GATE EC 2016 Set 2 — Question 63
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Electromagnetics → Transmission Lines → Characteristic Impedance & Propagation
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Question
A lossless microstrip transmission line consists of a trace of width . It is drawn over a practically infinite ground plane and is separated by a dielectric slab of thickness and relative permittivity . The inductance per unit length and the characteristic impedance of this line are and , respectively.
Which one of the following inequalities is always satisfied?
Correct answer
(B) Z₀ < √((Lt)/(ε₀ εᵣ w))
Solution
The characteristic impedance of a lossless transmission line is , where and are the inductance and capacitance per unit length. For a microstrip line, the capacitance per unit length is greater than the ideal parallel-plate capacitance due to the presence of fringing fields (). Since , we have:Thus, option (B) is always satisfied.
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