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17ABBEM - Electrical Measurements

Code Completion Credits Range Language
17ABBEM Z,ZK 4 2P+2L English
The course 17ABBEM can be graded only after the course 17ABBFY2 has been successfully completed.
In order to register for the course 17ABBPNK, the student must have successfully completed the course 17ABBEM.
The course 17ABBSEL can be graded only after the course 17ABBEM has been successfully completed.
Garant předmětu:
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:

One absence is allowed; in the case of a long-term illness, a replacement exercise must be agreed with the exercise leader.

Keeping a laboratory notebook in A4 format for clear documentation of all laboratory tasks and its approval in the assessment week.

Before the beginning of each laboratory task, each student will have a handwritten preparation for that task in the laboratory notebook. Homework will include a theoretical introduction, wiring diagrams and tables for recording measured data. At the request of the instructor, each student is obliged to submit a laboratory notebook at any time, and the absence of homework in the laboratory diary may be a reason to exclude the student from the laboratory.

Submission of one protocol from laboratory exercises in the required format and its approval. The student will receive up to 15 points for the protocol.

The last 40 minutes of the lecture in the 8th week of the semester will be a semester test, including material included in previous lectures and exercises. The maximum number of points for the semester test is 25 points.

The condition for obtaining the credit is, in addition to the attendance and the notebook, obtaining at least 20 points from the semester.

Exam requirements:

The exam consists of a written part lasting 60 minutes and a voluntary oral part. The content of the exam consists of the content of lectures, including related chapters in the recommended literature, the content of exercises and assigned independent study. It is not allowed to use literature in the exam.

Share of points from exercises and exam in the overall evaluation:

Protocol: maximum 15 points, if submitted in the 13th week, 5 points in case of submission later.

Semester test from the material covered in lectures 1 - 6: 25 points.

The maximum number of points from the written part of the final exam is 60 points. The condition for obtaining the exam is to gain at least 30 points from the written part.

Syllabus of lectures:

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

2. Measurement error and uncertianity.

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

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

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

6. Measurements of electric resistance using direct current.

7. Frequency and phase shift measurements.

8. Magnetic measurements.

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

10. Analog measuring converters - operational amplifiers, measuring amplifiers, measuring rectifiers.

11. Basic electronic measuring instruments - digital multimeters, connections of operational amplifiers.

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

13. Multimeters. Analog and digital osciloscopes.

14. Measurement systems - categories, structures, standardized busses. LabVIEW. 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. Simple connections and settings of measuring instruments for practical illustration of Kirchhoff's laws, Ohm's law and linearity of resistances and nonlinearity of diodes.

3. Measurement uncertainties - examples with respect to available measuring instruments.

4. Measurement of direct and alternating currents and voltages, digital multimeter.

5. Measurement of resistances: substitution method, ohm method for small and large resistances.

6. Power measurement for DC and AC quantities.

7. Digital Oscilloscopes: frequency and phase shift measurement.

8. Measurement of resistance and impedances. Measuring bridges, LC meter, equivalent circuit models.

9. Impedance measurement. Serial RLC circuit.

10. Sampling circuit: measuring the influence of the main capacitance on the parameters of the sampled signal.

11. Automated measurements, measuring systems, LabView: applications in biomedical tasks.

12. Measurement of electrical characteristics of multi-ports.

13. Measurement of VA characteristics of semiconductors.

14. RC cells, measurement of frequency amplitude and phase characteristics.

Study Objective:

The aim of teaching the subject of electrical measurements at FBMI is to acquire the necessary knowledge and skills of measuring electrical quantities and to understand the principles and properties of the most used measuring instruments. The course is aimed at acquiring practical skills for users of measuring instruments and systems, not for their designers. Therefore, the theoretical part devoted to measuring instruments is limited to the most necessary passages needed to understand the principle and function that are necessary for the correct choice of measuring instruments with respect to the required measurement accuracy.

Study materials:

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


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

[3] VRBA, J. Specific guidelines for the development of laboratory protocols for electrical engineering subjects [online]. Czech Republic, Kladno, CTU in Prague [cit. 2019-02-05] Last modification[18-02-2019]. Available at:

[4] VRBA, J. Sample protocol for the subject Electrical Measurements 17ABBEM [online]. Czech Republic, Kladno, CTU in Prague [cit. 2019-02-05] Last modification[18-02-2019].. Available at:

The course is a part of the following study plans:

Lectures - link: 

Record of an online lecture (edited, authorized users only) - Uncertainty of Measurement (Sep 29, 2020):

Exercises - link: