Question

Find the modulus and amplitude of the complex number z=1+i and henke represent them in figure diagram

Answer 1

Explanation:

Given:

z=1+i

compare with x+iy

x=1 y=1

modulus=|z|= in square root x^2+y^2

= 1^+1^

=1+1

=2

= in square root 2

argument =tan^-1 y/x

=tan^-1 1/1

= tan^-1 1

tan= 45