Charge on the capacitor after a long time
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Charge on the capacitor after a long time

[From: ] [author: ] [Date: 12-06-13] [Hit: ]
the capacitor will be fully charged, so there will be no further current in the right hand circuit loop; that means there is no voltage-drop across the 10ohm resistor (sin V=IR).Looking at the right hand circuit loop, the total emf is 20-14=6V (because the cells are facing in opposite directions in the loop).Applying Kirchhoffs 2nd Law to the right hand loop, the voltage across the capacitorwill be 6V.......
The circuit shown has been connected for a long time. The charge (in μC) on the capacitor is:

(A) 80
(B) 60
(C) 40
(D) 20
(E) Zero

This is the link:
http://flic.kr/p/cdVM1s

Thanks

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After a long period, the capacitor will be fully charged, so there will be no further current in the right hand circuit loop; that means there is no voltage-drop across the 10ohm resistor (sin V=IR).

Looking at the right hand circuit loop, the total emf is 20-14=6V (because the cells are facing in opposite directions in the loop). Applying Kirchhoff's 2nd Law to the right hand loop, the voltage across the capacitor will be 6V.

Q = CV
= 10x 10^-6 x 6
= 60 x 10^-6 C
= 60 μC (answer B)
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