A) 8/3 V
B) 4V
C) 6V
D) 8V
Correct Answer: D
Solution :
Capacitors \[3\mu F\] and \[6\mu F\] are in parallel, therefore their resultant capacitance, \[C'=3+6=9\mu F\] Capacitors \[4.5\mu F\]and \[9\mu F\]are in series, therefore their resultant capacitance, \[\frac{1}{C}=\frac{1}{9}+\frac{1}{4.5}=\frac{1+2}{9}\] \[\frac{1}{C}=\frac{1}{3}\] \[C=3\mu F\] Given \[V=12\text{ }volt\] \[\therefore \] Charge, \[q=CV\] \[=3\times 12=36\mu C\] For capacitor of \[4.5\mu F,\] \[V=\frac{q}{X}=\frac{36}{4.5}=8volt\]
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