Final answer:
The resistance of a resistor and the current it carries are inversely proportional, not directly proportional, according to Ohm's law.
Step-by-step explanation:
The statement that the resistance of a resistor and the current it carries are proportional is incorrect. According to Ohm's law, the correct relationship is that current is inversely proportional to resistance. This means that as the resistance increases, the current through the resistor decreases, and vice versa, provided the voltage across the resistor remains constant.
Moreover, in terms of electrical power, it is proportional to the square of the current (I) through the resistor multiplied by the voltage (V) across it, which is represented by the formula P = I2R or P = V2/R.
Ohm's law also states that the current (I) is proportional to the voltage (V), with the resistance (R) being the constant of proportionality, which suggests the formula I = V/R.