diff --git a/education/computer engineering/ECE2290/Ch 7, RL RC Circuits.md b/education/computer engineering/ECE2290/Ch 7, RL RC Circuits.md index afed4a0..85653b2 100644 --- a/education/computer engineering/ECE2290/Ch 7, RL RC Circuits.md +++ b/education/computer engineering/ECE2290/Ch 7, RL RC Circuits.md @@ -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 \ No newline at end of file + 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 \ No newline at end of file