In a series LCR circuit, resonance occurs when the inductive reactance equals the capacitive reactance . The resonant angular frequency is defined as $\omega_0 = 1/\sqrt{LC}$ . The resonant frequency ($\nu_0$) is given by $\nu_0 = \frac{1}{2\pi\sqrt{LC}}$ . The inverse of the resonance frequency ($1/\nu_0$) is therefore $2\pi\sqrt{LC}$. Since $2\pi$ is a dimensionless constant , the dimensions of the inverse resonance frequency are equivalent to the dimensions of $\sqrt{LC}$, which represent time [T] .