Final answer:
The current across the 2.0 Ω resistor in the given parallel circuit with a 3.0 V power supply is 1.5 A, following Ohm's Law.
Step-by-step explanation:
To find the current across the 2.0 Ω resistor, we can use Ohm's Law, which states that the current (I) through a resistor can be calculated using the voltage (V) across the resistor divided by the resistance (R) of the resistor: I = V/R. In a parallel circuit, the voltage across all components is the same, so the voltage across the 2.0 Ω resistor is equal to the voltage of the power supply, which is 3.0 V.
Using Ohm's Law: I = V/R = 3.0 V / 2.0 Ω = 1.5 A. Therefore, the current across the 2.0 Ω resistor is 1.5 A.