What happens to the current flowing through the resistor if the potential difference is increased?

While a potential difference of 0 volts gives current of 0, a potential difference of 10 volts gives a current of 0.1 amps, and 20 volts gives 0.2 amps and so on, therefore current through a resistor is directly proportional to the potential difference and the resistance is constant: it doesn’t change if we increase the current, this kind of resistor is called an ohmic conductor.