A "circuit" is any arrangement of "components" (which we will meet later) and conductors (ie., wires) which don't have "loose" ends. That is, they are composed of closed loops which are connected together in various ways. For examples:
In circuits, two (or more) components are said to be in "series" if any electrons which go through the second one must have come from the first. They are said to be in parallel if they provide alternate paths for the electrons to go when starting and coming together again at common points. These notions are related to "graph theory", and can be a little tricky for the uninitiated.
The "topology" of a circuit defines how its various parts are connected (in series and parallel). The reason it is tricky is that it is based on connectivity, and NOT on visual appearance. For instance, the components in these circuit fragments are all in "series":
while these are all in "parallel":
Finally, these are NEITHER in series nor in parallel:
Clearly, this is non-intuitive. So we present some heuristics to help you decypher these puzzles:
To help clarify things (although it may seem at first that we are further muddying them!), take a look at a quicktime animation (42K) of a single circuit(!). Try to separate the appearance of the circuit from how it is connected (its topology); when you can see that all of the frames are the same circuit, you will understand.
The next section is about circuits.
If you have stumbled on this page, and the equations look funny (or you just want to know where you are!), see the College Physics for Students of Biology and Chemistry home page.
©1996, Kenneth R. Koehler. All Rights Reserved. This document may be freely reproduced provided that this copyright notice is included.
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