Math Problem Statement
A transmission line consists of two coaxial metallic cylinders of 5 mm and 1 cm radii. The inner
cylinder is coated by a 2 mm thick layer of dielectric of relative permittivity 2.25.
Calculate characteristic impedance and propagation velocity of the line.
Solution
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Math Problem Analysis
Mathematical Concepts
Electromagnetism
Transmission Lines
Impedance
Wave Propagation
Formulas
Characteristic impedance Z_0 = (60 / sqrt(ε_r)) * ln(r_outer / r_inner)
Propagation velocity v = c / sqrt(ε_r)
Theorems
Logarithmic relationship of impedance
Velocity of electromagnetic waves in a dielectric medium
Suitable Grade Level
Undergraduate (Electrical Engineering)
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