Capacitance: $C = \frac{1.41 \cdot \varepsilon_r \cdot h \cdot D_1}{D_2 - D_1}$ (empirical IPC equation). Measured in pF where dimensions are in inches.
Inductance: $L = 5.08 \cdot h \cdot [\ln(\frac{4h}{d}) + 1]$ (nH, dimensions in inches).
Impedance & Resonance: $Z_0 = \sqrt{\frac{L}{C}}$ and $f_{res} = \frac{1}{2\pi\sqrt{LC}}$
Cross Sectional Area: $A = \pi \cdot (R_{outer}^2 - R_{inner}^2)$ of the plated barrel.
DC Resistance: $R_{dc} = \rho \cdot \frac{h}{A}$ (Copper resistivity $\rho \approx 1.7 \times 10^{-8} \Omega\cdot m$).
Thermal Resistance: $\theta_{JA} = \frac{h}{k \cdot A}$ ($k_{Cu} = 400 W/m\cdot K$).
Max Current: Based on IPC-2152 approximations for inner/outer layers.