# Electrical circuits 2015-2016 - ELE1071 - 20 ECTS

## On the basis of

The course builds on these mathematical topics: Complex numbers, differentiation, integration, 1st and 2.order differential equations, linear equations in matrix form. The course builds on classical mechanics and especially subject of statics. Physics for Y-way and TRES must be taught before or in parallel with this course. The basis is Newton 1., 2. and 3. law, and those in vector form. Energy and power. Potential and kinetic energy. Electrostatics and electromagnetism are added towards the end of the topic Electrical circuits.

## Expected learning outcomes

After completing the course the student should have an understanding of the basic electrical, electrostatic and electromagnetic properties of fundamental linear circuits. Students will be able to construct simple circuits after specifications.

The student will after the course:
- Know electrical quantities and their measurement units.
- Be able to apply Ohm's law and Kirchhoff's laws for voltage and current.
- Be able to apply complex algebra to calculate on AC circuits.
- Be able to apply node voltage analysis and mesh current analysis to analyze circuits.
- Be able to apply Thevenin and Norton equivalents.
- Be able to apply teh Superposition principle.
- Be able to calculate amplification using an ideal operational amplifier in simple amplifier circuits.
- Be able to perform calculations with an ideal transformer model.
- Be able to to perform calculations on magnetically linked circuits and on mutual inductance.
- Be able to calculate dynamic responses of RL, RC and RLC circuits.
- Be able to calculate the frequency response to simple 1st order passive filters and to draw Bode-plot of this frequency response
- Know Coulombs-, Biot Savarts-, Faradays-, Lenz- and Gauss law.
- Be able to calculate electric fields from point charge, sphere capacitor and coaxial cable.
- Be able to calculate capacitance of a coaxial cable.
- Know electric and magnetic field properties.
- Be able to calculate force on a current carrying conductor.
- Know about dia, para and ferromagnetism

The student will obtain the following skills after the course:
- Construct simple circuits after given specifications, and then build them and make measurmements on them .
- Use computer calculations to solve linear equations.
- Use a computer program for analysis of simple electrical circuits.
- Use instruments like: voltage and current sources, voltmeter, ammeter, multimeter, function generator and oscilloscope.
- Follow safety instructions for laboratory work.
- Report laboratory work in technical reports.

General competence:
- Knowing Norwegian and English terminology for components/quantities and physical units
- Know about some people who were important for the historical development of discipline electricity

## Topic(s)

- Circuit theorems
- Circuit analysis
- Complex arithmetic and phasor diagrams
- Mutual inductance / magnetically linked circuits
- Measurement methods
- Electric fields and field strength
- Coulomb's law
- Electrical forces and work
- Forces on charges in motion
- Forces on conductors with current
- Amperes law
- Gauss law
- Biot Savart law
- Induction: flux and flux density, capacitance
- Capacitance of plate and cylinder capacitors
- Polarization and polarization losses

## Teaching Methods

Lectures
Laboratory work
Net Support Learning
Exercises

Lectures
Lab. exercises
Internet resources
Problem solving
The course is based largely on laboratory work that is practical application of lectured material. Students work on constructing electrical circuits, then assemble them and conduct measurements on them to verify if they work as intended.

The Flex Students (flexible race) must come to campus twice for two days to conduct the laboratory exercises.

## Form(s) of Assessment

Written exam, 3 hours
Written exam, 5 hours

## Form(s) of Assessment (additional text)

• Written Exam for the Electrical Circuit part, 5 hours (counts 75%)
• Written Exam for thePhysics part, 3 hours (counts 25%)
• Each exam must be passed.

Alphabetical Scale, A(best) – F (fail)

## External/internal examiner

Internal examiners do the evaluation and grading of the exams. Next time an external examiner will be used is in 2017

## Re-sit examination

Re-sit for both exams in August 2016

## Examination support

C: Specified printed and hand-written support material is allowed. A specific basic calculator is allowed.

Formula sheets attached to the exam.

## Coursework Requirements

There are 12 to 15 exercises in the course. 3 of the exercises in the fall semester and 4 of the exercises in the spring semester must be submitted according to given deadlines. Approval of these must be given to be allowed to take the exams.
All laboratory exercises are mandatory. In addition 2 laboratory report must be submitted according to given deadlines. Approval of these must be given to be allowed to take the exams.

## Teaching Materials

"Engeneering Circuit Analysis"
by j.David Irwin & Robert M. Nelms
10th edition
Wiley

## Replacement course for

ELE1042 Elektriske kretser