Final answer:
To find the Norton equivalent with respect to the terminals a,b, we calculate the Norton current (In) and the Norton resistance (Rn). The Norton current (In) is found by dividing the total voltage across the terminals by the total resistance of the circuit.
Step-by-step explanation:
To find the Norton equivalent with respect to the terminals a,b, we need to first calculate the Norton current (In) and the Norton resistance (Rn).
Step 1: Calculate the total resistance (Rtot) of the circuit. In this case, Rtot = R = 26Ω.
Step 2: Calculate the total voltage (Vtot) across the terminals a,b. Vtot can be found using Ohm's law: Vtot = Rtot * In. However, since we are looking for the Norton current, we rearrange the equation to give In = Vtot / Rtot.
Step 3: Substitute the known values into the equation and solve for In: In = Vtot / Rtot = 12V / 26Ω = 0.462A.