Circuit a has four 3.0-ohm resistors connected in
series with a 24-volt battery, and circuit b has two
3.0-ohm resistors connected in series with a
24-volt battery. compared to the total potential
drop across circuit a, the total potential drop
across circuit b is
(1) one-half as great (3) the same
(2) twice as great (4) four times as great

An electron is ejected into a horizontal uniform e⃗ field at a parallel horizontal velocity of v0. assume the electron's initial position x0, initial velocity v0, time t, magnitude of electric field e, electron's mass m, and the magnitude of the electron's charge |e|. ignore the force that earth exerts on the electron. assume the e⃗ field is in the same direction as the initial velocity. part a define the equation for the electron's velocity. express your answer in terms of the variables v0, |e|, t, e, and m.