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A series combination of n1 capacitors, each of value \[{{C}_{1}},\] is charged by a source of potential difference 4V. 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 \[{{C}_{1}},\] is then [AIPMT (S) 2010]

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  1.  \[\frac{2{{C}_{1}}}{{{n}_{1}}\,{{n}_{2}}}\]

  2.  \[16\frac{{{n}_{2}}}{{{n}_{1}}\,}{{C}_{1}}\]

  3.  \[2\frac{{{n}_{2}}}{{{n}_{1}}\,}{{C}_{1}}\]

  4.  \[\frac{16{{C}_{1}}}{{{n}_{1}}\,{{n}_{2}}\,}\]

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