The coulomb’s law states that the electric charge that’s created by a capacitor is proportional to the surface area of the capacitor. A capacitor with a surface area of 1 square inch has an electric charge of 1 coulomb. The same surface area, on the other hand, has a charge of 0.01 coulombs.
It turns out that this law does not hold for the surface area of capacitors with a surface area of 1 square inch. We tested this by taking a 1 inch by 1 inch by 1 inch by 1 inch capacitor and making it 10 times larger, finding that the coulomb we got was still 0.01 coulombs.
In the video, there’s a graph showing how the surface area of a capacitor responds to a charge. It appears that the formula for the coulomb is actually very close. Of course, this has a bunch of implications when it comes to power, and we’re going to have to talk about it at a later date.
For example, we might assume that if the surface area of a capacitor is 1 square inch, that means one coulomb is the same as one ampere. In reality, this is a very loose, guesswork type of idea. There’s no evidence yet that the surface area of a capacitor is always 1 square inch.
I’m not saying how much it’s been a while. I’m just saying it’s still an awfully loose idea.
In reality the surface area of a capacitor is more like… one ampere. But if the surface area of a capacitor is 1 square inch, it would mean that 1 coulomb must equal one ampere which is impossible to believe. The capacitor has been a capacitor a long time and the ampere has been a ampere since the 1800s, so we just have to trust the fact that its not as crazy as it seems.
Another way to understand the limitations of coulomb’s law is to think about air resistance. You can drive a car with a small engine and a small battery, but you will not be able to reach your destination. You can drive a car with a small engine and a full battery, but you will be unable to get anywhere other than the nearest place. You can drive a car with a small engine and a full battery, but you will be unable to run away.
Because air resistance is the same regardless of how big the car is, it is difficult for cars to travel at high speeds. Even if you have a fuel tank and a motor, the engine would have to have a lot of horsepower to get to the other side of the road. This is because the air drag force is proportional to velocity, and that means that as the velocity is increased, the drag force increases as well.
The problem is that the speed limit for cars is not set by laws. It’s set by physics. With a small car, you can drive it at high rates of speed. With a big car, you will not be able to run away. Because the air resistance is the same regardless of how big the car is, it is difficult for cars to travel at high speeds.