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Lecture: (B-4) Transient in R-L and R-C network

Circuit & Network Theory

For UG/Diploma student

University Syllabus

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Introduction

  • Name: Shaikh Mohammed Suhel

(Assistant Professor in SCET-Surat)

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  • Qualification: PhD* (Power-

Electronics & Drives, NIT, Surat),

M.Tech (Industrial Electronics, NIT-Surat), Gate, B.E. (Electrical Engineering., VNSGU-Surat).

  • Experience: 12 Years.

* Pursuing

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CH: Transient in R-L and R-C Circuit

  • This Lecture contain
  • Generalized solution of first order non-homogeneous equation
  • Solved Numerical based on first order differential equation
  • Target audience
  • Beneficial for: Undergraduate and diploma student of EE, EC and IC branches for their semester examination. Also helpful for GATE and other competitive exams and Interview.

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  • First order non-homogeneous equation:

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Note to remember

  • Steps follow to solve the example:
  • Draw equivalent circuit for t =0- and calculate voltage or current as per requirement.
  • Draw equivalent circuit for t ≥0 and Apply KVL, KCL or Node voltage analysis.
  • Use generalize solution of first order differential equation.

3) To find out particular solution, or in other words constant ‘K’ use initial condition.

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  • In the network of fig. steady state is reached before switch ‘K’ is closed. At time t=0 switch is closed. Obtain the expression for i(t) for t≥0.

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  • Solution:

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Example-End

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Note to remember

  • The first order differential equation in the form of:

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  • Solution :

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  • Where, x could be voltage or current

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