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AIIMS 2003
Exam
AIIMS
Year
2003
Subject
Physics
Chapter
Electromagnetic Induction

AIIMS 2003 · Physics · Electromagnetic Induction

In an ideal parallel L C circuit, the capacitor is charged by...

In an ideal parallel LCL C circuit, the capacitor is charged by connecting it to a d.c. source which is then disconnected. The current in the circuitIn an ideal parallel L C circuit, the capacitor is charged by connecting it to a d.c. source which is then

Options

  1. Abecomes zero instantaneously
  2. Bgrows monotonically
  3. Cdecays monotonically
  4. Doscillates instantaneously.

Correct answer

D. oscillates instantaneously.

Step-by-step solution

When the capacitor is connected to a d.c. source and then disconnected, it gets charged and then it starts discharging through the inductor. An induced emf is produced in the circuit which opposes the growth of current in LL. When the capacitor is fully discharged, the electric energy stored in the capacitor (i.e. 1/2q2/C1 / 2 q^{2 / C} ) gets converted fully into magnetic field energy \left(1 / 2 L I^2\right).Assoonasthedischargeofthecapacitoriscomplete,currentstopsandthemagneticfluxlinkedwith. As soon as the discharge of the capacitor is complete, current stops and the magnetic flux linked withLstartscollapsing.Therefore,aninducedemfisagaindevelopedwhichstartsrechargingthecapacitorintheoppositedirection.Whentherechargingiscompleted,allmagneticenergystoredinstarts collapsing. Therefore, an induced emf is again developed which starts recharging the capacitor in the opposite direction. When the recharging is completed, all magnetic energy stored inLappearsastheelectricenergybetweentheplatesofthecapacitor.Theentireprocesskeepsonrepeatingandtheenergytakenfromthecellkeepsonoscillatingbetweenappears as the electric energy between the plates of the capacitor. The entire process keeps on repeating and the energy taken from the cell keeps on oscillating betweenC and L$. Hence the current in the circuit starts oscillating as soon as the d.c. source charging the capacitor is disconnected. In an ideal parallel L C circuit, the capacitor is charged by connecting it to a d.c. source which is then
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