What is the angle of a complex number with a coefficient of i?

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Homework Help Overview

The discussion revolves around determining the angle of complex numbers, specifically focusing on two expressions: A=2exp[-ikz] and B=2iexp[-ikz]. The original poster expresses uncertainty about how the presence of the coefficient 'i' in B affects its angle.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • The original poster attempts to relate the angles of the complex numbers to their exponential forms, noting that the angle of A is -kz. They question how to approach the angle of B, particularly the role of the coefficient 'i'. Some participants suggest exploring the relationship between 'i' and its exponential representation.

Discussion Status

The discussion is ongoing, with participants providing hints and exploring the implications of the coefficient 'i' in the context of complex numbers. There is an exchange of ideas regarding the exponential form of 'i' and its effect on the angle, but no consensus has been reached yet.

Contextual Notes

Participants mention that 'k' and 'z' are arbitrary variables in the problem, which may influence the interpretation of the angles being discussed.

roz77
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I have two complex numbers, let's call them A and B. A=2exp[-ikz], and B=2iexp[-ikz]. I have to figure out the angle of these two numbers, and I am just completely drawing a blank on B. I know that the angle of A is just -kz, but I can't remember how to figure it out for part B. I can't remember what that i in front does.
 
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hi roz77! :smile:

hint: i = ei(what?) :wink:
 
k and z are just random variables that were in the problem. I know that when its exp[ikz], the angle is kz, but I'm not sure when it's iexp[ikz].
 
no, i mean solve i = ei(something) :smile:
 
<br /> i=e^{\frac{\pi i}{2}}<br />
 

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