Mutual capacitance of collinear cylinders
Find the mutual capacitance between two collinear infinitively long cylinders.
Problem Type:
The plane-parallel problem of electrostatics.
Geometry:
D = 28 mm, R = 6.35 mm.
Given:
Relative permittivity of vacuum ε = 1,
The charge q = 10-9 C.
Problem:
Find the mutual capacitance between two collinear infinitively long cylinders.
The analytical solution is C =  [F/m]
Solution:
Each of the conductor's surfaces is marked as 'floating conductor'. These are isolated conductors with unknown potential. At some point of each conductor's surface the charge is applied. The charge is then redistributed along the conductor surface automatically.
Results:
Equipotential lines and electric field distribution around the collinear cylinders.
The capacitance can be calculated as C = q / (U2 - U1). The measured potential difference is U2-U1 = 50.87 V.
The capacitance is C = 10-9 / 50.87 = 1.966·10-11 [F/m].
|
QuickField |
Theoretical result |
C, pF/m |
19.66 |
19.47 |
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