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JEE Advanced 2006
Exam
JEE Advanced
Year
2006
Subject
Physics
Chapter
Alternating Current

JEE Advanced 2006 · Physics · Alternating Current

Paragraph: The capacitor of capacitance C can be charged (with the...

Paragraph: The capacitor of capacitance CC can be charged (with the help of a resistance RR ) by a voltage source VV, by closing switch S1S_1 while keeping switch S2S_2 open. The capacitor can be connected in series with an inductor LL by closing switch S2S_2 and opening S1S_1.Paragraph: The capacitor of capacitance C can be charged (with the help of a resistance R ) by a voltage source V , by
Question: After the capacitor gets fully charged, S1S_1 is opened and S2S_2 is closed so that the inductor is connected in series with the capacitor. Then,

Options

  1. Aat t=0t=0, energy stored in the circuit is purely in the form of magnetic energy
  2. Bat any time t>0t>0, current in the circuit is in the same direction
  3. Cat t>0t>0, there is no exchange of energy between the inductor and capacitor
  4. Dat any time t>0t>0, maximum instantaneous current in the circuit may VCLV \sqrt{\frac{C}{L}}

Correct answer

D. at any time t>0t>0, maximum instantaneous current in the circuit may VCLV \sqrt{\frac{C}{L}}

Step-by-step solution

From conservation of energy, 12LImax⁡2=12CV2\frac{1}{2} L I_{\max }^2=\frac{1}{2} C V^2 \therefore \quad I_{\max }=V CL\sqrt{\frac{C}{L}}
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