Application: Design of network elements. In the design of a transmission line network, it is required to design a reactance of j100 a as an element in the network. Show how this can be accomplished with:
(a) A lossless, shorted transmission line with characteristic impedance of 50 Ω at a wavelength of 1 m.
(b) A lossless open transmission line with characteristic impedance of 75 Ω at a wavelength of 1 m.
(c) If a capacitive reactance of -j100 Ω is needed instead, what are the answers to (a) and (b)?