A community for students.
Here's the question you clicked on:
 0 viewing
TrojanPoem
 one year ago
Z is a complex number, a is a constant. Find the maximum and minimum value of the complex number Z notice that :
TrojanPoem
 one year ago
Z is a complex number, a is a constant. Find the maximum and minimum value of the complex number Z notice that :

This Question is Closed

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0\[\left \frac{ 1 }{ Z } + Z \right = a\]

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0a is not equal to zero

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0It's a complex number , you can assume it's A + Bi

phi
 one year ago
Best ResponseYou've already chosen the best response.1the the max and min of what ?

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0of the complex number Z

phi
 one year ago
Best ResponseYou've already chosen the best response.1how do we define the max of a complex number? do you mean the max magnitude ?

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0You can the maximum of A , B ( A+ Bi ) is the complex number.

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0Yeah, the magnitude

phi
 one year ago
Best ResponseYou've already chosen the best response.1you could write Z= a exp( i x) so Z+1/Z = a exp(ix) + (1/a) exp(ix) and the magnitude squared is  Z+1/Z ^2 = (a exp(ix) + (1/a) exp(ix))(a exp(ix) + (1/a) exp(ix)) which might lead to a solution

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0Hmm, do you mean that e^x ? Never heard of it :(

phi
 one year ago
Best ResponseYou've already chosen the best response.1no. I meant a complex number in polar coords is magnitude * exp( i* theta) btw, I should have used r instead of a, to not confuse the magnitude with the "a" given in your problem.

phi
 one year ago
Best ResponseYou've already chosen the best response.1exp(i theta) means \( e^{i \theta}\)

TrojanPoem
 one year ago
Best ResponseYou've already chosen the best response.0Ok now we ave e^thetai + e^thetai
Ask your own question
Sign UpFind more explanations on OpenStudy
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.