JEE Advanced2006PhysicsAlternating CurrentActual
Paragraph: The capacitor of capacitance C can be charged (with the help of a resistance R ) by a voltage source V , by closing switch S₁ while keeping switch S₂ open. The capacitor can be connected in series with an inductor L by closing switch S₂ and opening S₁ . Question: If the total charge stored in the L C circuit is Q₀ , then for t 0
Options
- Athe charge on the capacitor is Q=Q₀ ( 2 + t L C )
- Bthe charge on the capacitor is Q=Q₀ ( 2 - t L C )
- Cthe charge on the capacitor is Q=-L C d^2 Q d t^2
- Dthe charge on the capacitor is Q=- 1 L C d^2 Q d t^2
Correct answer
C. the charge on the capacitor is Q=-L C d^2 Q d t^2
Step-by-step solution
Comparing the LC oscillations with normal SHM, we get d^2 Q d t^2 =- ^2 Q Here, aligned ^2 & = 1 L C Q & =-L C d^2 Q d t^2 aligned Q=-L C d^2 Q d t^2