ELI5: Explain Like I'm 5

S-plane

The s-plane is like a big map where we can find all the possible places things could be in a certain situation. It's kind of like a giant game board where we can play with different scenarios and see what might happen.

In some games, we might play with things like chess pieces or toy cars, but in the s-plane, we play with something called "complex numbers." These are numbers that have two parts - kind of like a pair of glasses with two lenses.

One lens is called the "real" part, and it's like the regular numbers we use every day. The other lens is called the "imaginary" part, and it's kind of like a secret hidden number that we need to learn how to use.

When we put these two parts of the complex number together, we can find a point on the s-plane. This point will tell us where our thing is in our game, and we can use it to figure out what might happen in different situations.

The s-plane is a really useful tool for lots of grown-up things, like figuring out how electrical circuits might work or how to design a bridge that won't break. But even though it might seem complicated, it's really just a way to play and have fun with numbers and see what might happen in different situations.