From 961d403886ec2a3bcd7688239bbdf0ea289feb3a Mon Sep 17 00:00:00 2001 From: arc Date: Sat, 7 Nov 2026 10:54:53 -0700 Subject: [PATCH] vault backup: 2026-11-07 10:54:53 --- .../ECE2290/Ch 7, RL RC Circuits.md | 22 ------------------- .../circuits/units/Untitled.md | 0 2 files changed, 22 deletions(-) delete mode 100644 education/computer engineering/ECE2290/Ch 7, RL RC Circuits.md create mode 100644 education/computer engineering/circuits/units/Untitled.md diff --git a/education/computer engineering/ECE2290/Ch 7, RL RC Circuits.md b/education/computer engineering/ECE2290/Ch 7, RL RC Circuits.md deleted file mode 100644 index b13bb9d..0000000 --- a/education/computer engineering/ECE2290/Ch 7, RL RC Circuits.md +++ /dev/null @@ -1,22 +0,0 @@ - -Given an RL circuit, it starts with an initial condition. - -KVL defines a first order homogeneous ordinary differential equation with constant coefficients: - -$$ - L \frac{di(t)}{dt} + Ri(t) = 0 - \to -L \frac{di(t)}{dt} = -Ri(t) -$$ - -Steps for solving RC natural response circuits: -1. Determine the initial inductor current, $I_0$, by analyzing the circuit for $t < 0$. - - 2. Calculate the time constant, $\tau RC$, where $R$ is the equivalent resistance connected to the capacitor for $t \ge 0$. - -3. Write the equation for the capacitor voltage: -$$ v(t) = V_o ^{e - \frac{t}{\tau}}, t \ge 0 $$ -4. Calculate other quantities of interest using the capacitor voltage - -- The *natural* response of a circuit is where there is an initial condition, but nothing else is driving the circuit. -- The *step* response of a circuit describes the behavior of a circuit when a sudden change is introduced (switch toggled, et cetera) \ No newline at end of file diff --git a/education/computer engineering/circuits/units/Untitled.md b/education/computer engineering/circuits/units/Untitled.md new file mode 100644 index 0000000..e69de29