Final answer:
To determine the current flowing through the 3Ω resistor using Thevenin's theorem, first find the Thevenin equivalent resistance and voltage. Then use Ohm's law to calculate the current through the 3Ω resistor.
Step-by-step explanation:
To determine the current flowing through the 3Ω resistor using Thevenin's theorem, we need to find the Thevenin equivalent resistance and the Thevenin equivalent voltage. The Thevenin equivalent resistance (Rth) is found by calculating the parallel resistance of the circuit, which can be done using the formula 1/Rth = 1/R1 + 1/R2 + 1/R3. Once we have Rth, the Thevenin equivalent voltage (Vth) can be calculated using Ohm's law: Vth = Is × Rth, where Is is the current supplied by the source.
Once we have Rth and Vth, we can determine the current flowing through the 3Ω resistor by connecting it to the Thevenin equivalent circuit and using Ohm's law: I3 = Vth / Rth.