Yeah I get that, but what’s the application to electromagnetism? I’m an electrician, it’s been a few years since I had to think about induction and capacitance calculations, but I do recall them being based mostly on trigonometry. Where does i come into play, I guess is what I’m asking.
I think the GP is going with complex numbers representing a magnitude and a rotation angle, so that side with length “i” is rotated, and A is an angle of 0°.
But this image is out of order for that. This one would lead to A = 180°. Either way, you can’t use Pythagoras theorem anyway.
Sorry I insta-deleted because I realized I wasn’t answering the question but it looks like it still slipped through.
I wasn’t answering the question because I don’t know. I’m aware that imaginary numbers play a major role in circuit math, but I also need an expert to ELI5.
The “i” terms represent the induction and capacitance of a system, while the real component represents the resistance. You can think of “i” terms as the characteristics that hold energy in some way (in mechanical terms, something springy or something with inertia).
Use the Pythagorean theorem: the length of the hypotenuse is equal to the sum of the squares for the other two sides. 1x1=1. ixi=-1. 1+(-1)=0.
Yeah I get that, but what’s the application to electromagnetism? I’m an electrician, it’s been a few years since I had to think about induction and capacitance calculations, but I do recall them being based mostly on trigonometry. Where does i come into play, I guess is what I’m asking.
I think the GP is going with complex numbers representing a magnitude and a rotation angle, so that side with length “i” is rotated, and A is an angle of 0°.
But this image is out of order for that. This one would lead to A = 180°. Either way, you can’t use Pythagoras theorem anyway.
Sorry I insta-deleted because I realized I wasn’t answering the question but it looks like it still slipped through.
I wasn’t answering the question because I don’t know. I’m aware that imaginary numbers play a major role in circuit math, but I also need an expert to ELI5.
The “i” terms represent the induction and capacitance of a system, while the real component represents the resistance. You can think of “i” terms as the characteristics that hold energy in some way (in mechanical terms, something springy or something with inertia).