Question

Figure shows charge $(q)$ versus voltage $(V)$ graph for series and parallel combination of two given capacitors. The capacitances are :

• A. $50 \; \mu F$ and $ 30\, \mu F $
• B. $20 \; \mu F$ and $ 30\, \mu F $
• C. $60 \; \mu F$ and $ 40\, \mu F $
• D. $40 \; \mu F$ and $10\, \mu F $

Answer 1

Answer: (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 $ & $10 \mu F $
$C_{\text{parallel}} = 40 + 10 = 50 \mu F $
$ C_{\text{series}} = \frac{40 \times10}{40+10} = 8 \mu F $