Electrical Impedance
\[\hat Z=R+jX ; j=\sqrt{-1}\]
\(\hat Z=|Z|\ e^{j\arg(Z)}\)
\[Z = \sqrt{R^2+(X_L - X_C)^2}\]
\(X_L=\omega L\) and \(X_C=\frac1 {\omega L}\)
\[Z = \sqrt{R^2+(\omega L-\frac1{{\omega}C}})^2 \]
\[\hat Z=R+jX ; j=\sqrt{-1}\]
\(\hat Z=|Z|\ e^{j\arg(Z)}\)
\[Z = \sqrt{R^2+(X_L - X_C)^2}\]
\(X_L=\omega L\) and \(X_C=\frac1 {\omega L}\)
\[Z = \sqrt{R^2+(\omega L-\frac1{{\omega}C}})^2 \]