Final answer:
The current through the 6.00Ω resistor is calculated using Ohm's Law, resulting in a current of 1.61 A.
Step-by-step explanation:
The current through the 6.00Ω resistor can be determined by using Ohm's Law, which states that V = IR, where V is the voltage across the resistor, I is the current through the resistor, and R is the resistance. Given that the voltage V across R2 (the 6.00Ω resistor) is 9.65 V, we can rearrange the formula to solve for the current, I = V/R. Therefore, the current I through the 6.00Ω resistor is I = 9.65 V / 6.00Ω, which calculates to 1.61 A. This answer also aligns with the provided reference information.