In that course, our prof said that the first person to use imaginary numbers in electonics was laughed at! His colleagues said "Imaginary? but circuits are Real ... hahahaha!"

So he used the maths to calculate a circuit which looked normal, but would in fact **short-circuit**. He then put the resistors and capacitors together, showed it to his colleagues, and said "Lo! A short-circuit!" They all laughed again.

So he said, "OK, attach a battery then!"

**Phhzzztt!**

They have used imaginary numbers ever since.

]]>Imaginary numbers can be helpful in engineering and engineers use j a lot because I would mean current, so using i would get confusing.

]]>Btw, is there any practical use for imaginary numbers at all?

]]>It doesn't matter what the direction is, it just wants how big it is.

Real and imaginary numbers are plotted at right-angles to each other, so you can use pythagoras.

|Z1| - |Z2| = |9+7j| - |8+3j| = √(9²+7²) - √(8²-3²)

= √130 - √73 ≈ 2.86

Ugly but true.

]]>Z1 = 9+7j

Z2 = 8+3j

find |Z1| - |Z2|

is the answer 19?

did i get the rite answer? Please Help

Lloyd

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