How do you relate imaginary numbers with phase shift? How to imagine this?

1. How do you find the phase of an imaginary number?
2. How are imaginary numbers used in electricity?
3. How do you explain imaginary numbers?
4. How do you convert magnitude and phase to real and imaginary?

How do you find the phase of an imaginary number?

The angle or phase or argument of the complex number a + bj is the angle, measured in radians, from the point 1 + 0j to a + bj, with counterclockwise denoting positive angle. The angle of a complex number c = a + bj is denoted c: c = arctanb/a.

How are imaginary numbers used in electricity?

Yes, electrical engineers use them as they are a mathematical representation of alternating current. They use 'j' to represent the square root of -1 (unlike mathematicians who use 'i') since in electrical engineering 'i' represents "current".

How do you explain imaginary numbers?

Imaginary numbers are the numbers when squared it gives the negative result. In other words, imaginary numbers are defined as the square root of the negative numbers where it does not have a definite value. It is mostly written in the form of real numbers multiplied by the imaginary unit called “i”.

How do you convert magnitude and phase to real and imaginary?

Conversion between the two notational forms involves simple trigonometry. To convert from polar to rectangular, find the real component by multiplying the polar magnitude by the cosine of the angle, and the imaginary component by multiplying the polar magnitude by the sine of the angle.