question_answer

A series combination of\[{{n}_{1}}\]capacitors, each of value \[{{C}_{1}}\] is charged by a source of potential difference 4 V. When another parallel combination of \[{{n}_{2}}\]capacitors, each of value \[{{C}_{2}}\], is charged by a source of potential difference V, it has the same (total) energy stored in it, as the first combination has. The value of \[{{C}_{2}}\], in terms of \[{{C}_{2}}\], is then

A) \[\frac{2{{C}_{1}}}{{{n}_{1}}{{n}_{2}}}\]    

B) \[16\frac{{{n}_{2}}}{{{n}_{1}}}{{C}_{1}}\]

C) \[2\frac{{{n}_{2}}}{{{n}_{1}}}{{C}_{1}}\]

D) \[\frac{16{{C}_{1}}}{{{n}_{2}}{{n}_{1}}}\]

Correct Answer: D

Solution :

In series,  Energy stored, In parallel,