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 ( 
t), with I 0 = 1A and 
= 500 rad/s 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 
F, R = 10 
and the battery is ideal with emf of 50 V, identify the correct statement(s).
is 
.
is clockwise.
Text Solution
Verified by ExpertsC
As current leads voltage by 
/2 in the given circuit initially, then ac voltage can be represent as
V = V 0 sin 
t
q = CV 0 sin 
t = Q sin 
t
where, Q = 2 x 10 -3 C
At 
and hence current is anticlockwise.
Current ‘ i ’ immediately after 
is
Charge flow = Q final – 
Hence C & D are correct options.
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