Try it yourself:
| @1 |
i
|
|
| @2 |
i * i
|
|
| @3 |
sqrt(-1)
|
i is the imaginary unit, defined by i² = −1. It extends real arithmetic to complex numbers and is fundamental in electrical engineering, waves, and quantum mechanics.
Combine i with real coefficients, then inspect components with re() and im(). Use conj() for complex conjugation and abs() for magnitude.
Do not confuse i with a variable name in expressions where a different symbol has been assigned.
Enter i on a calculator line to see its built-in value, or place the name inside a longer expression. Keep any displayed unit attached when converting or combining physical quantities, and check that every other value uses a compatible dimension.
The example above is editable, so you can replace surrounding values and test the constant in your own formula. Browse all constants to compare related values and notation.