A) \[63\mu j,\left| {{q}_{1}} \right|=7.35\mu C\] and \[\left| {{q}_{2}} \right|=13.65\mu C\]
B) \[22\mu j,\left| {{q}_{1}} \right|=10.5\mu C\] and \[\left| {{q}_{2}} \right|=10.5\mu C\]
C) \[22\mu j,\left| {{q}_{1}} \right|=13.65\mu C\] and \[\left| {{q}_{2}} \right|=13.65\mu C\]
D) \[22\mu j,\left| {{q}_{1}} \right|=13.65\mu C\] and \[\left| {{q}_{2}} \right|=7.35\mu C\]
Correct Answer: C
Solution :
\[V=\frac{{{C}_{1}}{{V}_{1}}+{{C}_{2}}{{V}_{2}}}{{{C}_{1}}+{{C}_{2}}}\] \[=\frac{3.5\times 6+0}{10}\] \[v=2.1\,V\] \[{{q}_{1}}=2.1\times 3.5\] \[{{q}_{1}}=7.35\,\mu C\] \[{{q}_{2}}={{C}_{2}}V\] \[=6.5\times {{10}^{-6}}\times 2.1\] and \[U=\frac{1}{2}C{{V}^{2}}\] \[=\frac{1}{2}\times 10{{(2.1)}^{2}}\] = 22.01 \[=22\,\mu J\]You need to login to perform this action.
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