“It’s not the voltages that cause you to die but amps.” The phrase is nearly as useless like “it’s no longer the weapon that causes your death and it’s not the bullet that kills you, it’s the gun” however it can lead to many misconceptions regarding electricity.
Ohm’s law (V = I + R) informs us that electric potential volts (V) force amps of electricity (I) through an object with a specific resistance (R). Therefore, the two scenarios that are being discussed cannot be the same because they have to be two distinct substances cause harm to (one that has 1,000 ohms and the other one with 0.001 Ohms).
However, you should stay away from high-voltage sources, as they could cause more harm by pushing Amps into your body’s resistivity!
Be aware of the electrical circuit in places in which your body’s resistance to electrical current is low (for instance in the bathtub) since in those circumstances even the smallest voltages (like 120V coming from the outlets in your home) could push enough amps to cause serious harm.
If, however, by the term “damage” you mean heat or the possibility for the fire to start beware of the 1 volt, 1,000 amp scenario. Joule’s first law states that the amount of heat released by the electric current is proportional to the proportion of its square multiplied by resistance. If you calculate it, you’ll discover that the 1000 amp 1 volt scenario produces 1000 percent more energy than the one millivolt, 1 amp.
Edit: Thanks for the feedback, I’m now corrected in the previous paragraph. Despite the fact that the current is 1000 times higher in the first scenario The resistance is one million times less, meaning that I2 R is in fact identical.