= 0.58 1/μF
- or transformed
C = 12 / (4 + 2 + 1)
= 1.7 μF
The total charge in the circuit can be calculated with
Q = U C
Q = charge (coulomb, C)
U = electric potential (V)
- or with values
Q = (230 V) (1.7 10 -6 F)
= 3.91 10 -4 C
= 391 μC
Since the capacitors are connected in series - the charge is 391 μC on each of them.
The voltage across capacitor 1 can be calculated
U 1 = Q / C 1
= (391 μC) / (3 μF)
= 130 V
The voltage across capacitor 2 can be calculated
U 2 = Q / C 2
= (391 μC) / (6 μF)
= 65 V
The voltage across capacitor 3 can be calculated
U 3 = Q / C 3
= (391 μC) / (12 μF)
= 33 V
The capacitance of two coaxial cylinders as indicated in the figure can be calculated as
C = 2 π ε o ε r l / ln(r 2 / r 1 ) (3)
ε o = absolute permittivity, vacuum permittivity (8.85 10 -12 F/m, Farad/m)
ε r = relative permittivity
l = length of cylinders
r 2 = radius of inner cylinder
r 1 = radius of outer cylinder
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Common materials and their relative permittivity.
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