Q4. a) Figure 3 shows the cross-sections of microstrip line and coplanar waveguide, which are common transmission lines used for high frequency circuits. W W dielectric Figure 3(a) - Microstrip dielectric Figure 3(b) - Coplanar Waveguide (i) Sketch the electric and magnetic field distributions on the cross-sections of each of these lines when carrying a signal, indicating clearly the field directions relative to the power flux. (ii) If each line is found to have a characteristic impedance Zo = 302 rather than the desired value of 502, describe qualitatively the adjustments that could be made to each line to achieve 500 (hint: consider first how the line capacitance of each line can be varied). b) A low-loss, 500 coaxial cable is 3.5km long and has a solid dielectric spacer of relative permittivity 2.05. Its near end is connected to a matched 325V, 50Hz mains voltage source and its far end is terminated with a 1200 load. (i) Calculate the total inductance, total capacitance and signal transit time of the coaxial cable. c) (ii) Calculate the rms forward power, rms reflected power and the rms power delivered to the 1200 load. A service engineer attempts to measure line power by connecting a power probe across the cable's conductors at a position 1.1km from the source, which effectively introduces a sudden 500 shunt impedance at this position. (i) Calculate the rms probe power immediately after it is connected. (ii) Explain what happens to the subsequent values of rms probe and rms load powers and calculate their steady-state values.
Q4. a) Figure 3 shows the cross-sections of microstrip line and coplanar waveguide, which are common transmission lines used for high frequency circuits. W W dielectric Figure 3(a) - Microstrip dielectric Figure 3(b) - Coplanar Waveguide (i) Sketch the electric and magnetic field distributions on the cross-sections of each of these lines when carrying a signal, indicating clearly the field directions relative to the power flux. (ii) If each line is found to have a characteristic impedance Zo = 302 rather than the desired value of 502, describe qualitatively the adjustments that could be made to each line to achieve 500 (hint: consider first how the line capacitance of each line can be varied). b) A low-loss, 500 coaxial cable is 3.5km long and has a solid dielectric spacer of relative permittivity 2.05. Its near end is connected to a matched 325V, 50Hz mains voltage source and its far end is terminated with a 1200 load. (i) Calculate the total inductance, total capacitance and signal transit time of the coaxial cable. c) (ii) Calculate the rms forward power, rms reflected power and the rms power delivered to the 1200 load. A service engineer attempts to measure line power by connecting a power probe across the cable's conductors at a position 1.1km from the source, which effectively introduces a sudden 500 shunt impedance at this position. (i) Calculate the rms probe power immediately after it is connected. (ii) Explain what happens to the subsequent values of rms probe and rms load powers and calculate their steady-state values.
Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN:9781305632134
Author:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher:J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Chapter4: Transmission Line Parameters
Section: Chapter Questions
Problem 4.4P: One thousand circular mils or 1 kcmil is sometimes designated by the abbreviation MCM75C. Data for...
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Transcribed Image Text:Q4. a) Figure 3 shows the cross-sections of microstrip line and coplanar waveguide,
which are common transmission lines used for high frequency circuits.
W
W
dielectric
Figure 3(a) - Microstrip
dielectric
Figure 3(b) - Coplanar Waveguide
(i) Sketch the electric and magnetic field distributions on the cross-sections of
each of these lines when carrying a signal, indicating clearly the field
directions relative to the power flux.
(ii) If each line is found to have a characteristic impedance Zo = 302 rather than
the desired value of 502, describe qualitatively the adjustments that could
be made to each line to achieve 500 (hint: consider first how the line
capacitance of each line can be varied).
b) A low-loss, 500 coaxial cable is 3.5km long and has a solid dielectric spacer of
relative permittivity 2.05. Its near end is connected to a matched 325V, 50Hz
mains voltage source and its far end is terminated with a 1200 load.
(i) Calculate the total inductance, total capacitance and signal transit time of
the coaxial cable.
c)
(ii) Calculate the rms forward power, rms reflected power and the rms power
delivered to the 1200 load.
A service engineer attempts to measure line power by connecting a power probe
across the cable's conductors at a position 1.1km from the source, which
effectively introduces a sudden 500 shunt impedance at this position.
(i) Calculate the rms probe power immediately after it is connected.
(ii) Explain what happens to the subsequent values of rms probe and rms load
powers and calculate their steady-state values.
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