COMPLEX NOS.

PLEASE FIND THE MODULAS AND AMPLITUDE OF ii where i = √-1

5 Answers

66
kaymant ·

You should make it a habit to first search the site if the problems you are going to ask has been already discussed. This question for instance has been discussed a number of times earlier.

Anyway
i^i = (e^{i(2n\pi + \frac{\pi}{2})})^i=e^{i^2(2n\pi + \frac{\pi}{2})}=e^{-(2n\pi + \frac{\pi}{2})}
which is a positive real number. (Here n is an integer)

1
Jagaran Chowdhury ·

i=e^\pi/2 i

i^i=(e^\pi/2 i)^i

=e^\pi/2i^2
e^-\pi /2

arg =0

1
Jagaran Chowdhury ·

is it correct

3
msp ·

no jagaran.Recall the defn of argument

1
Jagaran Chowdhury ·

thanx msp,was really careless didn't notice that there was no i in power

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