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]

Question

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]

TuteeHUB · Accepted Answer

NA

TuteeHUB · Answer

$$\frac{2{{C}_{1}}}{{{n}_{1}}\,{{n}_{2}}}$$

TuteeHUB · Answer

$$16\frac{{{n}_{2}}}{{{n}_{1}}\,}{{C}_{1}}$$

TuteeHUB · Answer

$$2\frac{{{n}_{2}}}{{{n}_{1}}\,}{{C}_{1}}$$

TuteeHUB · Answer

$$\frac{16{{C}_{1}}}{{{n}_{1}}\,{{n}_{2}}\,}$$

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

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