If i connect an inductor and a charged capacitor as the only circuital elements in a circuit [other than lead wires], something called 'LC Oscillations' happen. According to what I've read, due to the charge on the capacitor, there is a potential difference across the ends across which the capacitor is connected. So, the capacitor undergoes discharge [i.e. current starts flowing in the circuit]. Since the inductor is there in the circuit, current flows through the inductor too... and hence causes a back emf in the inductor. Which basically means the ends across the inductor also have an emf across them, opposite to that caused by the capacitor and hence a current flows backward from the inductor and charges the capacitor, but this time the polarity of the capacitor is different from the previous one. My question is that, assuming that this oscillation is not dampened, then won't there be a time when the voltage across the ends of the capacitor undergoing discharge and the voltage across the ends of the inductor giving a back e.m.f become equal and opposite in direction. At this time, there will be no e.m.f in the circuit i.e. no potential difference across any two points in the circuit. As such, the current should stop to flow and hence, no further charge/discharge of the capacitor should take place. Once a capacitor is connected, the e.m.f. it causes across it begins to decrease and the back e.m.f. of the inductor continues to increase. Therefore, the point where these e.m.f's become equal should happen in the first cycle itself and hence, oscillations are just not possible, not even theoretically. But we all know, that they do happen.. so where am I going wrong?