Course title
P26308003
Circuit Theory

 watanabe eiji Click to show questionnaire result at 2019
Course description
After studying AC circuits analysis using complex AC expressions in Electric Circits I and II, students study time and frequency-domain analysis of RLC circuits including the fundamentals of linear dynamical systems theory. First, transient analysis of RLC ciucuits by solving constant-coefficients linear differential equations is given. Second, transient analysis using the Laplace transforms is given, which leads to the concept of circuits functions including driving-point and transfer functions. Students who complete this class get basic concept of signal processing.
Purpose of class
Students can analysis of simple LCR circuits in both transient and steady state.
Goals and objectives
  1. By solving linear differential equations, students can analize transient responses of second-order circuits, which include only one inductor and one capacitor.
  2. By using the Laplace transform, students can analize transient responses of second-order circuits, which include only one inductor and one capacitor..
  3. Students understand the concept of transfer functions.
Language
Japanese
Class schedule

 Class schedule HW assignments (Including preparation and review of the class.) Amount of Time Required
1. Introdcution to circuits and systems:
(a)Considering circuits as systems
(b)Concept of linearity and time-invariance in circuit theory
(c)Static and dynamical systems
(d)Mathematical expressions of circuit elements 		Review the functions of circuit elements and some theories in basic electric circuits studied in Electric Circuits I. 190minutes
2. Transient responses of RC circuits I (step inputs):
Students study evaluation methods for the transient responses of RC circuits to step inputs by solving first-order constant-coefficient linear differential equations. 		Review the Ohm's low, the Kirchhoff's low, linear differential equations. 190minutes
3. Transient responses of RC circuits II (sinusoidal inputs):
Students study evaluation methods for the transient responses of RC circuits to sinusoidal inputs by solving first-order constant-coefficient linear differential equations. 		Review the step responses of RC circuits. 190minutes
4. Transient responses of RLC circuits I (step inputs):
Students study evaluation methods for the transient responses of RLC circuits to step inputs by solving second-order constant-coefficient linear differential equations. 		Review the transient resposes of RC circuits. 190minutes
5. Transient responses of RLC circuits II (sinusoidal inputs):
Students study evaluation methods for the transient responses of RLC circuits to sinusoidal inputs by solving second-order constant-coefficient linear differential equations. 		Review the step responses of RLC circuits. 190minutes
6. Review and exercises Transient responses of RLC circuits:
Students review the transient analysis of ciucuits including R, L and C by solving linear differential equations and do exercises. 		Summarize the transient circuits analysis studied. 190minutes
7. Intermidiate examination of the transient circuit analysis by solving linear differential equations Summarize the transient circuit analysis studied. 190minutes
8. Definition of Laplace transform:

　　ラプラス変換の定義とそれによる線形微分方程式の解法、零状態応答と回路網関数 		演算子法とは何かを調べておく 190minutes
9. Properties of Laplace transform:
ラプラス変換の性質
　　回路のラプラス変数領域表現とラプラス変換の性質 		ラプラス変換の定義について復習しておく。 190minutes
10. Inverse Laplace transform:
ラプラス逆変換
　　ラプラス逆変換の計算法と繰り返し波形のラプラス変換 		ラプラス変換の計算法について復習しておく。 190minutes
11. Applications of Laplace transform to circuits analysis:
ラプラス変換の回路解析への応用
　　微分方程式を経由せずに回路の完全応答を求める 		ラプラス逆変換の計算法について復習しておく。 190minutes
12. ラプラス変換による過渡解析の演習および回路関数の紹介 ラプラス変換による過渡解析の復習を
しておく。 		190minutes
13. 回路関数と安定性解析
　　簡単な波形整形回路の回路関数とその性質、回路の安定の定義と解析法 		回路関数の定義について復習しておく。 190minutes
14. ラプラス変換および回路関数の要点解説と期末試験 講義内容全般について復習しておく。 190minutes
Total. - - 2660minutes
Relationship between 'Goals and Objectives' and 'Course Outcomes'

 演習 中間試験 期末試験 Total.
1. 3% 15% 15% 33%
2. 4% 15% 15% 34%
3. 3% 15% 15% 33%
Total. 10% 45% 45% -
Evaluation method and criteria
期末試験の点数と演習点で評価する（試験90%、演習10%）。すべての演習課題を提出し、中間試験と期末試験がいずれも5割以上の正解率であれば単位取得ができる。
Textbooks and reference materials
渡部英二著　「回路理論』　オーム社
http://www.yw.se.shibaura-it.ac.jp/kairo/ に正誤表があります。
Prerequisites
この科目を理解するためには電気回路IとIIを履修しておく必要がある。また、理解を深めるためには信号解析も同時に履修するのが望ましい。
Office hours and How to contact professors for questions
  • 月曜日12:30〜13:10
Regionally-oriented
Non-regionally-oriented course
Development of social and professional independence
  • Course that cultivates an ability for utilizing knowledge
Active-learning course
More than one class is interactive
Course by professor with work experience
Work experience Work experience and relevance to the course content if applicatable
N/A N/A
Education related SDGs:the Sustainable Development Goals
  • 4.QUALITY EDUCATION
  • 9.INDUSTRY, INNOVATION AND INFRASTRUCTURE
Last modified : Sat Mar 21 12:35:21 JST 2020