Vojislav Bego Mjerenja U Elektrotehnici Pdf Download -

| Source of Error | Type (Systematic/Random) | Estimated Value | Probability Distribution | Combined Uncertainty | |---|---|---|---|---|

| Old Concept | Modern Equivalent | Why It Still Matters | |---|---|---| | | Automated LCR meters, software‑defined bridges | Understanding bridge balance aids in troubleshooting calibration errors in modern instruments. | | RMS‑responding meters | True‑RMS digital meters, DSP‑based calculations | The distinction between average‑responding and true‑RMS remains crucial when measuring distorted waveforms. | | Manual uncertainty calculation | Automated uncertainty‑analysis tools (e.g., GUM Workbench) | Knowing the underlying math enables correct usage of software and helps detect hidden assumptions. | | Four‑wire (Kelvin) measurement | Kelvin connections in high‑precision source‑measure units (SMUs) | Low‑contact resistance measurement is still vital for sub‑µΩ resistance and precision power‑electronics testing. |

1. Why This Book Matters “ Mjerenja u elektrotehnici ” (Measurements in Electrical Engineering) by Vojislav Bego is one of the most widely used textbooks for undergraduate and graduate courses in instrumentation, measurement techniques, and applied metrology in the former Yugoslav region (Croatia, Serbia, Bosnia‑Herzegovina, Slovenia, Montenegro). First published in the early 1970s and subsequently updated through several editions, the book has become a cornerstone for: vojislav bego mjerenja u elektrotehnici pdf download

Furthermore, many still rely on legacy equipment that operates exactly as described in Bego’s text. Maintenance engineers and calibration technicians benefit from the book’s clear schematics and diagnostic procedures. 5. How to Obtain a Legal PDF Copy Because the book is still under copyright in most jurisdictions, it is important to respect intellectual‑property rights. Below are legitimate avenues to acquire a PDF (or printed) copy:

| Method | Description | Typical Cost / Access | |---|---|---| | | Many university libraries in the Balkans (e.g., University of Zagreb, University of Belgrade) hold physical copies and may provide digitized loan services (e‑PDF) to enrolled students and faculty. | Free for affiliated users; remote access may require VPN login. | | National Library & Digital Repositories | The National and University Library of Croatia (NSK) and the National Library of Serbia have digitisation projects. Their catalogs often allow on‑site PDF download after registration. | Free for citizens; sometimes a small processing fee for remote users. | | Publisher’s Website | The original publisher (e.g., Grafika , Tehnika , or later MIR series) may sell a re‑print PDF or an e‑book version. Look for “e‑book” or “PDF download” options. | €15‑€30, depending on edition. | | Inter‑library Loan (ILL) | If your local library does not own the book, request an ILL. Many libraries can obtain a scanned copy for a short‑term loan. | Usually free, with possible per‑page scanning fees. | | Purchase a Used Print Copy | Websites such as Abebooks , eBay , or regional second‑hand bookstores often list used copies. You can scan the needed chapters for personal study (subject to local fair‑use rules). | €5‑€20, depending on condition. | | Open‑Access Institutional Repositories | Occasionally, authors or their families deposit older editions in university repositories (e.g., Repozitorij of the University of Sarajevo). Search with the exact title and author. | Free, if available. | Tip: When searching online, use the exact Croatian title “Mjerenja u elektrotehnici” and the author’s full name “Vojislav Bego” . Adding the year of the edition (e.g., 1978, 1992, 2005) narrows results. 6. Suggested Supplementary Resources To complement Bego’s classic text and bridge the gap to modern measurement technology, consider the following resources: | Source of Error | Type (Systematic/Random) |

| Resource | Format | Why It Helps | |---|---|---| | | Textbook (2020) | Modern coverage of sensors, data‑acquisition hardware, and software tools. | | NI (National Instruments) LabVIEW Fundamentals | Online courses (free/paid) | Hands‑on experience with digital acquisition, signal processing, and uncertainty analysis. | | IEC 61010‑1 Safety Standard | PDF (purchase from IEC) | Safety requirements for measurement equipment—essential for lab work. | | Metrology Society of Serbia – “Metrology in Electrical Engineering” | Conference proceedings (PDF) | Latest regional research, often includes case studies that reference Bego’s methodology. | | MATLAB/Octave Scripts for Uncertainty Propagation | Open‑source code (GitHub) | Practical implementation of the GUM (Guide to the Expression of Uncertainty in Measurement). | | YouTube Channels – EEVblog, The Signal Path | Video tutorials | Visual demonstration of bridge circuits, true‑RMS measurements, and modern digital meters. | 7. Quick Reference Cheat‑Sheet (Based on Bego) | Quantity | Primary Instrument | Typical Accuracy (Class) | Key Calibration Requirement | |---|---|---|---| | DC Voltage (0‑10 V) | Digital Multimeter (DMM) | 0

