A 50-lossless line is terminated in a load impedance ZL = (30 - j20).
(a) Calculate and S.
(b) It has been proposed that by placing an appropriately selected resistor across the line at a distance l max from the load (as shown in the figure below), where l max is the distance from the load of a voltage maximum, then it is possible to render Zi = Z0, thereby eliminating reflections back to the sending end. Show that the proposed approach is valid and find the value of the shunt resistance.

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Z = (30 - j 20) 2 Z, = 50 2 Imar Z = (30 - j 20) 2 Z, = 50 2