# A dc source of voltage V, and internal resistance R, is connected through a switch to a lnsslcss…

A dc source of voltage V, and internal resistance R, is connected through a switch to a lnsslcss lint having characteristic impedance R. The line is terminated in a resistance RR. The traveling time of a voltage across the line is T. The switch closes at = 0. (a) Draw a lattice diagram showing the voltage of the line during the period t 0 to t = 7T. Indicate the voltage components in terms of V, and the reflection coefficients pR and p,. (b) Determine the receiving-end voltage at t = 0, 2T, 4T, and 6T, and hence at 2nT where n is any non-negative integer. (e) Hence, determine the steady-state voltage at the receiving end of the line in terms of Vs, RR, and Re. (d) Verify the result in part (c) by analyzing the system as a simple dc circuit in the steady state. (Note that the line is lossless and remember how inductances and capacitances behave as short circuits and open circuits to dc.)