| Chapter | Title (Typical) | Core Topics | Representative Laboratory/Exercise | |---|---|---|---| | | Osnove mjerenja (Fundamentals of Measurement) | Units, dimensions, SI system, dimensional analysis, measurement chain, accuracy vs. precision. | Calibration of a simple resistor bridge; determining the scale factor of a voltage divider. | | 2 | Mjerne pogreške i nesigurnost (Measurement Errors & Uncertainty) | Types of errors, error propagation, statistical treatment, confidence levels, Bessel’s correction. | Repeated measurement of a DC voltage source; computing standard deviation and expanded uncertainty. | | 3 | Mjerenje napona (Voltage Measurement) | Voltmeters (analog, digital), potential dividers, high‑impedance buffering, AC voltage measurement, RMS conversion. | Use of a 4‑½‑digit DMM to measure sinusoidal, triangular, and square waveforms; comparing true RMS vs. average‑responding meters. | | 4 | Mjerenje struje (Current Measurement) | Ammeters (shunt, Hall‑effect, current transformers), burden voltage, measurement of high currents, AC vs. DC. | Building a shunt‑based ammeter; verification with a calibrated clamp‑on meter. | | 5 | Otpor i vodljivost (Resistance & Conductance) | Wheatstone bridge, Kelvin double bridge, temperature coefficient of resistance, four‑wire sensing. | Determination of a low‑value resistor (≈10 mΩ) using Kelvin bridge; temperature‑compensated measurement. | | 6 | Indukcijski i kapacitivni mjerni uređaji (Inductive & Capacitive Measuring Instruments) | LCR meters, bridge methods (Hay, Maxwell), dielectric loss, Q‑factor measurement, frequency dependence. | Measuring the capacitance of a high‑Q ceramic capacitor across 1 kHz–1 MHz. | | 7 | Snimanje i obrada signala (Signal Capture & Processing) | Oscilloscopes, sampling theorem, aliasing, anti‑aliasing filters, Fourier analysis, spectrum analyzers. | Capturing a 100 kHz square wave with a 200 MS/s oscilloscope; observing harmonic content. | | 8 | Mjerenje snage (Power Measurement) | Wattmeters (electrodynamic, electronic), true power vs. apparent power, power factor, three‑phase power, harmonic power analysis. | Power measurement on a three‑phase induction motor; calculation of PF and total harmonic distortion (THD). | | 9 | Mjerenje frekvencije i faze (Frequency & Phase Measurement) | Frequency counters, phase meters, vector network analysis, time‑interval measurement, jitter. | Determination of phase shift in an RC low‑pass filter using a dual‑channel oscilloscope. | | 10 | Elektronički senzori i transduktori (Electronic Sensors & Transducers) | Temperature (thermocouples, RTDs), pressure, flow, light, Hall sensors, strain gauges, signal conditioning. | Wheatstone‑bridge strain gauge measurement on a cantilever beam; temperature compensation. | | 11 | Kalibracija i standardi (Calibration & Standards) | Traceability, calibration procedures, uncertainty budgets, use of reference standards, inter‑laboratory comparison. | Calibration of a digital multimeter against a Class 0.5 voltage standard; preparation of an uncertainty budget. | | 12 | Primjene u industriji (Industrial Applications) | Power‑quality monitoring, protective relaying, condition monitoring, non‑destructive testing, remote sensing. | Installation of a power‑quality monitor on a distribution panel; analysis of voltage sags and swells. | | 13 | Noviji trendovi (Contemporary Trends – 1990s edition) | Digital data acquisition, PC‑based measurement, PLC integration, early SCADA, wireless telemetry. | Using a PC‑based DAQ board to log temperature and current data over 24 h and performing statistical analysis. | | Appendices | Matematički alati, tablice, bibliografija | Logarithmic tables, conversion factors, standard resistor/capacitor values, reference literature. | — | | | Four‑wire (Kelvin) measurement | Kelvin connections

| Aspect | What the Book Contributes | |---|---| | | Clear derivation of measurement principles (Ohm’s law, Kirchhoff’s laws, signal theory) from first principles. | | Practical Laboratory Work | Step‑by‑step laboratory exercises, circuit schematics, and measurement tables that can be reproduced on a bench. | | Instrumentation Survey | Comprehensive catalog of analog and early digital measuring instruments (oscilloscopes, bridge circuits, multimeters, wattmeters, etc.). | | Error Analysis | Systematic treatment of systematic vs. random errors, propagation of uncertainty, and statistical methods (least‑squares fitting, confidence intervals). | | Standards & Calibration | Overview of national and international standards (IEC, ISO, ITU) as they were interpreted in the 1970‑1990s, with notes on how they map to current standards. | | Pedagogical Style | Numerous worked examples, end‑of‑chapter problems, and “challenge” questions that encourage deeper thinking. |