Because q is conserved,?

Question

Because q is conserved, the net change in potential energy of the charges going completely around the circuit ___.

a- must be zero

b- is higher at the beginning than at the end

c- is lower at the beginning than at the end

d- is a negative number

Answer 1

b.  Here's why.

Initial total energy TE = PE, the total energy of the particle is strictly potential energy as the quantum is not moving; so KE = 0

TE = pe + ke, the total energy remains fixed by the conservation of energy law, but now KE = ke > 0 and part of that total energy has been converted (by work input on the partcle) into kinetic energy.  That being the case, to keep TE constant, pe < PE must be true.

We can show this by setting the two equations equal TE = PE = pe + ke = TE; thus pe = PE - ke, which clearly shows that the later potential energy pe < PE the initial potential energy.

Answer 2

it shud be option c.

potential energy is accumulated as u traverse along.

q is indeed conserved  because it will be converted into another form of energy(possibly kinectic energy) later.