AIPMT MAINS 2010 Physics LC Oscillations MCQ Question
A condenser of capacity C is charged to a potential difference of V₁. The plates of the condenser are then connected to an ideal inductor of inductance L. The current through the inductor when the potential difference across the condenser reduces to V₂ is
C(V₁ − V₂)²/L
C(V₁² − V₂²)/L
C(V₁² + V₂²)/L
C(V₁² − V₂²)/L)^(1/2)
Correct Answer
Detailed Explanation
The energy conservation in the LC circuit gives the relation C(V₁² − V₂²) = LI². Solving for I gives I = (C(V₁² − V₂²)/L)^(1/2).
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