Hold on a minute. Before I go any further let me just say that I am being misunderstood.
I have been playing bass for 10 years and am an electrical engineer. I know exactly what a pickup is, what it does, and I know what the active electronics do. I have studied Faraday's Law, the law that describes how a pickup works. I have studied electronics and have actually designed my own active electronics. So please, just hear me out and stop insulting me.
Active pickups consists of a passive pickup and external electronics. It is the external electronics that require power from the 9V battey in order to operate and pass the signal to the amplifier. It does not matter if the electronics are enlcosed within the pickup housing or in the bass body...it is still a magnetic pickup and external electronics, no matter how it is packaged.
When pickups themselves are referred to as active pickups, excluding the electronics, this is where we are having out miscommunication. Mettec, you are saying that your pickups do not work when the battery is dead. If your pickups are anything like what bigd4207 is talking about (preamp circuit inside the pickup housing) then I understand what is going on. The preamp circuit inside the pickup housing needs power to produce an output. It is still the classic passive pickup and external active electronics...just packaged differently. I am guessing that there is no switch to bypass the electronics when the battery is dead. Pretty clever too; this circuitry is most likely just a buffer, so the pickups are not being loaded not matter what electronics are used.
If a pickup by itself, excluding the electronics where-ever they may be, is referred to as active. Meaning that the magnet itself requires power in order to be a magnet, aka an electro-magnet. I have not heard of an electro-magnet being used as a pickup on an electric bass or guitar.
Active/passive has very little to do with the windings.
Actually, when active pickup systems were fairly new, I believe that the pickups had fewer windings. Since the electronics could boost the signal, the pickups did not need to have that much output. Fewer windings meant less output but also more clarity. Also note, I did not say that pickups meant for passive electronics could not be used with active electronics - I just meant that I would be wary of mixing pickups that were meant for different applications.
I hope this clears things up! Please don't attach me anymore, I have nothing to prove here. I have done my research on luthiery and bass constructions, magnetic pickup design and construction, electronics and electrical theory. I don't know everything (I will be the first person to ask questions), but the difference between passive and active pickups I know. So before you tell me I'm wrong or I need to do my research, let's try to understand what the other person is saying. This post is basically a repeat of what I have already said. I am sorry for the misunderstanding.