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Application: Design of transmission lines. It is required to design a load of 75 - j50 Ω to simulate a device operating at 100 MHz. It is proposed using a section of a 50 Ω line and connecting to its end a lumped resistance R. The line phase velocity is c/3.
(a) Calculate the length of line and the required resistance R that will accomplish this.
(b) Is the solution unique? Explain and find all possible solutions if the solution is not unique.
When does a 2x2 orthogonal matrix Q with det(Q) = 1 describing a 2 dimensional rotation have real eigenvalues and eigenvectors?
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How much will it cost to modify the existing jig? Currently, for this job, the machining cycle time to drill the hole is 30 sec, the unload/load time is 30 sec, the operator is getting $12/hr, and the machine cost is $30/hr.
A vessel with a frictionless piston contains 1 ft^3 of a gas at 200 psia. The piston is held in position by applying an external force. Calculate the amount of work done if:
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