Consider an LC circuit, where the capacitor and inductor are connected in series
ID: 2105764 • Letter: C
Question
Consider an LC circuit, where the capacitor and inductor are connected in series and the capacitor is charged initially to Qm before the switch S is closed. Assume that there is no resistance in the circuit. Which of the following is false?
(a) The total energy of the capacitor plus inductor does not change with time.
(b) The energy in the inductor is a maximum when the energy in the capacitor is a minimum.
(c) The interval of time between successive instants when the capacitor is fully-charged would be longer if the inductance were doubled.
(d) If the initial charge on the capacitor were doubled, then the maximum current through the inductor would double.
(e) If the initial charge on the capacitor were doubled, then the maximum energy stored in the inductor would double
Explanation / Answer
time constant = sqrt(LC)
if L is doubled then t is increased by sqrt(2) times only
therefore option C is wrong