vault backup: 2026-11-07 12:19:53

education/computer engineering/circuits/components/Capacitors.md

@@ -5,8 +5,10 @@ A capacitor stores electrical charge. As the charge accumulates on one side of t
 - The impedance of a capacitor is $Z = \frac{1}{j \omega C}$
 - A capacitor resists change in voltage
 - Voltage cannot change instantly across a capacitor, but current can.
-- Voltage across a discharging capacitor is $v(t) = v_0 e^{-\frac{t}{R C}}$
+- Voltage across a charging capacitor: $V_0(1 - e^(-\frac{t}{R C}))$
+- Voltage across a discharging capacitor is $v(t) = V_0 e^{-\frac{t}{R C}}$
 	- $v_0$ is initial voltage when discharging begins
 	- $R$ is the total resistance faced by the capacitor
 	- $C$ is the capacitance of the circuit
-- Capacitors in parallel add, and capacitors in series inverse-add $
+- Capacitors in parallel add, and capacitors in series inverse-add $1/c = 1/c_1 + 1/c_2$
+- $\tau = R C$