See the first photo. Your car battery may be in good condition, but the starter still barely cranks the engine. The problem could be corrosion at one or both of the battery terminals. Sometimes you will see white or blue powder around the terminals, but often the corrosion is not visible. The photo shows an old-style battery terminal. If your car (or motorcycle or riding lawnmower) has this type of terminal, see the text boxes for where to place the voltmeter probes. Set the voltmeter to a DC setting slightly in excess of 12 volts. Have a helper turn the key to crank the engine. If the battery connections are good, the voltmeter reading should remain at zero (0). If the battery connections are corroded, they will provide a high resistance, perhaps even an open circuit, and current will try to go through the voltmeter as an alternate route. The voltmeter reads the difference in voltage between one probe and the other. That means the voltmeter will show a reading equal to the voltage of the battery. Clean or replace the battery terminal by taking it apart, dissolving the corrosion with baking soda in water, and scraping the parts of the connection. If you use your multi-meter just once for this, you will have saved enough money to pay for it.
See the text boxes in the second photo. The newer side post battery terminals are now more common than the old-style shown in the first photo. Much of the terminal is covered with insulation. One meter probe touches the terminal's bare metal bolt. The other probe can touch a straight pin pushed through the cable's insulation.
(The first photo is from Bing Images.)
Depending on the current going through a circuit... it may only take a tiny film to provide enough resistance to cause a problem... in some circuits the addition of as little as 1K ohm is enough to cause a failure.
Jerry
http://en.wikipedia.org/wiki/Electronics_Technicians_Association
I have been down that road myself, and what you describe is definitely a commonly occurring problem.
Of significance is also the metals used for the battery and clamp and the nature of the corrosion causing discoloration that would be visible. Further, if the film is so slight that it can't even be seen, the abrasive action of taking the clamped connector off and putting it back on alone would have cleaned it sufficiently for a light load like lights.
You wrote "1K Ohm" as being a small resistance, but between a battery terminal and the clamped connector where you cannot even see any corrosion, you will not find even three orders of magnitude lower resistance... less than 1 ohm.
As for dissimilar circuits and different connectors, I do agree in those circumstances a contact can be fouled by corrosion or other contaminants and cause a problem without it being visible, particularly logic circuits where you end up with a capacitive junction.
With enough (a visible level) corrosion, you could measure 1 Mohm, but it would not be a "fully functional battery clamp/post" anymore. The key to the battery post and connector is that when you tighten it down, the areas where mechanical stress occur are the primary current path. If there are air gaps elsewhere, you'd have corrosion sooner in that area but should measure where the connector friction scrubs away the surface layer on the contact point.
With car batteries it is pretty rare for corrosion to cause problems without being plainly visible. There is a reason the terminals are typically made out of lead and not a better conductor like copper.
Depending on the circuit you have... 1K ohm can make a huge difference. Let's look at an LED running on 12 volts.
An LED uses 2.2 volts and takes 20mA... or 0.020 amps. (typical)
So you take 12v and subtract 2.2 volts... that leaves 9.8 volts that needs to be dissipated. Okay... 9.8 volts divided by 0.02 amps is 490 ohms. Now... add 1K of resistance from corrosion... 1,490 ohms total.
9.8volts / 1,490 = 0.0065 amps... or 6.5 mA. That is a WHOLE lot less current than the LED expects... so it barely glows if at all. Now imagine a microprocessor that is connected to an input via an optocoupler... and the LED above is the one for the optocoupler... see the issue?
Jerry
I was referring to 1 milliohm, not 1 Megaohm.
After carefully tracing volt drops, I discovered substantial corrosion on the engine block where the battery ground cable terminal bolted to it.
Just cleaned and greased, and no more problem. Thinking about it, two different metals, plus a bit of moisture and a current, is a beautiful recipe for corrosion.
I always grease or oil nuts and bolts and electrical connectors when reassembling things, particularly on my car, both for preventing corrosion and ease of extraction the next time.