Vibrations and Waves · Problem 1-4

The superposition of periodic motions — A.P. French

Physics — Waves · complex-exponential

Problem

(a) If

z = Ae^{j\theta}

, deduce that

dz = jz\, d\theta

, and explain the meaning of this relation in a vector diagram. (b) Find the magnitudes and directions of the vectors

(2 + j\sqrt{3})

and

(2 - j\sqrt{3})^2