The current in the resistor is determined by Ohm's Law, which states that the current is equal to the voltage divided by the resistance.
I = V/R
Since the voltage has been reduced to 6.0V, we can calculate the new current as follows:
I = 6.0V/12.0V = 0.5A
Therefore, the current in the resistor when the voltage is reduced to 6.0V is 0.5A.