Originally posted by: Born2bwire
Originally posted by: JohnCU
Originally posted by: BrownTown
Well, I took the 5 seconds needed to look this up on google, and it is infact the skin effect that is protecting you in a car. The charges will repel each other and flow along the surface of the car and then jump to ground. If your car is fiberglass then your screwed, but a metal car *should* be safe, even [theoretically] if you are touching the metal frame.
I did the same, but did you see my argument against the skin effect? You can also find things on google that talk about the car being a faraday cage.
The skin effect is a bit of a misnomer here since it is used in reference to electromagnetic waves. But the skin effect and a Faraday cage are the same thing. When an EM wave strikes a PEC, currents are induced in such a way as to cancel out the EM wave inside the PEC. In the same manner, a Faraday cage in regards to a static field arranges its surface charges to cancel out the static Electric field. But since an ideal Faraday cage is an enclosed PEC shell, it will work on EM waves too. The skin effect deals with the fact that we do not have perfectly electrical conductors. Despite the enormous conductivity of most metals, since they do not behave as PEC's, then an EM wave can penetrate as an evanescent wave into the metal. Skin depth is just a number of merit that describes how far a wave can penetrate into the medium and decrease its amplitude by 1/e.
I do not know if I would model the lightening as an delta function. The currents, yes, but in my mind the electric field would locally be more like a step function. A large potential is built up between the cloud and the ground/car, so a large static E-field arises. Then the charges are dissipated between the cloud and ground through the conducting plasma. So maybe it would be better of thinking like you have a huge voltage potential built up across a cap with its ground lead shorted to a large sink, and then shorting the unconnected lead to the sink with a wire.
Either way, the Fourier transform of a delta function is 1/(2\pi) \int dy e^{ixy}. So we can see that the frequency domain of the delta function is a constant across all frequencies. Which simply means that a delta function is the superposition of all frequencies with equal weights. So if we were to have an EM wave of delta function in the time domain, and it strikes a Faraday cage constructed of reasonable conductivity, then my intuition is that the transmitted signal into the cage would look something like an exponential in the frequency domain, with the maximum at DC and an exponential drop-off to zero as frequency goes up. The drop-off should be very drastic. And since we will only transmit into the cage very very low frequencies, it would be safe to assume that we will not achieve any resonant waves in the cage since the wavelengths of the signals will be far larger than the physical dimensions of our cage.
As for the tires, I do not think that they are really a significant factor. Your car is going to be grounded on a regular basis, when you touch the car to open the door, touch the gas pump to the car to fill it up, etc. In addition, the potential difference for the discharge is very large and really there probably is not going to be a very large potential difference between the ground and the car in comparison to that of the clouds and ground. And I would expect that the resistive properties of the rubber tires would only mean that the currents running through the car will sink to the ground through the air as opposed to the tires. When the lightning strikes the car, the charge distribution will start to equalize between the cloud and the car. And since the car is probably not going to be able to sink much charge and the charge is going to build up on the surface of the metal, then it will quickly gain a very large potential in respect to the ground and allow either the currents to overcome the resisitivity of the tires or the dielectric of the air.