Permittivity of a metal-loaded fluid, 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

w Water

The host fluid. Sets the permittivity at 20 °C.

T Temperature

°C

The water's temperature. Its permittivity falls about 0.4 % per degree of warming.

φ Metal loading

The metal's share of the volume.

Side B open alone

w Water

The host fluid. Sets the permittivity at 20 °C.

T Temperature

°C

The water's temperature. Its permittivity falls about 0.4 % per degree of warming.

φ Metal loading

The metal's share of the volume.

Swap sides

What changed

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

Output	A	B	B against A
ε Effective permittivity	92.75	92.75	same
k Enhancement	1.158	1.158	same

Side A, with its numbers

92.75 = 80.1 \frac{1 + 2 5 %}{1 - 5 %}

LaTeX

92.75 = 80.1 \cdot \frac{1 + 2 \cdot 5\,\mathrm{%}}{1 - 5\,\mathrm{%}}

Side B, with its numbers

92.75 = 80.1 \frac{1 + 2 5 %}{1 - 5 %}

LaTeX

92.75 = 80.1 \cdot \frac{1 + 2 \cdot 5\,\mathrm{%}}{1 - 5\,\mathrm{%}}