Formula: Parallel connection of capacitors (total capacitance) Total capacitance Partial capacitances
$$C ~=~ C_1 ~+~ C_2 ~+~ ...~+~ C_n$$
$$C ~=~ C_1 ~+~ C_2 ~+~ ...~+~ C_n$$
Total capacitance
$$ C $$ Unit $$ \mathrm{F} $$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
$$ C_1, C_2, ... , C_n $$ Unit $$ \mathrm{F} $$
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: \[ C ~=~ C_1 + C_2 ~=~ 100 \, \mu\mathrm{F} + 300 \, \mu\mathrm{F} = 400 \, \mu\mathrm{F} \]