Capacitance of spherical capacitor¶
A spherical capacitor is composed of two concentric spheres with the space between them filled with a dielectric medium. See Figure.
Links:
- capacitance¶
capacitance
of the capacitor.- Symbol:
C
- Latex:
\(C\)
- Dimension:
capacitance
- absolute_permittivity¶
absolute_permittivity
of the medium between the spheres.- Symbol:
epsilon
- Latex:
\(\varepsilon\)
- Dimension:
capacitance/length
- inner_radius¶
Radius of the inner sphere. See
distance_to_origin
.- Symbol:
r_in
- Latex:
\(r_\text{in}\)
- Dimension:
length
- outer_radius¶
Radius of the outer sphere. See
distance_to_origin
.- Symbol:
r_out
- Latex:
\(r_\text{out}\)
- Dimension:
length
- law¶
C = 4 * pi * epsilon * r_in * r_out / (r_out - r_in)
- Latex:
- \[C = \frac{4 \pi \varepsilon r_\text{in} r_\text{out}}{r_\text{out} - r_\text{in}}\]