Leak resistance across a spherical cell, two ways

The same calculation run twice, side by side. Change anything on either side and the difference is shown output by output. This page is a link: both sets of numbers are in the address bar.

Side A open alone

a Inner sphere diameter

The inner electrode's outside diameter.

b Outer sphere diameter

The outer electrode's inside diameter.

σ Water conductivity

µS/cm

What a conductivity meter reads.

Side B open alone

a Inner sphere diameter

The inner electrode's outside diameter.

b Outer sphere diameter

The outer electrode's inside diameter.

σ Water conductivity

µS/cm

What a conductivity meter reads.

Swap sides

What changed

The two sides are the same. Change something on either.

Output	A	B	B against A
R Leak resistance	8.355 kΩ	8.355 kΩ	same

Side A, with its numbers

8.355 kΩ = \frac{1}{2 π \cdot 5 µS/cm} (\frac{1}{1} - \frac{1}{3})

LaTeX

8.355\,\mathrm{kΩ} = \frac{1}{2\pi \cdot 5\,\mathrm{µS/cm}} \left( \frac{1}{1\,\mathrm{in}} - \frac{1}{3\,\mathrm{in}} \right)

Side B, with its numbers

8.355 kΩ = \frac{1}{2 π \cdot 5 µS/cm} (\frac{1}{1} - \frac{1}{3})

LaTeX

8.355\,\mathrm{kΩ} = \frac{1}{2\pi \cdot 5\,\mathrm{µS/cm}} \left( \frac{1}{1\,\mathrm{in}} - \frac{1}{3\,\mathrm{in}} \right)