A) 10\[\mu F\]
B) 20\[\mu F\]
C) 30\[\mu F\]
D) 15\[\mu F\]
Correct Answer: D
Solution :
\[{{C}_{1}}=\cdot 10\mu F,\,\,V=50\,\,V\] Charge on first capacitor \[q={{C}_{1}}V\] \[=10\times 50=500\mu C\] Common potential\[V\text{=}\frac{\text{total}\,\,\text{charge}}{\text{total}\,\,\text{capacitance}}\] \[\therefore \] \[20=\frac{500}{10+{{C}_{2}}}\] or \[20=\frac{500}{10+{{C}_{2}}}\] or \[{{C}_{2}}=15\mu F\]
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