# Illustration Impedance phasor - magnitude and phase angle in the complex plane

Impedance (complex resistance) represented as a phasor $$\boldsymbol{Z}$$ in a complex plane. The complex plane together with the phasor forms a phasor diagram. The horizontal axis forms the real part of $$\boldsymbol{Z}$$ and the vertical axis forms the imaginary part of $$\boldsymbol{Z}$$.
The phasor rotates counterclockwise. Here it is shown at a certain point in time. The phasor has a magnitude $$|\boldsymbol{Z}|$$ which represents the length of the phasor. Also, the phasor includes a phase angle $$\varphi$$ with the real axis.
The magnitude and phase angle uniquely define the phasor:$$\boldsymbol{Z} ~=~ |\boldsymbol{Z}| \, \text{e}^{\text{i}\,\varphi}$$