Coaxial cable is used in applications requiring the propagation of high-frequency signal. Such cable consists of a solid conducting cylinder as the inner conductor and a solid conducting cylindrical shell as the outer conductor. A dielectric fills the region between these conductors. Consider the RG-59/U coaxial cable that is commonly used to connect a television/internet equipment. It has an inner conductor with a diameter of 0.584 mm, dielectric filler with a dielectric constant of K = 1.20, and an outer conductor with an inner diameter of 3.7084 mm. Assuming that these conductors are very long, calculate the capacitance per metre of the RG-59/U coaxial cable. Include a derivation of an equation for the capacitance per unit length of the coaxial cable and then use this equation to calculate your answer. (As discussed in class, assign a charge +Q and voltage V to the inner conductor and a charge -Q and 0 V to the outer conductor, solve for the voltage V, and then compute the capacitance as C = Q/V.)

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
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Problem 4.4P: One thousand circular mils or 1 kcmil is sometimes designated by the abbreviation MCM75C. Data for...
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3. Coaxial cable is used in applications requiring the propagation of high-frequency signal. Such cable consists
of a solid conducting cylinder as the inner conductor and a solid conducting cylindrical shell as the outer
conductor. A dielectric fills the region between these conductors.
Consider the RG-59/U coaxial cable that is commonly used to connect a television/internet equipment. It
has an inner conductor with a diameter of 0.584 mm, dielectric filler with a dielectric constant of K = 1.20,
and an outer conductor with an inner diameter of 3.7084 mm.
Assuming that these conductors are very long, calculate the capacitance per metre of the RG-59/U coaxial
cable. Include a derivation of an equation for the capacitance per unit length of the coaxial cable and then
use this equation to calculate your answer. (As discussed in class, assign a charge +Q and voltage V to the
inner conductor and a charge -Q and 0 V to the outer conductor, solve for the voltage V, and then compute
the capacitance as C = Q/V.)
Transcribed Image Text:3. Coaxial cable is used in applications requiring the propagation of high-frequency signal. Such cable consists of a solid conducting cylinder as the inner conductor and a solid conducting cylindrical shell as the outer conductor. A dielectric fills the region between these conductors. Consider the RG-59/U coaxial cable that is commonly used to connect a television/internet equipment. It has an inner conductor with a diameter of 0.584 mm, dielectric filler with a dielectric constant of K = 1.20, and an outer conductor with an inner diameter of 3.7084 mm. Assuming that these conductors are very long, calculate the capacitance per metre of the RG-59/U coaxial cable. Include a derivation of an equation for the capacitance per unit length of the coaxial cable and then use this equation to calculate your answer. (As discussed in class, assign a charge +Q and voltage V to the inner conductor and a charge -Q and 0 V to the outer conductor, solve for the voltage V, and then compute the capacitance as C = Q/V.)
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