Series: Charge is the same on each capacitor. Parallel: Total charge is the sum of charges on each capacitor.

Series: Reciprocal addition is used. Parallel: Capacitances are added directly.

Initially: Current flows freely. Steady State: No current flows; acts as an open circuit.

Charging: Current decreases exponentially. Discharging: Current (magnitude) decreases exponentially, and flows in the opposite direction.

Series: Voltage is split across capacitors. Parallel: Voltage is the same across each capacitor.

Series: Charge is the same on each capacitor ($Q_{total} = Q_1 = Q_2 = Q_3 = ...$) | Parallel: Total charge is the sum of charges on each capacitor ($Q_{total} = Q_1 + Q_2 + Q_3 + ...$)

Series: $\frac{1}{C_{total}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3} + ...$ | Parallel: $C_{total} = C_1 + C_2 + C_3 + ...$

Initial State: Current flows freely, capacitor is uncharged | Steady State: No current flows, capacitor is fully charged and acts as an open circuit.

Series: Voltage is split across each capacitor. | Parallel: Voltage is the same across each capacitor.

Series: Current is the same through each capacitor. | Parallel: Current divides through each capacitor.

Use the reciprocal addition formula: $\frac{1}{C_{total}} = \frac{1}{C_1} + \frac{1}{C_2} + \frac{1}{C_3} + ...$

Add the capacitances directly: $C_{total} = C_1 + C_2 + C_3 + ...$

Initially, current flows freely. As the capacitor charges, the voltage across it increases until it equals the source voltage, at which point current stops flowing.

The capacitor releases its stored charge through the resistor, with the voltage and current decreasing exponentially over time.

The voltage across the capacitor increases over time until it reaches the voltage of the source, after which it remains constant.