Electromagnetic Induction and Alternating Current 6 Question 10
10. At time , terminal in the circuit shown in the figure is connected to by a key and an alternating current , with and starts flowing in it with the initial direction shown in the figure. At , the key is switched from to . Now onwards only and are connected. A total charge flows from the battery to charge the capacitor fully. If and the battery is ideal with emf of , identify the correct statement(s).
(2014 Adv.)
(a) Magnitude of the maximum charge on the capacitor before
(b) The current in the left part of the circuit just before
(c) Immediately after
(d)
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Answer:
Correct Answer: 10. (c, d)
Solution:
Just after switching
In steady state
At
Current comes out to be negative from the given expression. So, current is anti-clockwise. Charge supplied by source from
Apply Kirchhoff’s loop law, just after changing the switch to position
Substituting the values of
In steady state