Problem 4. A transmission line of characteristic impedance 100 carries a voltage

Question

Problem 4. A transmission line of characteristic impedance 100 carries a voltage wave of the form V+ =(0.2V)cos(wt-kz). The load circuit has a resistance of 50 , an inductance of 2 * 10^-6 H and a capacitance of 5* 10^-11 F. A) What is the resonant frequency of this circuit? B) Find the form of the re ected voltage wave and the re ectance if w=108/s. C) Find the form of the re ected voltage wave and the re ectance if w = 1.1 108 / s. D) Find the form of the re ected voltage wave and the re ectance if w=5 108/s.

Explanation / Answer

A) the complex refection coeffcient at a load circuit = (zL - zS)/(zL + zS)

B) For, the re ection coffcient p~V at a load be real   , ZL << 1

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