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Given Circuit The circuit contains: Left resistor: \(2\Omega\) Right resistor: \(2\Omega\) Vertical resistor: \(6\Omega\) Dependent current source: \(2V_2\) A, directed upward \(I_1\) and \(I_2\) enter the two-port network. Step 1: Define the Middle Node Voltage Let the voltage at the middle node be \(V_x\). Apply KCL at the middle node: $$ \frac{V_x-V_1}{2} + \frac{V_x-V_2}{2} = 2V_2 $$ Multiplying by 2: $$ 2V_x-V_1-V_2=4V_2 $$ Therefore: $$ \boxed{ V_x=\frac{V_1}{2}+\frac{5V_2}{2} } $$ Step 2: Find \(I_1\) The current entering port 1 is: $$ I_1=\frac{V_1-V_x}{2} $$ Substitute \(V_x\): $$ I_1= \frac{ V_1- \left( \frac{V_1}{2}+\frac{5V_2}{2} \ri...