From 2e5cebc3b2b02f9483ede751a7eafc90891c2617 Mon Sep 17 00:00:00 2001 From: arc Date: Sat, 7 Nov 2026 12:04:53 -0700 Subject: [PATCH] vault backup: 2026-11-07 12:04:53 --- .../computer engineering/circuits/components/Capacitors.md | 7 ++++++- 1 file changed, 6 insertions(+), 1 deletion(-) diff --git a/education/computer engineering/circuits/components/Capacitors.md b/education/computer engineering/circuits/components/Capacitors.md index 5c01ed1..cdbcc6f 100644 --- a/education/computer engineering/circuits/components/Capacitors.md +++ b/education/computer engineering/circuits/components/Capacitors.md @@ -1 +1,6 @@ -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. \ No newline at end of file +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 $Z = \frac{1}{j \omega C}$