The capacities of two conductors are \[{{C}_{1}}\]and \[{{C}_{2}}\] and their respective potentials are \[{{V}_{1}}\]and\[{{V}_{2}}\]. If they are connected by a thin wire, then the loss of energy will be given by [MP PMT 1986]

\[\frac{({{C}_{1}}+{{C}_{2}})({{V}_{1}}-{{V}_{2}})}{{{C}_{1}}{{C}_{2}}}\]

\[\frac{{{C}_{1}}{{C}_{2}}({{V}_{1}}+{{V}_{2}})}{2({{C}_{1}}+{{C}_{2}})}\]

\[\frac{{{C}_{1}}{{C}_{2}}({{V}_{1}}-{{V}_{2}})}{2({{C}_{1}}+{{C}_{2}})}\]

\[\frac{{{C}_{1}}{{C}_{2}}{{({{V}_{1}}-{{V}_{2}})}^{2}}}{2({{C}_{1}}+{{C}_{2}})}\]

The capacities of two conductors are \[{{C}_{1}}\]and \[{{C}_{2}}\] an

1.	The capacities of two conductors are \[{{C}_{1}}\]and \[{{C}_{2}}\] and their respective potentials are \[{{V}_{1}}\]and\[{{V}_{2}}\]. If they are connected by a thin wire, then the loss of energy will be given by [MP PMT 1986]
A.	\[\frac{{{C}_{1}}{{C}_{2}}({{V}_{1}}+{{V}_{2}})}{2({{C}_{1}}+{{C}_{2}})}\]
B.	\[\frac{{{C}_{1}}{{C}_{2}}({{V}_{1}}-{{V}_{2}})}{2({{C}_{1}}+{{C}_{2}})}\]
C.	\[\frac{{{C}_{1}}{{C}_{2}}{{({{V}_{1}}-{{V}_{2}})}^{2}}}{2({{C}_{1}}+{{C}_{2}})}\]
D.	\[\frac{({{C}_{1}}+{{C}_{2}})({{V}_{1}}-{{V}_{2}})}{{{C}_{1}}{{C}_{2}}}\]
Answer» D. \[\frac{({{C}_{1}}+{{C}_{2}})({{V}_{1}}-{{V}_{2}})}{{{C}_{1}}{{C}_{2}}}\]