Question

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

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

Answer 1

Answer: (D)

$40\mu F$ and $10/muF$

As $q=cv$
Hence slope of graph will give capacitance. Slope will be more in parallel combination. Hence capacitance in parallel should be $50/muF$ & capacitance in parallel must be $8\mu F$
Only in option $40\mu F$ & $10\mu F$
$C_{parallel}=40+10=50\mu F$
$C_{parallel}=\frac{40\times 10}{40+10}=8\mu F$