vault backup: 2026-08-31 11:07:38

2026-08-31 11:07:38 -06:00
parent 946c8cecca
commit 67d1014707
1 changed files with 8 additions and 2 deletions
@@ -5,8 +5,14 @@ KVL defines a first order homogeneous ordinary differential equation with consta
 $$ 
 	L \frac{di(t)}{dt} + Ri(t) = 0
-	-->
+	\to
 L \frac{di(t)}{dt} = -Ri(t)
 $$
 Steps for solving RC natural response circuits:
 1. Determine the initial inductor current, $I_0$, by analyzing the circuit for $t < 0$.
-The derivative of 
+ 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