(Solved): fx =0.8 Problem 3 [40 points] A 50 ohms transmission has \( \epsilon=4 \epsilon_{0}, \mu=\mu_{0} \) ...

fx =0.8

Problem 3 [40 points] A 50 ohms transmission has \( \epsilon=4 \epsilon_{0}, \mu=\mu_{0} \) dielectric material. a) Choose the length of short-ended transmission line such that its input impedance at \( \mathrm{fx} \) \( \mathrm{GHz} \) is equivalent to the reactance of a capacitor with capacitance \( \mathrm{C}_{\mathrm{eq}}=10 \mathrm{pF} \). b) Choose the length of open-ended transmission line such that its input impedance at fx \( \mathrm{GHz} \) is equivalent to the reactance of a capacitor with capacitance \( \mathrm{C}_{e q}=10 \mathrm{pF} \). c) Choose the length of short-ended transmission line such that its input impedance at \( \mathrm{fx} \) \( \mathrm{GHz} \) is equivalent to the reactance of an inductor with inductance \( \mathrm{L}_{\mathrm{eq}}=10 \mathrm{nH} \). d) Choose the length of open-ended transmission line such that its input impedance at \( \mathrm{fx} \) \( \mathrm{GHz} \) is equivalent to the reactance of an inductor with inductance \( \mathrm{L}_{\mathrm{eq}}=10 \mathrm{nH} \).