Final answer:
The statement about doubling resistance and doubling current being false is clarified with the help of Ohm's law, which indicates that doubling resistance actually halves the current if the voltage remains constant.
Step-by-step explanation:
The statement 'If the resistance in a circuit is doubled, the current would also be doubled' is false. According to Ohm's law, which states that the current (I) through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R), the formula is I = V/R. Therefore, if the resistance is doubled, the current is halved, assuming the voltage remains constant. This relationship is crucial when working with electrical circuits.
For instance, if the voltage across a fixed resistance is doubled, then the current through that resistance will also double. Conversely, if you double the current through a resistor, the power dissipated by the resistor increases by a factor of four, since power is proportional to the square of the current (P=I^2R).