Carbon should only be used in special circumstances, such as for removing medication. For every day purposes, use more sponges or bio media.
So you are saying I'm wasting money replacing the carbon filter on my Penguin BioWheel filters when they start getting clogged?
On an every day basis, basically.. yes. Carbon is still very useful for special occasions, but day-to-day
I could just take it out? What filters out the solid crud then?
The BIO-Wheel is a special case because the bio media (the wheel) is non-replaceable and the only mechanical filtration is a pouch of carbon.
So, yes, you can remove it, but you don't have any mechanical filtration then to take out the crud. Another option would be to wash it: as it is not part of the bio filtration, you should even be able to wash it under the tap. A third option would be to replace it with any other (cheaper?) sponge which will fit and just use that as the mechanical filtration. If you can manage to clean the mechanical filtration in only tank water, that will increase the amount of bacteria your filter holds after using the same sponge for 4-6 weeks.
Do they make filters that don't have carbon in them? Please educate me on this.
Most internal filters do not contain carbon, they may contain a carbon "sponge" which will act as a normal sponge after the carbon is used up.
HOTB filters are very varied... for example yours has only the wheel, no traditional bio media, while mine takes only one sponge which is both the mechanical and bio filtration and a Fluval Edge has ceramic bio media, carbon and sponges!
External filters are usually just a set of baskets which you can fill with whatever you want.. by default, they can come with ceramic media, sponges and even bags of carbon. I generally use them only with ceramic (bio) media in the baskets, sponge pre-filter (to remove the large crud at the start) and filter wool polishing filter (to remove all remaining crud at the end).
Another thing, as far as I am aware (and don't quote me on this), the bacteria which live in a traditional wet filter are not the same bacteria which live in a wet/dry filter.. from what I have heard, one is anaerobic and the other aerobic.