# Magnetic reactance

Magnetic reactance [1][2][3] is the component of complex magnetic impedance of the alternating current circuit, which produces the phase shift between a magnetic current and magnetic tension in the circuit. It is measured in units of ${\displaystyle {\tfrac {1}{\Omega }}}$ and is denoted by ${\displaystyle x}$ (or ${\displaystyle X}$). It may be inductive ${\displaystyle x_{L}=\omega L_{M}}$ or capacitive ${\displaystyle x_{C}={\tfrac {1}{\omega C_{M}}}}$, where ${\displaystyle \omega }$ is the angular frequency of a magnetic current, ${\displaystyle L_{M}}$ is the magnetic inductivity of a circuit, ${\displaystyle C_{M}}$ is the magnetic capacitivity of a circuit. The magnetic reactance of an undeveloped circuit with the inductivity and the capacitivity, which are connected in series, is equal: ${\displaystyle x=x_{L}-x_{C}=\omega L_{M}-{\frac {1}{\omega C_{M}}}}$ . If ${\displaystyle x_{L}=x_{C}}$, then the sum reactance ${\displaystyle x=0}$ and resonance takes place in the circuit. In the general case ${\displaystyle x={\sqrt {z^{2}-r^{2}}}}$. When an energy loss is absent (${\displaystyle r=0}$) ${\displaystyle x=z}$. The angle of the phase shift in a magnetic circuit ${\displaystyle \phi =\arctan {\frac {x}{r}}}$. On a complex plane, the magnetic reactance appears as the side of the resistance triangle for circuit of an alternating current.