When a charged capacitor is connected to earth, it discharges and the voltage v across it will decrease according to the equation:
dv/dt=−v/rc
where r (the resistance) and c (the capacitance) are constants. if the voltage v across a certain capacitor with capacitance c = 3×10−6 farads
drops from 10 volts to 1 volt in two seconds, determine the resistance r.

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.