Directions : In the following question more than one of the answers given may be correct. Select the correct answer and mark it according to the code:
In the circuit shown, which of the following statements is/are correct?
(1) When S is open, charge on\[{{C}_{1}}\]is\[36\mu C\] (2) When S is open, charge on\[{{C}_{2}}\]is\[36\mu C\] (3) When S is closed, charges on both\[{{C}_{1}}\]and \[{{C}_{2}}\]change (4) When S is closed, charges on\[{{C}_{1}}\]and\[{{C}_{2}}\]do not change
A) 1, 2 and 3 are correct
B) 1 and 2 are correct
C) 2 and 4 are correct
D) 1 and 3 are correct
Correct Answer: A
Solution :
When S is open,\[{{C}_{1}}\]and\[{{C}_{2}}\]are in series. Their equivalent capacitance \[{{C}_{eq}}=\frac{3\times 6}{3+6}=2\mu F\] Charges on\[{{C}_{1}}\]and\[{{C}_{2}}\]are equal \[q={{C}_{eq}}V=2\times 18=36\mu C\] When S is closed, charges on\[{{C}_{1}}\]and\[{{C}_{2}}\]must change. Hence, option is correct.
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