R 12 = 1 2 ⋅ π ⋅ σ ⋅ h ⋅ l n ( r 2 r 1 ) {\displaystyle R_{12}={\frac {1}{2\cdot \pi \cdot \sigma \cdot h}}\cdot ln({\frac {r_{2}}{r_{1}}})}
U 12 = R 12 ⋅ I {\displaystyle U_{12}=R_{12}\cdot I}
S ( r ) = I 2 ⋅ π ⋅ r ⋅ h {\displaystyle S_{(r)}={\frac {I}{2\cdot \pi \cdot r\cdot h}}}
S 1 S 2 = σ 1 σ 2 {\displaystyle {\frac {S_{1}}{S_{2}}}={\frac {\sigma _{1}}{\sigma _{2}}}}
S ( r ) = I 4 π r 2 {\displaystyle S_{(r)}={\frac {I}{4\pi r^{2}}}}
U = I 4 π σ ⋅ ( 1 r i − 1 r a ) {\displaystyle U={\frac {I}{4\pi \sigma }}\cdot ({\frac {1}{r_{i}}}-{\frac {1}{r_{a}}})}
R = 1 4 π σ ⋅ ( 1 r i − 1 r a ) {\displaystyle R={\frac {1}{4\pi \sigma }}\cdot ({\frac {1}{r_{i}}}-{\frac {1}{r_{a}}})}
U 12 = Q 4 π ϵ ⋅ ( 1 r 1 − 1 r 2 ) {\displaystyle U_{12}={\frac {Q}{4\pi \epsilon }}\cdot ({\frac {1}{r_{1}}}-{\frac {1}{r_{2}}})}
Q = D ⋅ A {\displaystyle Q=D\cdot A}
Q = D ⋅ 4 π ⋅ R 2 ⋅ {\displaystyle Q=D\cdot 4\pi \cdot R^{2}\cdot }
E d u r c h s c h l a g = U d u r c h s c h l a g d {\displaystyle E_{durchschlag}={\frac {U_{durchschlag}}{d}}}
S = U d u r c h s c h l a g U b e t r i e b {\displaystyle S={\frac {U_{durchschlag}}{U_{betrieb}}}}
D ( r ) = Q 4 π r 1 {\displaystyle D_{(r)}={\frac {Q}{4\pi r^{1}}}}
E ( r ) = Q 4 π ϵ r 2 {\displaystyle E_{(r)}={\frac {Q}{4\pi \epsilon r^{2}}}}
E = U D {\displaystyle E={\frac {U}{D}}}
D = ϵ ⋅ E = ϵ ⋅ A d U {\displaystyle D=\epsilon \cdot E=\epsilon \cdot {\frac {A}{d}}U}
Q = ϵ A d U {\displaystyle Q=\epsilon {\frac {A}{d}}U}
D ( r ) = Q 2 π r l {\displaystyle D_{(r)}={\frac {Q}{2\pi rl}}}
E ( r ) = D ( r ) ϵ = Q 2 π ϵ + l {\displaystyle E_{(r)}={\frac {D_{(r)}}{\epsilon }}={\frac {Q}{2\pi \epsilon +l}}}
U 12 = Q 2 π ϵ l {\displaystyle U_{12}={\frac {Q}{2\pi \epsilon l}}}
D m a x = D r 1 = ϵ r 2 U r 1 ⋅ ( r 2 − r 1 ) {\displaystyle D_{max}=D_{r1}=\epsilon {\frac {r_{2}U}{r_{1}\cdot (r_{2}-r_{1})}}}
Q = D m a x 4 π r 1 2 = 4 π ϵ r 2 r 1 r 2 − r 1 {\displaystyle Q=D_{max}4\pi r_{1}^{2}=4\pi \epsilon {\frac {r_{2}r_{1}}{r_{2}-r_{1}}}}
Q = C ⋅ U = 4 π ϵ r 1 r 2 r 2 − r 1 {\displaystyle Q=C\cdot U={\frac {4\pi \epsilon r_{1}r_{2}}{r_{2}-r_{1}}}}
Q 1 = − Q 2 {\displaystyle Q_{1}=-Q_{2}}
D 1 = D 2 {\displaystyle D_{1}=D_{2}}
ϵ 0 ϵ r 1 E 1 = ϵ 0 ϵ r 2 E 2 {\displaystyle \epsilon _{0}\epsilon _{r1}E_{1}=\epsilon _{0}\epsilon _{r2}E_{2}}