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JEE Main 2003 (AIEEE) · LC Oscillations

LC Oscillations question from JEE Main 2003 (AIEEE)

Q25JEE Main 2003 · AIEEEEasy

LC Oscillations

In an oscillating LCLC circuit the maximum charge on the capacitor is QQ. The charge on the capacitor when the energy is stored equally between the electric and magnetic field is

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Answer: (c)

  1. Total energy U=Q22CU = \frac{Q^2}{2C}. Equal sharing means UE=U2U_E = \frac{U}{2}.
  2. q22C=12⋅Q22C⇒q2=Q22\frac{q^2}{2C} = \frac{1}{2}\cdot\frac{Q^2}{2C} \Rightarrow q^2 = \frac{Q^2}{2}
  3. So the answer is (c) Q2\frac{Q}{\sqrt{2}}.
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