>Voltage drop on the resistor will not increase forever with time
obviously not
then
you get the transient (or, homogenous) current response by solving the auxiliary equation in your head:
the steady-state (or, particular) response is found by method of undetermined coefficients (like, recognize current is of the form Acos(wt)+Bsin(wt) then solve for A and B):
this is a linear circuit, so the principle of superposition applies: . but from ohm's law, so
where K is a constant fixed by initial conditions and phi the phase shift, do the trigonometry yourself. OR, you can do this entire problem in like one step with phasors and voltage divider formula. let : then the magnitude of the voltage drop is and
btw /sci/ is for race "realism" and debunking quantum mechanics/relativity/modern physics or something