A capacitor of capacity \[{{C}_{1}}\]is charged upto V volt and then connected to an uncharged capacitor of capacity \[{{C}_{2}}\]. Then final potential difference across each will be [MP PET 2000; CBSE PMT 2002; MP PET 2003]

\[\left( 1-\frac{{{C}_{2}}}{{{C}_{1}}} \right)\,V\]

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

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

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

A capacitor of capacity \[{{C}_{1}}\]is charged upto V volt and then c

1.	A capacitor of capacity \[{{C}_{1}}\]is charged upto V volt and then connected to an uncharged capacitor of capacity \[{{C}_{2}}\]. Then final potential difference across each will be [MP PET 2000; CBSE PMT 2002; MP PET 2003]
A.	\[\frac{{{C}_{2}}V}{{{C}_{1}}+{{C}_{2}}}\]
B.	\[\left( 1+\frac{{{C}_{2}}}{{{C}_{1}}} \right)\,V\]
C.	\[\frac{{{C}_{1}}V}{{{C}_{1}}+{{C}_{2}}}\]
D.	\[\left( 1-\frac{{{C}_{2}}}{{{C}_{1}}} \right)\,V\]
Answer» D. \[\left( 1-\frac{{{C}_{2}}}{{{C}_{1}}} \right)\,V\]