Rectangular Loop Inductance Calculator

Rectangular Loop Inductance Calculator

Calculate the self-inductance \( L \) using: $$ L = \mu_0 \Biggl[ a\ln\!\Bigl(\frac{2a}{r}\Bigr) + b\ln\!\Bigl(\frac{2b}{r}\Bigr) + 2\sqrt{a^2+b^2} – (a+b) \Biggr] $$

* Enter the side lengths \( a \) and \( b \) and the conductor radius \( r \) in millimeters (mm). Values are converted to meters for the calculation.

Step 1: Enter Parameters

e.g., 50 mm

e.g., 30 mm

e.g., 0.5 mm

Formula: $$ L = \mu_0 \Biggl[ a\ln\!\Bigl(\frac{2a}{r}\Bigr) + b\ln\!\Bigl(\frac{2b}{r}\Bigr) + 2\sqrt{a^2+b^2} – (a+b) \Biggr] $$
with \(a\), \(b\), and \(r\) in meters and \(\mu_0 = 4\pi \times 10^{-7}\) H/m.