| ASSERTION: Two condensers of same capacity are connected first in parallel and then in series. The ratio of resultant capacitance in the two cases will be 4:1. |
| REASON: In parallel, capacitance increases and in series, capacitance decreases. |
A) If both assertion and reason are true and reason is the correct explanation of assertion.
B) If both assertion and reason are true and reason is not the correct explanation of assertion.
C) If assertion is true but reason is false.
D) If both assertion and reason are false.
E) If assertion is false but reason is true.
Correct Answer: B
Solution :
The equivalent capacitance in series combination, \[\frac{1}{{{C}_{S}}}=\frac{1}{C}+\frac{1}{C}=\frac{2}{C}\] Or \[{{C}_{s}}=\frac{C}{2}\] Equivalent capacitance in parallel combination. \[{{C}_{P}}=C+C=2C\] So, required ratio \[\frac{{{C}_{P}}}{{{C}_{S}}}=\frac{2C}{\frac{C}{2}}=4\,:\,1\]
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