This economics question tests your understanding of economic models and analysis. The step-by-step answer below applies the relevant framework and explains the reasoning.
ScanSolve AI Answer
Step 1: Calculate the equivalent resistance of the parallel combination (3 Ω and 6 Ω). Formula: R_p = ( (1)/(R_1) + (1)/(R_2) )^-1 Substitute R_1 = 3\,, R_2 = 6\,: R_p = ( (1)/(3\,^-1) + (1)/(6\,^-1) )^-1 = ( (2)/(6\,^-1) + (1)/(6\,^-1) )^-1 = ( (3)/(6\,^-1) )^-1 = 2\, Step 2: Calculate the total equivalent resistance of the structure. The 2 Ω resistor is in series with the parallel combination. R_total = 2\, + R_p = 2\, + 2\, = 4\, Step 3: Calculate the total current in the circuit. Voltage across the structure V = 12\,V. Formula: I_total = (V)/(R_total) I_total = 12\,V4\, = 3\,A Step 4: The current in the 2 Ω resistor. The 2 Ω resistor carries the total current (series position). I_2 = I_total = 3\,A Final answer: 3 A 3 A