At time t = 0, terminal A in the circuit shown in the figure is connected to B by a key…

Physics · JEE Advanced · NTA ExamsElectromagnetic Induction and Alternating Currents

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) = I0cos(wt), with I0 = 1 A and w = 500 rad s–1
starts flowing in it with the initial direction shown in the figure. At 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 mF, R = 10 W and the battery is ideal with emf of 50 V, identify the correct statement(s).
  1. Magnitude of the maximum charge on the capacitor before is 1 × 10–3 C.
  2. The current in the left part of the circuit just before is clockwise.
  3. Immediately after A is connected to D, the current in R is 10 A.
  4. Q = 2 × 10–3 C.

Answer

(D) Q = 2 × 10 –3 C.

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