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JEE Advanced 2014 Paper 1

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Question : 2

Total: 60

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)=I0 cos (ωt),with I0=IA and ω=500rad/s starts flowing in it with the initial direction shown in the figure.At t=

, 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=20μF,R=10Ω and the battery is ideal with emf of 50 V, identify the correct statement(s).

Magnitude of the maximum charge on the capacitor before t=
7π
6ω
is 1×10−3C
The current in the left part of the circuit just before t=
7π
6ω
is clockwise
Immediately after A is connected to D,the current in R is 10 A
Q=2×10−3C

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