A capacitor C is first charged fully with potential difference of V0 and disconnected from the battery. The charged capacitor is connected across an inductor having inductance L. In t s, 25% of the initial energy in the capacitor is transferred to the inductor. The value of t is s.
- LC3
- LC2
- LC2
- LC6
Answer
(4) LC6
Solution
In LC oscillations q = q0 t with = 1 LC, so the energy in the capacitor is UC = q22C = U0 2 t and the energy in the inductor is UL = U0 - UC = U0 2 t.
UL = U04 t = 12
t = 6
t = 6 LC = LC6
Answer: (4)