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Cylindrical Capacitor

 

Cylindrical Capacitor Formula

\( C \;=\;   \dfrac{ 2 \cdot \pi \cdot \epsilon \cdot L }{ ln \left( \frac{ b }{ a } \right)  }\)     (Cylindrical Capacitor)

\( \epsilon \;=\;   \dfrac{ C \cdot ln \left( \frac{ b }{ a } \right)  }{ 2 \cdot \pi \cdot  L }\)

\( L \;=\;   \dfrac{ C \cdot ln \left( \frac{ b }{ a } \right)  }{ 2 \cdot \pi \cdot  \epsilon }\)

\( b \;=\;  a \cdot \epsilon^{ \left( \dfrac{  2 \cdot \pi \cdot L  }{  C  } \right) }\)

\( a \;=\;   \dfrac{  b  }{  \epsilon^{ \left( \dfrac{  2 \cdot \pi \cdot L  }{  C  } \right) }   }\)

Symbol English Metric
\( C \) = Capacitance - \(s^4-A^2\;/\;kg-m^2\)
\( \pi \) = Pi - \(3.141 592 653 ...\)
\(\epsilon \)  (Greek symbol epsilon) = Permittivity - \(F \;/\; m\)
\( L \) = Capacitor Length - \(mm\)
\( a \) = Capacitor OD - \(mm\)
\( b \) = Capacitor ID - \(mm\)

Cylindrical capacitor is a type of capacitor constructed with two coaxial cylindrical conductors separated by a dielectric material.  Typically, one cylinder is solid or hollow and resides concentrically within a larger hollow cylindrical shellWhen a voltage is applied across these conductors, an electric field forms in the dielectric, allowing the device to store electrical energy.  The cylindrical geometry offers a specific configuration of electric field lines, contributing to efficient energy storage and making these capacitors suitable for applications where space efficiency and substantial capacitance are desired.

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