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Most Important Selected Qs for JEE AdvancedPhysicsAlternating Current

Paragraph: A circuit shown in the figure in which k ₁ is closed and k ₂ is open. Inductor L can be connected to capacitor C ₁ by closing switch k ₂ and opening k ₁ . Question: At t=0 , when capacitors are fully charged, switch k₁ is opened and switch k₂ is closed, so that inductor is connected in series with capacitor C ₁ . The maximum charge will appear on capacitor C ₁ at time t is

Options

  1. A2000
  2. B1000
  3. C500
  4. DNone

Correct answer

C. 500

Step-by-step solution

For long time capacitor gets full charged and charge on each capacitor must be same. aligned & Q 2 + Q 3 =20 & Q =24 C & [ = 1 LC = 1 2 2 10⁻⁶ = 10 2 =50 rad / s ] & Q ( t )=24 t C & Q ( t )=(24 t ) C & 500 t = 2 (-1)^ n + n & t = n 500 +(-1)^ n 1000 & E _ = Q ₀^2 2 C = 24 10⁻³ 24 10⁻⁶ 2 2 10⁻⁶ =144 10⁻⁶ Joule =0.144 ~mJ aligned

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