question_answer

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

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

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

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

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