How would that work? A (good) fuse is a dead short, should be no voltage drop across it at all?
Actually, fuses have a very small voltage drop across them WHEN a current is flowing through them. This is because they do have a resistance ( though it is very low ).
Most automobile fuses actually have two small spots where you can apply a millivolt meter to look at this voltage drop.
The problem can be that sometimes some systems go to sleep and awake every once in a while for only a brief time. If that is the case looking for voltage drop ( actually millivolts drop or rarely even lower such as microvolts drop ) across a fuse when a current is flowing can be hard to find because there are a lot of fuses and if you are only looking at each one for a brief time and the circuit is sleeping when you look across its fuse, then you will not see anything.
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Another good diagnostic tool is divide and conquer. Simply remove half the fuses and let the vehicle sit and see if the problem goes away. If it does then the problem is in a circuit related to the fuses removed. If it does not the problem is related to a circuit that still had fuses. Then divide the offending fuses again and again until you narrow it down to one. This is a very slow process and it requires patience. But if you can not find the problem any other way, it is a troubleshooting process that almost always works. (How to you eat an elephant? One bite at a time.)
But be aware there are some circuits that are not fused. Such as the output of the alternator, and the starter.
Sometimes one or more of the output diodes of an alternator will go electrically leaky and conduct a small amount of current in the reverse direction. Usually this happens when someone abuses the alternator by jumpstarting a dead vehicle with the good vehicle running. The alternator of the good vehicle may put out too much current and damage one or more output diodes of its alternator. Usually this does not show up until that vehicle sits for several days. If the vehicle is used every day, it may not show up for years until sometime the vehicle is allowed to sit for several days.
Before doing any of this, now-days a good first step is to go onto an internet forum dedicated specifically only to that make and model of vehicle and post the year, and model, and even the trim level, and ask if there are any common reasons others have had this same problem.