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Additional info for CAS-CERN Accelerator School (& Rutherford Lab) - RF Engineering for Particle Accels
Is launched at the source end of the lOOfi line. This voltage reaches the resistance Ri = 100Q at t = td = 2 ns. 25 V is transmitted onto the 50Q line. 25u(t —2 ns) V until a new voltage disturbance arrives this position. The reflected voltage reaches the source end at t = 2 t(j = 4 ns and is completely absorbed since r s = 0. The transmitted voltage reaches the 5 pF capacitor at t = 2td = 4 ns. 25 ns and 2td is the total transmission line delay for the step voltage to travel from the source to the 5 pF capacitor.
0619 A respectively. 45. This process continues on until steady-state is reached at approximately point G or at t ~ 8^ = 16 ns. 45. 39 TRANSIENT RESPONSE OF TRANSMISSION LINES Fig. 46. Figure for Problem 2-39. Application of Bergeron graphical technique and T l versus t. 2-39. Nonlinear source, (a) We start by plotting the current-voltage characteristics of the source and load ends of the 50ft line given by 9, = 8(5 - Vg) - (5 - T s)2 and ~ 0 Note that the current-voltage characteristics of the load end of the line is approximately the horizontal voltage axis since ~ 10 Mft ~ oo.
Figure for Problem 2-33. Y s(t) and Vi,(i) versus t. , the closing of the switch) which is a negative step voltage source, where we were able to simply switch the sign of the responses found in Problem 2-32 due to the positive step voltage source of same amplitude. 39. 2-34. Inductive load. 5 V is launched from the source end of the 500 line traveling toward the inductive load. This voltage reaches the 250 resistor at t = 5 ns where a voltage of amplitude (25 + 75) - 5 0 . 5 V) = — V 1 (25 + 75) + 50 1 V V 3 reflects back toward the source and another voltage of amplitude V r = 2 5 T 7 5 ( I + l ) V' = V ' = 2-5V is launched on the 750 line traveling toward the load.
CAS-CERN Accelerator School (& Rutherford Lab) - RF Engineering for Particle Accels