Thanks Web and FF for the simplified explanations. Regarding reverse polarity though, take your first example, the battery positive wire to light back to battery negative, if the battery was connected backwards than it wouldnt make a diffrrance?
'Making a difference' depends on what is connected in the circuit. Hang in there for the explanation. For simple items such as incandescent bulbs, polarity doesn't actually matter. I.e., if you take an old school landing light from a Cub and connect it to a battery, it will light up whichever way you connect the positive and negative wires. DC electric heaters are the same. There are even a couple of types of motors that will power up just fine despite the wire order.
BUT . . . . Almost all newer design electrical items are going to be polarity sensitive (i.e. positive wire to positive battery terminal. Negative wire to negative terminal). The newer landing lights are LEDs, meaning that the bajillion little light producing elements inside are Light Emitting Diodes. Diodes that produce light. This means that when you swap out an old school incandescent landing light for an LED landing light, you need to figure out which wire is positive and which is negative, and then connect them correctly. Remember that diodes only allow current flow in one direction and block it in the opposite direction. So if the LED light is connected correctly, it will allow current to flow through it and it produces light. If you connect it wrong, then it will block current flow and no light will be produced. In this way, LED lights are kind of self protecting; connect it wrong and it doesn't get damaged.
The problem comes with other designs that use these semiconductors. These may be designed to block current flow during normal operations. Now if you connect the battery incorrectly, even for a moment, suddenly those diodes and/or transistors that are built to stop current flow in one direction will allow current flow, uncontrollably, in the WRONG direction. By the time you hear the spark 'snap' the damage will be done. When that occurs, the current flow is so extreme that it will burn wires and cause smoke. It also causes so much heat inside the semiconductors that they fail.
Remember that one item I called out to troubleshoot on that aircraft was the spike diode on the start relay? When a spike diode is installed correctly, it will block current flow and the circuit doesn't even 'see' it during normal operation. But when the battery was connected backwards, current was allowed to flow through the diode, uncontrolled. No way a spike diode can withstand that much heat. And, when they get replaced, LOTS of them are installed backwards and fail as soon as the master is turned on.
BTW, a 1N4004 diode makes a great spike diode. And cheap.
Web