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education/computer engineering/circuits/components/Capacitors.md
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@@ -5,8 +5,10 @@ A capacitor stores electrical charge. As the charge accumulates on one side of t
- The impedance of a capacitor is $Z = \frac{1}{j \omega C}$ - 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 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 - $v_0$ is initial voltage when discharging begins
- $R$ is the total resistance faced by the capacitor - $R$ is the total resistance faced by the capacitor
- $C$ is the capacitance of the circuit - $C$ 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 $1/c = 1/c_1 + 1/c_2$
- $\tau = R C$
education/computer engineering/circuits/components/Inductors.md
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An inductor is a bunch of wires wound in such a way their electromagnetic fields interact. When the current flowing through the coil changes, the time-varying magnetic field induces a voltage that opposes the change in current that created it.