But du cours
Study of linear electric circuits in quasi-stationary sinusoidal alternating regime.
Acquis d'apprentissage visés
- To know the – relationship of an ideal inductor
- To know the – relationship of a capacitor
- To relate the input and output voltages of an RC circuit
- To relate the input and output voltages of an RL circuit
- To relate the input and output voltages of an RLC circuit
- To define a filter
- To state the assumptions of an ideal operational amplifier (ALI)
- To describe the limitations of an operational amplifier (ALI)
- To relate the input and output voltages of an operational amplifier (ALI) configuration
- To define a Bode diagram
- To plot the Bode diagram for first- and second-order filters
- To interpret a Bode diagram
- To describe the operating principle of a PID controller
Prérequis
- Differential equations
- Knowledge of derivatives and integrals
- Trigonometric functions
- Exponential function
- Ability to graphically represent sinusoidal and exponential functions
- Ability to deduce the function corresponding to a graph
- Complex numbers (for the alternating current/voltage section)
Programme
- Composition of a measurement chain
- Study of circuits in free regime: RC, RL and RLC and their applications
- Study of the ideal integrated linear amplifier (ALI): principles and basic structures (amplifier, summing amplifier, differentiator, comparator, etc.)
- Study of electrical transducers: overview of transducers and their main characteristics
- Study of a measurement chain: constraints and characteristics of a measurement chain; study of the consequences of ALI and transducer imperfections; case studies
- Additional electrical analysis: sinusoidal signals, complex impedances, study of electrical circuits, electrical power and transfer function (application to filtering)
Modalités d'évaluation
2 Written exams (2h/2h) + 1 Lab report
Bibliographie
- Electrokinetics (PCSI, MPSI, PTSI) — Éditions Nathan
- Electronics, electrokinetics — Éditions Hachette
- General electricity — Éditions Dunod
- Analysis of electrical circuits — Charles K. Alexander, Matthew Sadiku
Supports
Slides + tutorial booklets + lab work booklets available on Moodle