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education/computer engineering/circuits/components/Capacitors.md
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@@ -5,6 +5,8 @@ A capacitor stores electrical charge. As the charge accumulates on one side of t
- The impedance of a capacitor is $Z = \frac{1}{j \omega C}$ - The impedance of a capacitor is $Z = \frac{1}{j \omega C}$
- A capacitor resists change in voltage - A capacitor resists change in voltage
- Voltage cannot change instantly across a capacitor, but current can. - 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 discharging capacitor is $v(t) = v_0 e^{-\frac{t}{R C}}$
- $v_0$ is initial voltage when discharging begins - $v_0$ 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 $