If one places a variable resistance (rheostat) across a voltage source, the voltage across the rheostat is fixed. Then rheostat works as
According to Ohm's law, the voltage across and current through a resistor are proportional. If one places a variable resistance (rheostat) across a voltage source, the voltage across the rheostat is fixed.
By fixing the voltage across the rheostat, the current through becomes inversely proportional to the resistance:
I=VR
Thus we can change the current through varying the rheostat resistance as the voltage (V) is constant.