Curio

when you say electrons gain energy from the field you mean the electric potential right ? so now this E.P is converted to KE which is lost as heat, is this what you are saying or are you telling that EP decreases due to some other reason ? I know that Ohm found his law experimentally, does the V in ohm's law represent this loss in energy as heat ? as it representing loss of electric potential won't make sense as it is only influenced by position

also, how would a graph of the potential(electric potential vs x right ?) of a circuit with a resistor look like ?

for edit: does loss of ke influence pe in any other way ? I think that it just slows down the rate at which pe is decreasing as it lowers velocity

john doty, loss of kinetic energy of electrons causes the voltage drop right ? A resistor reduces the kinetic energy of a resistor, this loss is excluded as heat, this reduces energy in the circuit this causes voltage drop right ? then how can i ignore it ?(i think this is the case here, if i am wrong please let me know)

energy is lost by electrons due to the resistor right, can i say that both the kinetic and potential energy of the electron are caused by the potential difference across the ends of that battery and the kinetic and potential energy of the electrons are just a form of the electric energy, and when kinetic energy is converted to heat, then some of the 'electrical' energy is lost this lost energy(kinetic) is called voltage drop right ? is so then why do we call it 'voltage' drop', i find it to be misleading, this is my question, i guess i have not asked it properly, should i edit it ?

no idea, i just am school level.