In practice, it may not be possible or convenient to control the position of the stub, as…

In practice, it may not be possible or convenient to control the position 9e93dce7 4b7d 41ec 9f31 05feca368152 of the stub, as required for single stub matching of a load admittance 1e38ca7c 9f97 4da4 9c2d dff6ee9e0f45 to a line having characteristic admittance 3d5abd93 2685 4ca8 8c3a 7d7695bf5ef7. In that case, a “double stub” matching approach can be used, where two stubs at arbitrary locations but with adjustable lengths are used. At the price of restricting the range of loads that can be matched, suppose that the first stub is attached in parallel with the load and shorted at length e6092fe3 54db 420d a5a6 43d5de567c67, and that the second stub is shorted at length 1cac8975 bd51 434f b29c b13672738238 and connected in parallel with the line at a given distance 9e93dce7 4b7d 41ec 9f31 05feca368152 from the load. The stubs have the same characteristic admittance as the line. Describe how, given the load admittance and the distance l to the second stub, the lengths e6092fe3 54db 420d a5a6 43d5de567c67 and 1cac8975 bd51 434f b29c b13672738238 would be designed to match the load to the line.

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