A) \[600\mu C,\,\,150\,\,V\]
B) \[300\,\,\mu C,\,\,75\,\,V\]
C) \[800\,\,\mu C,\,\,200\,\,V\]
D) \[580\,\,\mu C,\,\,145\,\,V\]
Correct Answer: D
Solution :
\[\frac{1}{C}=\frac{1}{20}+\frac{1}{8}+\frac{1}{12}\] \[\frac{1}{C}=\frac{6+15+10}{120}\] or \[C=\frac{120}{31}\mu F\] Now, \[Q=CV=\frac{120}{31}\times 300\,\,\mu C\] charge across\[4\mu F\] \[=\frac{120\times 300}{31\times 2}=580.6\,\,\mu C\] Voltage across\[4\mu F\] \[=\frac{580.6}{4}V=145.15\,\,V\]
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