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17ABBEM - Electrical Measurements

Code Completion Credits Range Language
17ABBEM Z,ZK 4 2+2
Grading of the course requires grading of the following courses:
Physics II (17ABBFY2)
Jan Vrba (guarantor)
Jan Vrba (guarantor)
Department of Biomedical Technology

Measuring of electric values, principles, using, and parameters. Analogue measuring converters. Electromechanical measuring devices. Current and potential measuring. Frequency and shift phase measuring. Electric work and electric power measuring: direct current, single-phase and three-phase current. Electrical resistance and impedance measuring. Magnetic measuring. Analogue scope. Digitalization, digital signal processing, signal reconstruction. Electronic measuring devices: multimeter, digital scope. Optoelectronic measuring device.


Assessment requirements:

Mandatory attendance at all seminars except one. Long term absence, e.g. due to illness, have to be replaced after agreement with the responsible teacher.

Students have to use a laboratory notebook of A4 format and thoroughly document all laboratory exercises. The laboratory notebook have to be presented to the teacher in the last week of semester.

In the last week of semester one protocol from a single laboratory exercise have to be submitted to teacher. Student can obtain up to 15 points for the protocol.

During the 9th lecture a midterm test takes place. The subject of the midterm test will correspond to the content of previous lectures and exercises. Student can obtain up to 35 points for the midterm test.

Assessment can be granted to students with up to one absence and at least 25 points.

Exam requirements:

Exam consists of written and oral part, both closed book. Written part takes 60 minutes and student can obtain up to 50 points. Oral part is optional and student can obtain -15 to 15 points.

Syllabus of lectures:

1. Introduction to measurements, metrological properties of measuring insturments.

2. Electromechanical (moving-coil, electrodynamic, moving-iron, electromagnetic, induction, vibrational, electrostatic) measuring instruments

3. Measurement error and uncertianity.

4. Analog measuring converters - operational amplifiers, measuring amplifiers, measuring rectifiers. Basic electronic measuring instruments - digital multimeters, connections of operational amplifiers.

5. Measurement of direct current and voltage - standards, selection of measuring instrument and connection into circuits, selection of measuring ranges.

6. Measurements of electric resistance using direct current.

7. Measurements of electric impedances, theory of bridge circuits.

8. Measurements of alternating currents and voltages - standards, selection of measuring instrument and connection into circuits, selection of measuring ranges.

9. Power and energy measurements of direct current, single-phase and three-phase alternating current - measuring techniques and instruments.

10. Frequency and phase shift measurements.

11. Digitalization, digital signal processing and reconstruction of measured signal - signal sampling and samplers, A/D and D/A converters.

12. Multimeters. Analog and digital osciloscopes.

13. Measurement systems - categories, structures, standardized busses. LabVIEW.

14. Magnetic measurements. Exam topics and exampels.

Syllabus of tutorials:

1. Introduction, safety regulations for work in the electro laboratory, laboratory regulations, introduction of measuring devices e.g. power sources, multimeters, oscilloscopes, generators.

2. Theory of next five laboratory problems.

3. Measurement of VA characteristics of semiconductor devices.

4. Verification of measurement accuracy of a measurement device.

5. Methods of measuring electrical resistances using DC current: voltmeter-ammeter method for low and high resistances, series comparison method. Measurement of power.

6. Digital oscilloscopes: Frequency and shift phase measuring.

7. Measurement of frequency dependent transmission and phase shift of an RC circuit.

8. Theory for next five laboratory problems.

9. Measurement of Q-factor and resonant curve of a resonant circuit.

10. Bridge measurements of electrical resistances and impedances.

11. Sampling circuit.

12. Basic circuits with Opamps.

13. Measurement of characteristics of a analog band-pass filter.

14. Relacements for missed exercises. Assessments.

Study Objective:

The goal of this subject is to inform students about measurement of electric values and used measuring instruments and its properties and principles.

Study materials:

[1] Haasz, Sedláček: Electrical Measurements. 1. vydání. Praha: ČVUT,


[2] Sedláček, Haasz: Uncertainties in Electrical Measurement. 1. vydání. Praha: ČVUT, 2004.

The course is a part of the following study plans: