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Formula Parallel connection of capacitors (total capacitance)

Formula
Formula: Parallel connection of capacitors (total capacitance)

Total capacitance

Unit

It is the total capacitance of all \(n\) capacitors connected in parallel. In a parallel circuit, the capacitances of the capacitors add up.

Capacitance is a characteristic quantity of the capacitor and tells how many charges must be brought onto the capacitor to charge the capacitor to the voltage \( 1 \, \mathrm{V} \).

Partial capacitances

Unit
Capacitances of individual capacitors connected in parallel.

Example: Two capacitors are connected in parallel. They have the values \(C_1 = 100 \, \mu\mathrm{F}\) and \(C_2 = 300 \, \mu\mathrm{F}\). The total capacitance is thus:\[ C ~=~ C_1 + C_2 ~=~ 100 \, \mu\mathrm{F} + 300 \, \mu\mathrm{F} = 400 \, \mu\mathrm{F} \]