I was listening to the news a few days ago during a very bad storm where there were trees falling, trash cans blowing, and power lines falling all over the place. As I have now heard multiple times while watching the news or weather during a storm, they warned people to be careful of downed power lines. They said specifically that people should stay away and call Consumers Energy if they were to see a downed power line. They also mentioned that if you are unfortunate enough to have a power line come down onto your car (or if a downed power line touches your car in any way) you should not leave your car because you are safe within your car, but could die if you try to get out.
This is perfectly true, but not for the reason we are always told. On this occasion, the reporter made no mention of why people should stay in their cars, but it is quite common to hear an incredibly incorrect reason. News/Weather people always tell you to stay in your car, but normally tell you it's because the tires insulate the car from being grounded. This is ridiculous for two different reasons.
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The real reason of why you are safe inside your car when it gets electrified has nothing to do with grounding and everything to do with the nature of electricity and the 3-dimensional shape of your car. Electricity is simply the flow of electrons (negatively charged, subatomic particles) through a material. Materials that easily allow electrons to flow through them are called electrical conductors and things that do not are call resistors (or insulators). You probably learned at least a little about electrical charges and magnets and stuff in elementary and middle school and really, that is all the information you need to understand what goes on with your car. When your car is electrified, what that means is that there are tons of extra electrons just hanging out in the metal frame and body. We learned in middle school that all electrons are negatively charged and that things of the same charge repel each other. From this we can infer that all the electrons now residing in the metal frame and body of your car are all trying to get as far away from each other as possible. Since your car is generally kind of a 3-dimensional hollow oval shape, the best way for the electrons to get away form each other is to line the outside surface of the 3-dimensional oval shape. If the electrons were to line the inside of the oval, they would have to be closer together than if they were on the outside and they don't want to be closer together. Now, obviously your car is not actually an oval, but the principle works exactly the same way for the more complicated shape of your car.
So, when your car gets electrified, all the electrons from the high voltage power line or from the lightning will line the outermost surface of your car because they are all repelling each other. This means that there are no electrons on the inside of your car so that is where you want to stay. If you stay inside your car, you are safe because all the electric charge is on the outside of the car and not near you. If you get out of the car, as soon as you touch the ground, you would provide a path for the electrons on the outside of your car to get to the ground through you. This would be a very bad situation and would most likely kill you.
I would like to reinforce the fact that it is a terrible idea to get out of your car if it has been either touched by a power line or struck by lightning. It is highly unlikely that you would be able to get out of your car safely (i.e. without dying) after it has been electrified. There are a few, very limited situations in which it would be reasonable for someone to try to get out of their car while it electrified. If, for instance, a power line falls on your car while you are stalled on railroad tracks and you can see the train coming, you need to get out. If for some reason you need to get out of your car (need = there is no reasonable chance of living if you don't get out) after it has been electrified, you should get out by jumping and trying not to touch the ground or anything else until you are as far away from the ground as possible. I would recommend trying to get onto the top of your car somehow and jumping hard enough and far enough that you almost certainly hurt yourself badly when you do hit the ground. Even if you jump from your car, there is high likelihood that the electricity will jump to you and then to the ground once you land, so absolutely do not attempt this if you do not need to.