Radiation resistance for a small square loop (single turn of side length l ) of size λ / 10 is approximately: 1.38 ohms 3.12 ohms 73 ohms 273 ohms Correct Answer Option (2): 3.12 ohms How to Solve This Problem (Fundamental Idea) This is based on the concept of radiation resistance of small loop antennas . A small loop antenna behaves like a magnetic dipole . Fundamental Formula For a small loop antenna (area A , N turns): R r = 31,200 × ( (N A) / λ² )² For a single-turn square loop: N = 1 A = l² l = λ / 10 Step-by-Step Solution Step 1: Area of loop A = l² = (λ / 10)² = λ² / 100 Step 2: Substitute into formula R r = 31,200 × ( (λ² / 100) / λ² )² Step 3: Simplify = 31,200 × (1 / 100)...

The expression given by is: P r = P t × A et · A er r 2 λ 2  (W) Options: Poynting vector for power flow Power gain factor Friis transmission formula Radar received power Correct Answer Option (3): Friis Transmission Formula Explanation The given equation represents the Friis Transmission Formula expressed in terms of the effective apertures of the transmitting and receiving antennas. P r = P t × A et A er r 2 λ 2 Where: P t = Transmitted power P r = Received power A et = Effective aperture of the transmitting antenna A er = Effective aperture of the receiving anten...

  The Free Space Path Loss (FSPL) equation originates from the Friis Transmission Formula : FSPL = (4πd / λ) 2 Since wavelength is related to frequency by: λ = c / f Substituting λ into the FSPL equation: FSPL = (4πdf / c) 2 Converting to decibels: FSPL(dB) = 20 log 10 (d) + 20 log 10 (f) + 20 log 10 (4π / c) Using distance in meters and frequency in hertz: FSPL(dB) = 20 log 10 (d m ) + 20 log 10 (f Hz ) − 147.55 The practical Free Space Path Loss (FSPL) formula commonly uses: Distance in kilometers (km) Frequency in megahertz (MHz) Therefore, the unit conversions are: d m = 1000 × d km f Hz = 10 6 × f MHz Substituting i...

Elliptically Polarized Waves: Benefits, Applications, and Why They Matter in Modern Communication Elliptically Polarized Waves: Benefits, Applications, and Engineering Significance Elliptical polarization is one of the most important concepts in electromagnetics, wireless communication, radar engineering, and optical systems. In fact, most real-world electromagnetic waves become elliptically polarized during propagation due to reflections, scattering, atmospheric effects, and interactions with materials. While linear and circular polarization are commonly discussed, elliptical polarization represents the most general form of wave polarization. Understanding its benefits helps engineers design more reliable communication systems, radar platforms, satellite networks, and optical technologies. What Is an Elliptically Polarized Wave? An electromagnetic wave is said to be elliptically polarized when the tip of its electric field vector traces an el...

Root Mean Square (RMS) vs Average Value: Differences, Formulas, Examples, and Applications Root Mean Square (RMS) vs Average Value: Complete Guide Root Mean Square (RMS) and Average Value are two important mathematical measures used in engineering, statistics, signal processing, and electrical systems. Although both describe a set of values, they provide different insights and are used for different purposes. What is Average Value? The Average Value (Arithmetic Mean) represents the central value of a dataset. It is calculated by adding all values and dividing by the total number of values. Formula Average = (x₁ + x₂ + x₃ + ... + xₙ) / n Example For values: 2, 4, 6, 8 Average = (2 + 4 + 6 + 8) / 4 = 5 Interpretation The average tells us the typical or central value of the dataset. What is Root Mean Square (RMS)? The Root Mean Square (RMS) measures the effective magnitude of values. It gives greater importance to larger values because ea...

AM Power Calculation, DSB-SC, SSB-SC Efficiency and Total Transmitted Power Explained AM Power Calculation, DSB-SC and SSB-SC Efficiency Explained Understanding power distribution in modulation systems is one of the most important topics in communication engineering. This article explains: Carrier Power in AM Sideband Power Calculation Total Transmitted Power AM Transmission Efficiency DSB-SC Efficiency SSB-SC Efficiency Numerical Examples Comparison of AM, DSB-SC and SSB-SC What is an AM Signal? A standard Amplitude Modulated (AM) signal is represented as: s(t) = Ac [1 + m cos(ωm t)] cos(ωc t) Where: Ac = Carrier Amplitude m = Modulation Index ωc = Carrier Angular Frequency ωm = Modulating Angular Frequency Carrier Power in AM The carrier component is: Carrier = Ac cos(ωc t) Carrier power is: Pc = Ac² / 2R where R is the load resistance. Power in Upper and Lower Sidebands Expanding the AM equati...

Why Do We Add 6 to AL in BCD Arithmetic? One of the most common questions when studying the Intel 8086 and BCD (Binary-Coded Decimal) arithmetic is: Why do we add 06H to AL after certain additions? The answer lies in the difference between binary numbers and BCD numbers. BCD vs Binary Representation A single BCD digit can represent only decimal values from 0 to 9 . System Range Binary Values BCD Digit 0 – 9 0000 to 1001 4-bit Binary 0 – 15 0000 to 1111 Therefore, the following binary values are invalid BCD digits : 1010 = 10 1011 = 11 1100 = 12 1101 = 13 1110 = 14 1111 = 15 The Mat...

Intel 8086 Transistor Count: Architecture, Specifications, and Comparison with Other Microprocessors Intel 8086 Transistor Count: Complete Guide with Architecture and Processor Comparison The Intel 8086 microprocessor is one of the most important processors in computer history. Released in 1978 , it introduced the x86 architecture that still influences modern CPUs. One of the most frequently asked questions in computer architecture and microprocessor courses is: How many transistors are present in the Intel 8086? The commonly accepted answer is approximately 29,000 transistors . However, reverse-engineering studies have shown that the actual number of physical transistors is closer to 19,618 , while Intel's published figure includes programmable transistor locations used in ROM and PLA structures. Intel 8086 Transistor Count Metric Value Published transistor count ~29,000 Physical transistor count ~19,618 Release year 1978 Word ...