A) \[\frac{1}{2}({{V}_{1}}+{{V}_{2}})\]
B) \[\frac{{{C}_{2}}{{V}_{1}}+{{C}_{1}}{{V}_{2}}}{{{C}_{1}}+{{C}_{2}}}\]
C) \[\frac{{{C}_{1}}{{V}_{1}}+{{C}_{2}}{{V}_{2}}}{{{C}_{1}}+{{C}_{2}}}\]
D) \[\frac{{{C}_{2}}{{V}_{1}}-{{C}_{1}}{{V}_{2}}}{{{C}_{1}}+{{C}_{2}}}\]
Correct Answer: C
Solution :
Charge on \[{{C}_{1}}\] = charge on \[{{C}_{2}}\] Þ \[{{C}_{1}}({{V}_{A}}-{{V}_{D}})={{C}_{2}}({{V}_{D}}-{{V}_{B}})\] Þ \[{{C}_{1}}({{V}_{1}}-{{V}_{D}})={{C}_{2}}({{V}_{D}}-{{V}_{2}})\]Þ \[{{V}_{D}}=\frac{{{C}_{1}}{{V}_{1}}+{{C}_{2}}{{V}_{2}}}{{{C}_{1}}+{{C}_{2}}}\]You need to login to perform this action.
You will be redirected in
3 sec