- #1
NewtonianAlch
- 453
- 0
Homework Statement
Find the image of the circle |z| = 3 in the complex plane under the mapping
a) w = [itex]\frac{6}{z}[/itex]
b) w = [itex]\frac{6}{z}[/itex] + 2i
The Attempt at a Solution
a) w = [itex]\frac{6}{3}[/itex] = 2
So this is a circle in the w-plane of radius 2, centered on the origin?
b) w = [itex]\frac{6}{3}[/itex] + 2i
So this is a line in the w-plane extending from the origin to the point 2 + 2i ?
I'm not entirely sure of how this works, is w an absolute? like |w| = 2?