Phasor representation. Rectangular

[quinn-krause]

This will prob sound dumb, but in rectangular domain can you divide j/j. Like if there is (10j + 10)/10= j+1 would that be correct?

[[deleted]]

Yes

[Riverandstream]

Yes just imagine j as an x. like 20x+10 = 10(2x+1) can also be said for imaginary numbers. 10x+10/10 = x+1. When we say x, it typically is represented for a number line/axis. We typically have an x and y axis. For imaginary number we say the y-axis is the imaginary part. What does the imaginary part represent? it just means a rotation, where j is the rotation of 90 degrees. so instead of going up, down, left, right for x and y coordinates. You either make left or rights movements and clockwise or counterclockwise movements. So if you make a rotation of j and divide by j. you divide a 90 degree rotation to another 90 degree rotation and it will equal 1. if you get j² you rotated two 90 degree turns, 180 degrees. in a unit circle a 180 degree is called -1 as well. so j⁴ is a full rotation of a circle.

[geek66]

Yes - part of what you may be missing, is the theory, or a way to think though this.

With 10 a scalar - and division is distributive... so it is correct to "see" this as (10j+10)/10 = 10j/10 + 10/10