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arjontBest ResponseYou've already chosen the best response.0
i believe the definition comes from the complex variable plane, where Im is the y axis and x is Re, then magnitude of a unit vector along 1 on Im axis is defined as sqrt(1) I'm not sure if that's correct though, look up complex plane
 one year ago

saloniiigupta95Best ResponseYou've already chosen the best response.0
Is it *i* in place of *j*??? @ketz ... It should be... 'i' is the positive square root of 1...
 one year ago

saloniiigupta95Best ResponseYou've already chosen the best response.0
dw:1362154909600:dw
 one year ago

whpalmer4Best ResponseYou've already chosen the best response.0
Electrical engineers typically use \(j^2 = 1\) instead of \(i^2 = 1\)
 one year ago

XavierBest ResponseYou've already chosen the best response.0
That's how it is defined. j^2 = 1
 one year ago

arjontBest ResponseYou've already chosen the best response.0
a complex number is represented as \[z=x+iy\] where x is the real part and y is the imaginary part. all real numbers R are a subset of complex numbers C, for example number 3 has x=3 and y=0 so that only the real part is left. the definition of i (or j) = sqrt(1) comes from multiplication rule for complex numbers. \[z_1*z_2=(x_1,y_1)(x_2,y_2)=(x_1x_2  y_1y_2,x_1y_2+x_2y_1)\] if z1=(0,1) and z2=(0,1), that is they both only contain imaginary parts, then \[i^2=(0,1)(0,1)=(1,0)=1\] as you can see that after multiplying them out following the formula above we are left with a real part that equals to 1
 one year ago

arjontBest ResponseYou've already chosen the best response.0
as a side note, the reason electrical engineers use j instead of i is because they use i to represent current
 one year ago
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