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Robert Sobot - Wireless Communication Electronics by Example

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Robert Sobot Wireless Communication Electronics by Example
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This book is intended for senior undergraduate and graduate students as well as practicing engineers who are involved in design and analysis of radio frequency (RF) circuits. Fully-solved, tutorial-like examples are used to put into practice all major topics required to understand the principles underlying the main sub-circuits required to design an RF transceiver and the whole communication system. Starting with review of principles in electromagnetic (EM) transmission and signal propagation, through detailed practical analysis of RF amplifier, mixer, modulator, demodulator, and oscillator circuit topologies, all the way to the system communication theory behind the RF transceiver operation, this book systematically covers all relevant aspects in a way that is suitable for a single semester university level course. Readers will benefit from the authors sharp focus on radio receiver design, demonstrated through hundreds of fully-solved, realistic examples, as opposed to texts that cover many aspects of electronics and electromagnetic without making the required connection to wireless communication circuit design.

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Part 1
Problems
Robert Sobot Wireless Communication Electronics by Example 2014 10.1007/978-3-319-02871-2_1
Springer International Publishing Switzerland 2014
1. Introduction: Problems
Robert Sobot 1
(1)
Electrical and Computer Engineering, Western University, London, ON, Canada
Robert Sobot
Email:
Abstract
Electromagnetic (EM) waves and their transmission through space are possible due to several relatively simple but fundamental physical phenomena. In modern theoretical physics, EM wave is an abstract concept that epitomizes transfer of energy through the space, which is equivalent to say that information is transferred through the space. At the same time, the information itself is embedded into the wave in the form of the energy variation in time.
Electromagnetic (EM) waves and their transmission through space are possible due to several relatively simple but fundamental physical phenomena. In modern theoretical physics, EM wave is an abstract concept that epitomizes transfer of energy through the space, which is equivalent to say that information is transferred through the space. At the same time, the information itself is embedded into the wave in the form of the energy variation in time. In this chapter we review some of the fundamental concepts from physics related to energy, matter, EM waves, EM fields, propagation of energy through matter and space, and basic interaction between two waveforms.
Problems :
1.1. An average sized snowflake consists of approximately Wireless Communication Electronics by Example - image 1 molecules. Assuming the complete matter of the snowflake is converted into energy, estimate for how long a laptop computer whose average power consumption is Picture 2 could be powered?
1.2. Our Sun produces energy in form of light by continuous nuclear fusion reaction in its core where hydrogen (H) atoms are fused together to form atoms of helium (He). Activity of the Sun is monitored by satellites positioned around Earth that measure the solar constant Picture 3 , i.e. average radiated power per square metre at the distance of one astronomical unit ( Wireless Communication Electronics by Example - image 4 ) from the Sun. Estimated average value of the solar constant is Wireless Communication Electronics by Example - image 5 .
Knowing the average radius of the Earth Picture 6 , the average distance between the Earth and the Sun Picture 7 , and estimated mass of the Sun Picture 8 , estimate:
what is the total mass ( Picture 9 ) of matter at rest that the Sun converts into energy per second?
what percentage of the total converted mass Picture 10 at rest is used to supply energy to the Earth?
what is the total mass ( Picture 11 ) at rest of hydrogen (H) used in the fusion process per second?
ignoring all other causes, and assuming that the Sun will collapse after converting 10 % of its current mass at rest, estimate how long the Sun will last?
what is the total power radiated by the Sun and how much is received at the Earth?
1.3. Sketch an EM sinusoidal wave that propagates in xdirection with clearly marked all three axes, as well as the other relevant wave vectors.
1.4. Sketch a rough drawing of EM wave as being generated by a dipole antenna.
1.5. Show that expression Wireless Communication Electronics by Example - image 12 describes a wave moving in the positive Picture 13 direction. In addition, express Picture 14 and Picture 15 parameters in terms of the corresponding wavelength Wireless Communication Electronics by Example - image 16 , the frequency Wireless Communication Electronics by Example - image 17 , then find relationship to the wave velocity Wireless Communication Electronics by Example - image 18 , i.e. as function of angular frequency Wireless Communication Electronics by Example - image 19 and wave number Wireless Communication Electronics by Example - image 20 .
1.6. Starting with classical approximation of the wave equation of a sinusoidal EM wave Wireless Communication Electronics by Example - image 21 derive expression and then calculate the speed of light in vacuum with no electric charges.
1.7. Find the ratio of electric and magnetic field amplitudes of a sinusoidal EM wave whose components are Wireless Communication Electronics by Example - image 22 and Wireless Communication Electronics by Example - image 23 .
1.8. We note that vector product of electric and magnetic fields Wireless Communication Electronics by Example - image 24 points in the same direction as the wave velocity vector. Find expression for magnitude of a vector Wireless Communication Electronics by Example - image 25 that is defined as Wireless Communication Electronics by Example - image 26 and determine its measurement unit. Comment on the nature of these results.
1.9. Estimate peak values of electric Picture 27 and magnetic Picture 28 components of EM wave generated by the Sun, as measured close to the Earth.
1.10. After learning that Poynting vector represents flow of energy per unit area, and recognizing that energy is related to work, that work is related to force, and the force is related to pressure, we realize that EM wave hitting a perfectly reflective surface must exert radiation pressure on the surface. Derive expression for average Poynting vector Picture 29
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