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(a) Now consider a typical open-wire transmission line with parameters of R = 14 /mi, L = 4.6 mH/mi, C = 0.01 µF/mi, and G = 0.3×10-6S/mi. If the line operates at 1 kHz, find the characteristic impedance ¯ Z0 and the propagation constant ¯ γ .
(b) Then consider a 100-mi open-wire ?at telephone line with the same parameters as those given in part (a). The matched transmissionline is shown in Figure P15.1.18(b). If the frequency of the generator is 1 kHz, determine the following:
(i) Sending-end current ¯ IS .
(ii) Sending-end voltage ¯ ES .
(iii) Sending-end power PS.
(iv) Receiving-end current ¯ IR.
(v) Receiving-end voltage ¯ ER.
(vi) Receiving-end power PR.
(vii) Power loss in dB, which is given by 10 log (PS/PR).
Consider the following mechanical system: a) Write a differential equation that describes the motion for this system. b) Take the Laplace transform of this equation and
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