 # Electrostatics and circuit analysis

## Presentation

Programme (detailed contents):

I - Quantities - Units – differential calculus

II - General theorems and laws of DC, AC and Transient

electrical analysis. Methods for solving electrical problems.

III - Vector fields and operators, Gauss law, Gauss theorem, electrostatic potential, Poisson law, insulators, conductors, capacitors.

Organisation:

Quantities - Units - differential calculus.

Case studies for increasingly complex networks.

Method comparisons.

Methods for transient and alternating currents

The lectures will bring the students progressively into the

manipulation of vector fields and then concentrate on

electrostatics. Numerous exercises are implemented.

Main difficulties for students:

- use of mathematical tools.

- Link formalism with applications and real cases

- Feel intuitively electrostatic phenomena

## Objectives

At the end of this module, the student will have understood

and be able to explain (main concepts):

- the difference between units and quantities

- differential calculus methods applied to measurement

accuracy estimations

- use of general theorems to solve transient, DC and AC

electric circuits problems

- microscopic description of electrical phenomena.

- The fundamental basis of vector field theory the operators

The main laws and theorems of electrostatics

-The manipulation of these entities in some usual cases (i.e

capacitors)

The student will be able to:

- Design, test and analyze a simple electric circuit.

- Compute the currents flowing in all branches of an

electrical network.

- Formulate with his own words these concepts and give

precise examples of devices exploiting them.

- Master elementary parameters of electrostatics

- Link mathematical formalism of electrostatics with real

applications

- Gather different concepts; assimilate them for being able

to extract them from their context in order to face nondidactical situations.

## Needed prerequisite

Physics (electricity) and mathematics

## Form of assessment

The evaluation of outcome prior learning is made as a continuous training during the semester. According ot the teaching, the assessment will be different: as a written exam, an oral exam, a record, a written report, peers review...