  With two minimal models, I study how electrode curvature affects the response
of electrolytes to applied electrostatic potentials. For flat electrodes,
Bazant et al. [Phys. Rev. E. 70, 021506 (2004)] popularized the "RC" timescale
$\lambda_{\textrm{D}} L/D$, with $\lambda_{\textrm{D}}$ being the Debye length,
$2L$ the electrode separation, and $D$ the ionic diffusivity. For thin electric
double layers near concentric spherical and coaxial cylindrical electrodes, I
show here that equivalent circuit models again predict the correct ionic
relaxation timescales. Importantly, these timescales explicitly depend on both
electrode radii, not simply on their difference.
