Afour-port network with identical port characteristic impedances has the scattering matrix: [s] = 0.3∠−30◦ 0 0 0.8∠0 ◦ 0 0.7∠−30◦ 0.7∠−45◦ 0 0 0.7∠−45◦ 0.7∠−30◦ 0 0.8∠0 ◦ 0 0 0.3∠−30◦ (2) (a) is this network lossless? (b) is this network reciprocal? (c) what is the return loss at port 1 when all other ports are terminated with matched loads? (d) what is the insertion loss and phase delay between ports 2 and 3, when all other ports are terminated with matched loads? (e) what is the reection coecient seen at port 1 if a short circuit is placed at the terminal plane of port 4, and all other ports are terminated with matched loads?

d would be the most obvious choice to this question. leaders are supposed to herd their underlings like a shepherd to sheep. a leader should also listen to others when they are talking to one other to gain a better understanding of their mission and surroundings.

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