If we say that we have a 10 volt battery and a resistor of 5 ohm, we would have a current of 2 ohm whereas when we replace the resistor with one of resistance 10 ohm, we would have current that is exactly halved i.e. 1 ampere.
We know that the potential difference across the resistance would also be 10V, that means when '1 COULOMB of charge' moves through that resistance, it loses 10 Joules of energy. Now, when we have halved the resistance, still whatever amount of charge flows through it, for every coulomb there is a loss of 10 Joules of energy. **
So why is it so that when the resistance is halved, we have more charges flowing through, but losing the same amount of energy per charge even when the resistance is different?
** (assuming wires have negligible resistance and there is no loss of energy elsewhere).
In essence what I mean to say is that, if we keep the voltage source same and change the resistance, the energy lost per unit charge remains same (even though the same charge moves through different amount of resistances), but we have increased/decreased flow of charges respectively.
Why is it so? Why is the rate of flow of charges altered when we change the resistance but not the energy lost per charge, even when the resistances are different and the same charge moves through them?
I really hope you understand what I am asking...