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JEE Advanced2014PhysicsAlternating CurrentActual

At time t = 0, terminal A in the circuit shown in the figure is connected to B by a key and an alternating current I t = I 0 cos ⁡ ω t , with I 0 = 1 A and ω = 500 rad/s starts flowing in it with the initial direction shown in the figure. At t = 7 π 6 ω , the key is switched from B to D. Now onwards only A and D are connected. A total charge Q flows from the battery to charge the capacitor fully. If C = 20 μ F , R =

Options

  1. AMagnitude of the maximum charge on the capacitor before t = 7 π 6 ω is 1 × 10 - 3 C .
  2. BThe current in the left part of the circuit just before t = 7 π 6 ω is clockwise.
  3. CImmediately after A is connected to D, the current in R is 10 A.
  4. DQ = 2 × 10 - 3 C .

Correct answer

C. Immediately after A is connected to D, the current in R is 10 A.

Step-by-step solution

G i v e n , I = I 0 cos ωt ,   P e a k   o r   m a x i m u m   c u r r e n t   I 0 = 1 A                       a n g u l a r   f r e q u e n c y , ω = 500   rad   s - 1                       c a p a c i tan c e   C = 20 μF                       r e s i s tan c e   R = 10 Ω   &#1

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