Electrical Circuits Laplace Transforms
The free online course the properties of Laplace transform and performing inverse Laplace transforms for circuits.Publisher: NPTEL
CertificationView course modules
In this course, you will learn about a definition of first-order circuits, as well as look at the various ways to excite first-order circuits and the operations of a source-free RL circuit. The definition of the singularity function and the operations of the step-response for an RC circuit will also be covered in this course. Then, the course will teach you the methods to derive the initial and final values for a second-order circuit.
Then, this course will teach you all about the properties and operations of the RLC circuit. Some problems that are related to step-response of RLC circuits, as well as an introduction to the concept and definition of Laplace transform, will also be covered in this course. Lastly, this course will teach you about the properties of the Laplace transform, and how to obtain the inverse Laplace transform of any circuit.
This course is helpful for learners who want to understand the operations and principles of first-order circuits as well as second-order circuits. Learners can also gain an understanding of the applications, properties and uses of the Laplace transform in electrical circuit analysis. Begin this course now to learn about the properties and operations of the RLC circuits and the singularity functions.Start Course Now
First Order and Second Order Circuits
First Order and Second Order Circuits - Learning Outcomes
First Order RC Circuits
First Order RL Circuits
Step Response of RC and RL Circuits
Second Order Response
First Order and Second Order Circuits - Lesson Summary
Laplace Transform and its Application
Laplace transform and its Application - Learning Outcomes
Step Response of Second Order Circuits
Step Response of Parallel RLC Circuits
Definitions of the Laplace Transform
Properties of the Laplace Transform
Inverse Laplace Transform
Laplace transform and its Application - Lesson Summary
Having completed this course, you should be able to:
- Discuss the two ways to excite first-order circuits.
- Explain the operations of source-free RL circuits.
- Discuss the concept of singularity functions, and the step response for the RC circuit.
- Identify an alternate method for finding step response for an RC or RL circuit.
- Explain the concept of second-order circuits, and how to find the initial and final values.
- Identify the properties of the series RLC network.
- Explain the step response for a parallel RLC circuit.
- Discuss the operations and importance of the Laplace transform.
- Explain the properties of the Laplace transformations.
- Identify how to carry out the inverse Laplace transformation.
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