When a DC voltage is applied to an RC circuit, the capacitor charges over time. The voltage across the capacitor V_c(t) is described by the following differential equation solution:
V_c(t) = V_s \left(1 - e^{-\frac{t}{RC}}\right)
Click the “Code” button to the right to see the Python script used to model this behavior.
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title: "Transient Circuit Analysis"
jupyter: python3
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html:
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### Introduction to RC Circuits
When a DC voltage is applied to an RC circuit, the capacitor charges over time. The voltage across the capacitor $V_c(t)$ is described by the following differential equation solution:
$$ V_c(t) = V_s \left(1 - e^{-\frac{t}{RC}}\right) $$
### Computational Model
Click the **"Code"** button to the right to see the Python script used to model this behavior.