From e2384de2a9d7c9d5edf0d1aad2dc5532a343aca3 Mon Sep 17 00:00:00 2001 From: arc Date: Sat, 7 Nov 2026 12:09:53 -0700 Subject: [PATCH] vault backup: 2026-11-07 12:09:53 --- .../computer engineering/circuits/components/Capacitors.md | 6 +++++- 1 file changed, 5 insertions(+), 1 deletion(-) diff --git a/education/computer engineering/circuits/components/Capacitors.md b/education/computer engineering/circuits/components/Capacitors.md index cdbcc6f..21a5c93 100644 --- a/education/computer engineering/circuits/components/Capacitors.md +++ b/education/computer engineering/circuits/components/Capacitors.md @@ -1,6 +1,10 @@ A capacitor stores electrical charge. As the charge accumulates on one side of the capacitor, an opposing voltage grows until the voltage between the charged capacitor plate and the input is zero. When the input voltage is removed, the capacitor discharges and current flows out of the charged side of the capacitor, opposing the current that charged it. - # Equations - The current through a capacitor is defined as $I = C \frac{d V}{d t}$ - The voltage across a capacitor is $v(t) = \frac{1}{C} \int_0^t i(\tau) d \tau$ - 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 $v(t) = v_0 e^\frac{t}{R C}$ + - $v_0$ is initial voltage when discharging begins + - \ No newline at end of file