Got Homework?
Connect with other students for help. It's a free community.
Here's the question you clicked on:
 0 viewing

This Question is Closed

arjont Group TitleBest 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

saloniiigupta95 Group TitleBest 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

ketz Group TitleBest ResponseYou've already chosen the best response.0
yes j instead of i...
 one year ago

saloniiigupta95 Group TitleBest ResponseYou've already chosen the best response.0
dw:1362154909600:dw
 one year ago

whpalmer4 Group TitleBest ResponseYou've already chosen the best response.0
Electrical engineers typically use \(j^2 = 1\) instead of \(i^2 = 1\)
 one year ago

wio Group TitleBest ResponseYou've already chosen the best response.0
It's just the definition.
 one year ago

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

arjont Group TitleBest 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

arjont Group TitleBest 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
See more questions >>>
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.