Laplace Transform Solved Problems: Circuits with Initial Conditions (Part 2)
Автор: henry
Загружено: 2026-01-16
Просмотров: 22
Описание:
In this video, we solve two circuit problems using the Laplace Transform, both involving initial conditions in capacitors and inductors.
The end goal is to help you become comfortable with:
• Modeling initial energy in the s-domain
• Correctly setting up source terms
• Solving for circuit responses using algebra instead of differential equations
• Interpreting the final time-domain response physically
This video builds directly on the earlier Laplace introduction and derivation videos in this playlist.
⏱️ Chapters
Question 1
00:21 – Pre-Solve Analysis
02:32 – Drawing the Circuit in s-Domain
07:02 – Evaluating Vo(s)
14:44 – Simplifying with Partial Fractions for Vo(s)
15:58 – Inverse Laplace to solve for Vo(t)
Question 2
18:04 – Pre-Solve Analysis
19:08 – Drawing the Circuit in s-Domain
22:19 – Evaluating Vo(s)
25:28 – Simplifying with Partial Fractions
27:21 – Inverse Laplace to solve for Vo(t)
📌 Prerequisites:
• Basic Laplace Transform definitions
• s-domain modeling of R, L, and C
• Derivative property of the Laplace Transform
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