A) 6 and 15 \[\mu F\]
B) 5 and 18 \[\mu F\]
C) 15 and 6 \[\mu F\]
D) 18 and 5 \[\mu F\]
Correct Answer: A
Solution :
If n identical capacitors each having capacitances C are connected in series with supply voltage V, then equivalent capacitance \[{{C}_{eq}}=\frac{C}{n}\] Here, \[\frac{C}{n}=2.5\,\mu F\] ...(i) If n identical capacitors are connected in parallel equivalent capacitance\[{{C}_{eq}}=nC\] Here, \[nC=90\mu F\] ...(ii) \[\Rightarrow \] \[n=6\]and\[C=15\mu F\]
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