Quick answer the current will go down.
The formula is
E = I * R. The variation is a direct one. Let us suppose E = 12 volts.
12 = I * 3 ohms Divide both sides by 3
12/3 = I
I = 4 amps
Now do it again for 6 ohms
12 = I * 6 Divide both sides by 6
12/6 = I
I = 2
So the current went down from 4 to 2
