Question A.4: Exponential Form of a Complex Number Express the complex num......

Conversion from polar to exponential forms is based on Equation A.13. Thus, we have

A ∠θ = A × (1 ∠θ ) = Ae^{jθ}         (A.13)
Z = 10∠60° = 10e^{j60°}
The rectangular form can be found by using Equation A.8:

e^{jθ} = \cos(θ) + j \sin(θ)          (A.8)
Z = 10 × (e^{j60°})
= 10 × [\cos(60°) + j \sin(60°)]
= 5 + j8.66
The graphical representation of Z is shown in Figure A.6.