An ideal LC circuit has L=4 H and C=1 F. The capacitor is initially fully charged. Determine the first time, in seconds, at which it becomes completely discharged.
Physics · Electromagnetic Induction · LC Oscillations
JEE Mains NEET

Question

An ideal LC circuit has L=4 H and C=1 F. The capacitor is initially fully charged. Determine the first time, in seconds, at which it becomes completely discharged.

G1 Physics · Accepted Answer

ω=1/√(LC)=1/2 rad/s. First discharge occurs at ωt=π/2, so t=π seconds ≈3.1416 s.