Electricity & Magnetism
Capacitors in Series
Equivalent capacitance for series connection.
Variables
C_eqF
Equivalent capacitance
Total capacitance
C₁F
Capacitance 1
First capacitor
C₂F
Capacitance 2
Second capacitor
Derivation
Same charge: V = Q/C₁ + Q/C₂.
Your notes
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Common questions
What is the Capacitors in Series formula?
Capacitors in Series is written frac{1}{Cₑq} = 1/C₁ + 1/C₂ + .... Equivalent capacitance for series connection. It belongs to Electricity & Magnetism, under Capacitance.
What are the units in frac{1}{Cₑq} = 1/C₁ + 1/C₂ + ...?
In SI units, C_eq is equivalent capacitance, measured in A²·s⁴/(kg·m²); C₁ is capacitance 1, measured in A²·s⁴/(kg·m²); C₂ is capacitance 2, measured in A²·s⁴/(kg·m²).
How is the Capacitors in Series formula derived?
Same charge: V = Q/C₁ + Q/C₂. The result is frac{1}{Cₑq} = 1/C₁ + 1/C₂ + ....