| Figure shows charge (q) versus voltage (V) graph for series and parallel combination of two given capacitors. The capacitances are : [JEE Main 10-4-2019 Morning] |
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A) \[50\mu F\text{ }and\text{ }30\mu F\]
B) \[20\mu F\text{ }and\text{ }30\mu F\]
C) \[60\mu F\text{ }and\text{ }40\mu F\]
D) \[40\mu F\text{ }and\text{ }10\mu F\]
Correct Answer: D
Solution :
| [d] As q = CV |
| Hence slope of graph will give capacitance. |
| Slope will be more in parallel combination. |
| Hence capacitance in parallel should be \[50\mu F\]& in series combination must be \[8\mu F\]. |
| Only in option \[40\mu F\text{ }\And \text{ }10\mu F\] |
| \[{{C}_{parallel}}=40+10=50\mu F\] |
| \[{{C}_{series}}=\frac{40\times 10}{40+10}=8\mu F\] |
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