From cd4ca2217eccc1bf7d3dfb624979fb1d2a956662 Mon Sep 17 00:00:00 2001 From: arc Date: Sat, 7 Nov 2026 12:19:53 -0700 Subject: [PATCH] vault backup: 2026-11-07 12:19:53 --- .../computer engineering/circuits/components/Capacitors.md | 6 ++++-- .../computer engineering/circuits/components/Inductors.md | 1 + 2 files changed, 5 insertions(+), 2 deletions(-) diff --git a/education/computer engineering/circuits/components/Capacitors.md b/education/computer engineering/circuits/components/Capacitors.md index 404e7d0..c06ae9b 100644 --- a/education/computer engineering/circuits/components/Capacitors.md +++ b/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 $ \ No newline at end of file +- Capacitors in parallel add, and capacitors in series inverse-add $1/c = 1/c_1 + 1/c_2$ +- $\tau = R C$ diff --git a/education/computer engineering/circuits/components/Inductors.md b/education/computer engineering/circuits/components/Inductors.md index e69de29..e6a3de8 100644 --- a/education/computer engineering/circuits/components/Inductors.md +++ b/education/computer engineering/circuits/components/Inductors.md @@ -0,0 +1 @@ +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. \ No newline at end of file