Complex number(exponential form)

  • Thread starter Thread starter naspek
  • Start date Start date
  • Tags Tags
    Complex Form
Click For Summary

Homework Help Overview

The discussion revolves around complex numbers, specifically focusing on the exponential form of a complex number and operations involving them. The original poster presents a problem involving the multiplication of a complex number in polar form by the imaginary unit and seeks clarification on the interpretation of the expression.

Discussion Character

  • Conceptual clarification, Mathematical reasoning

Approaches and Questions Raised

  • Participants explore the meaning of the expression "iz" and discuss the need to convert between polar and rectangular forms for proper multiplication. Questions arise about the representation of the imaginary unit in polar form and the conversion of the complex number from polar to rectangular form.

Discussion Status

Participants are actively engaging with the problem, clarifying the interpretation of "iz" and discussing the necessary conversions for multiplication. There is a focus on understanding the forms of the numbers involved, but no consensus has been reached on the specific calculations or outcomes.

Contextual Notes

There is an emphasis on the need for conversions between polar and rectangular forms, which may indicate a lack of familiarity with these representations among participants. The original poster's question about the second part of the problem suggests that the discussion is still ongoing and that further clarification is needed.

naspek
Messages
176
Reaction score
0
Let z = 4e^i(pi/6)
find iz and |e^iz|

what is iz?
is it imaginary part of z?
 
Physics news on Phys.org
No, "iz" is exactly what it looks like: i times z. The difficulty appears to be that z is in polar form while i is in "rectangluar" form. Either write i in polar form or write z in rectangular form. Then multiply.
 
HallsofIvy said:
No, "iz" is exactly what it looks like: i times z. The difficulty appears to be that z is in polar form while i is in "rectangluar" form. Either write i in polar form or write z in rectangular form. Then multiply.

what bout the second part?
 
naspek said:
what bout the second part?
That was what I meant when I said "Either write i in polar form or write z in rectangular form. Then multiply." What is i in polar form? What is z in rectangular form?
 

Similar threads

Show that the real part of a certain complex function is harmonic
  • · Replies 7 ·
Replies
7
Views
3K
Solve this pair of simultaneous equations involving complex numbers
  • · Replies 12 ·
Replies
12
Views
2K
Complex integration is giving the wrong answer by a factor of two
  • · Replies 13 ·
Replies
13
Views
2K
What is the solution to the complex cosine equation without using logarithms?
  • · Replies 7 ·
Replies
7
Views
2K
Do These Functions Qualify as Group Homomorphisms?
  • · Replies 3 ·
Replies
3
Views
2K
Complex trigonometric integral
  • · Replies 5 ·
Replies
5
Views
1K
Complex numbers : quadratic equation
  • · Replies 22 ·
Replies
22
Views
3K
Complex Analysis: Largest set where f(z) is analytic
  • · Replies 3 ·
Replies
3
Views
2K
Integrating dx/(2+sin(x)) using a complex substitution
  • · Replies 7 ·
Replies
7
Views
6K
Integration by residual theorem
  • · Replies 7 ·
Replies
7
Views
2K