Two 4Ω woofers project

So, in a normal three-way design, I should be connecting the woofers as shown in figure D, am I correct?
Yes, with low pass filter of choice / design.

However, what if I go for .5 way configuration, how to implement the .5 ways with "series" connection?
Depends where you cross in the first place whether there's any benefit to cascading the woofers. If it's low (as it ideally should be) < 500Hz or so, unlikely. Cascading only tends to be useful if you're running moderate sized midbass units as woofers & crossing somewhat higher up. You can adapt the approach Dave indicates, but you'd probably be better off rethinking the design concept.
 
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I’ve been trying to calculate the “large choke” of “parallel” configuration for converting the example 3-way speakers; Braun LS200, to 3.5-way by inserting the large choke at the red circle.

The formula in the link is L = Rdriver/(2 x pi x Fbs) where, here, Rdriver = 7.6 Ohms and Fbs = 400 Hz (Baffle width = 11.4”). It yielded L = 3.0 mH.

I think it’s weird and may be incorrect because I usually found the large choke to be larger than Dr1, according to the schematic. Or, probably, my calculation is wrong itself. What do you think about it?

IMG_8525.png
 
I’ve been trying to calculate the “large choke” of “parallel” configuration for converting the example 3-way speakers; Braun LS200, to 3.5-way by inserting the large choke at the red circle.

The formula in the link is L = Rdriver/(2 x pi x Fbs) where, here, Rdriver = 7.6 Ohms and Fbs = 400 Hz (Baffle width = 11.4”). It yielded L = 3.0 mH.

I think it’s weird and may be incorrect because I usually found the large choke to be larger than Dr1, according to the schematic. Or, probably, my calculation is wrong itself. What do you think about it?

View attachment 1321440
Interestingly, inserting a Large Value inductor in the 'red circle' can work well when the woofer it drives is mounted
on the back of the speaker box. This seems to work best when the Large inductor has 2 or 3 ohms of DCR.
This not only stops the impedance dropping as low, but also creates a sort-of 'horn loaded sub'. ( near corner placement )
However, this arrangement is really for an 8ohm Front woofer, and a 4ohm Rear woofer.
If both woofers are 4ohms, you still run into amplifier / impedance issues.
 
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Your comments seem very 'off topic' and also a tad creepy 😕
As noted, they're making a couple of dry OT remarks about moose -specifically the picture I posted.

I still have to wonder about why (assuming forward firing units) you'd bother with a cascaded LP on a pair of 10in. Ideally you wouldn't want to be crossing those above ~ 500Hz anyway, so there doesn't seem a whole lot of point other than spending more money.
 
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I still have to wonder about why (assuming forward firing units) you'd bother with a cascaded LP on a pair of 10in. Ideally you wouldn't want to be crossing those above ~ 500Hz anyway, so there doesn't seem a whole lot of point other than spending more money.
Yes, those 10” woofers were crossed not over 500Hz, but 450 Hz, according to their spec sheet.

The reason why I’d want one of them crossed lower because I found my pair facing a “mid-bass boom” problem when placing them in my new room. And, unfortunately, the placement is restricted, because it’s a living room where I cannot move the speakers elsewhere anymore.

I, thus, recognised that, in car audio, we have a staggered crossovers there to fix the problem, it may work in home audio, even if it’s active vs. passive crossovers.

For the passive, home speakers, the main idea is to retain the upper woofer’s amplitude response and lowering crossover point of the lower woofer, yes, creating a gap between it and midrange. On the other hand, one could view it as eliminating the mid-bass production on one woofer to reduce overall mid-bass output.

I’d love to hear any feedbacks.
 
If you have a problem that is due to location then sometimes your measurement scheme and acoustic solutions need to encompass location as well. I say this in case simple measurement leaves you scratching your head.

Staggered crossovers could conceivably be used to address location based issues.