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A $200\: m$ long transmission line having parameters shown in the figure is terminated into a load ܴ$R_{L}$. The line is connected to a $400\: V$ source having source resistance $R_{S}$ through a switch, which is closed at $t = 0.$ The transient response of the circuit at the input of the line $(z = 0)$ is also drawn in the figure. The value of $R_{L}\: \text{(in}\: \Omega)$ is ________.

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