If I have a voltage difference V from terminal 1 to terminal 2 of a resistor. I take an arbitrary point P along the resistor, between terminal 1 and terminal 2, and take terminal 1 as a voltage reference. Does the voltage difference between the point P and terminal 1 increases from 0 at terminal 1 to V at terminal 2 ? Is there a voltage gradient across a resistor ?
The question is about circuit theory in general.