When the current in a conductor is doubled, keeping its resistance constant, the heat generated in the conductor will be:
4 times of the original
We know heat produced in a conductor is H=I2Rt, where 'I' is the current flowing, 'R' is the resistance of wire and 't' is the time for which current is flowing in a conductor.
When electrical resistance 'R' and time period 't' is kept constant then, H∝I2.
So, if the current is doubled, the heating effect of a current through a conductor becomes 4 times of the original.