Hiltonizer,
Let’s see if I can cover how this works without sailing over too many heads in the process.
Electro-Magnetic Pulse (EMP) is a short duration, high amplitude electro-magnetic field. The Electric field induced high differential voltages between various points within an electrical system, if this voltage is high enough to break-down the insulation between those points, they conduct current and damage the circuit. The magnetic field induces high currents through conductors, which can cause them to heat-up and damage them or their insulators.
Faraday Cage is a closed conductive system (sphere is ideal, but shape is not critical. The faraday cage works because when an electric field is applied a conductor, it induces a current, this current forces charges (electrons) within the conductor to flow with the electric field. Without a loop for the current to flow though, the current quickly returns to zero and the electric field within the conductor is uniform and equal. If there is a hollow area within the conductor (the inside of the faraday cage) with a uniform and equal electric field surrounding it, there is a uniform and equal electric field within.
When faraday cage is floating (not connected to “ground”) and it is exposed to an EMP, the voltage of the cage tracks the highest field strength its exposed to, effectively recreating that field strength over its entire surface. Anything within the cage is also floating, like a person standing on a ship. If the ocean rises, the ship and the person rise together, and the buoyancy of the boat, is relative to the conductivity of the conductor of the faraday cage.
When a faraday cage is “grounded” and its exposed to an EMP, the voltage of the E-field and the voltage of the ground connection are fighting and the ground connection must carry enough charge to cancel the full voltage difference between the peak field exposure and the “ground” reference it’s grounded to.
If we point this back to a car in a 50kV/m EMP field – the car’s roof is about 1.5m above the surface of the earth (which isn’t ground until you get to material of sufficient conductivity, usually the water table) So, here in New England, there’s usually ground moisture 1-3 meters from the surface, so the E-field exposed to the car is about 175kV above the “ground” that it’s trying to be forced to maintain. Now we have a temporary situation where the car and ground need to equalize, and this will impose a short direction E-field within the car, whose field strength is determined by the resistance of the car body verse the resistance of the “ground” conductor. The lower the resistance of the ground conductor, the higher the temporary field inside the car. The higher the resistance of the ground conductor, the lower the temporary field inside the car. The “floating” car (no ground) effectively has an infinite ground resistance, so has virtually no temporary internal field.
If we go back to that boat example, it’s like having the boat attached to the bottom of the ocean with a spring. When the ocean rises, the spring (conductivity of the ground strap) and the buoyancy of the boat (conductivity of the metal in the car) fight enough other, and how deep the boat ends up depends on which one is stronger.
So, why are faraday cages used for demonstration grounded? The simple answer is safety and easy of demonstration. Most demonstration cages are used for displaying lightning strikes, which require the E-field to break-down the air and the current to flow through the resulting plasma (About 3,000kV/m). If you don’t ground this kind of faraday cage, it works for the first strike, but now you’ve charged the cage and you need an ever-higher e-field (with respect to the earth) to generate new strikes, until the cage is charged far enough above the ground to induce a strike from the cage to ground (much like dragging your socks on a carpet on a dry day and “shocking” yourself, but on a MUCH larger scale) In addition, if you didn’t ground the cage after the demonstration to match its voltage to the ground, anyone touching the cage after the demonstration would provide a lower resistance path than the air, and the cage would discharge through them, injuring or killing them.
I'm sorry if that's still too technical, it's really hard to do this effectively without graphics or being in person to judge when I'm getting too technical and losing someone.