}{4}$. I have rectified it.
  3. By aperture area, in planar loop, do you mean the track area between the components in screenshot 3?
  4. Out of vertical loops 1 and 2, which one will have higher parasitic inductance and why?

I would appreciate it if you can guide me further. Thanks a lot for getting involved in the discussion. You have my gratitude, sincerely.

System‭ wrote 7 months ago

Thread renamed from "You are a saviour Andy aka‭aka. When are you returning to SE? It is not the same in your absence there...." to "You are a saviour Andy aka‭. When are you returning to SE? It is not the same in your absence there...." by ankit.kumar‭

Andy aka‭ wrote 7 months ago

I got suspended from the other place. Regarding what you are asking in comments, read my final paragraph. I don't know what you mean by "threat". I can only give generalizations about parasitic inductance because your images are not clear as to where the "inductor" is and, I don't watch videos and neither should anyone have to watch the video in order to answer your question. Basically smaller aperture area and wider tracks give lower inductance.

ankit.kumar‭ wrote 7 months ago

Come back Andy aka‭ to SE. That's all I want to say. By "threat" I meant relatively higher parasitic inductance in the 1st loop as compared to the other two. I re-read your last 2 paragraphs. It helped me clear the doubt.

Lundin‭ wrote 7 months ago

ankit.kumar‭ Veteran users of SE are rather discussion a final exodus from there due to to bats*** crazy ideas the company keeps spitting out on SO. It really seems like the final nail in the coffin - right now would be the worst of times to try out SE. Personally I'm finally leaving the place, good riddance.

ankit.kumar‭ wrote 7 months ago

Lundin‭ Didn't know you too were active here. Nice to meet you again. BTW, bats*** crazy? Lol. I am sorry, I couldn't control my laugh. I have posted 2 questions here until now and only 1 got answered. And I don't know who has down voted my query 3 times for no reason at all. TBF, I don't see much activity on Codidact.