Question

the charge on capacitors $C_1$ and $C_4$ are

• A. $4\times 10^{-3}C,12\times 10^{-3}C$
• B. $6\times 10^{-3}C,12\times 10^{-3}C$
• C. $2\times 10^{-3}C,4\times 10^{-3}C$
• D. $3\times 10^{-3}C,2\times 10^{-3}C$

Answer 1

Answer: (A)

Charge on each capacitor, $C_1,C_2,C_3$ is same $=q$ Let charge on $C_4$ be $q$'
$\therefore \frac{q}{C_1}+\frac{q}{C_2}+\frac{q}{C_3}=600$
or $q\left[\frac{1}{C_1}+\frac{1}{C_2}+\frac{1}{C_3}\right]=600$
or $\frac{q}{C_s}=600$
$\therefore q=600C_s=600\times \frac{20}{3}\mu C$
$4000\times 10^{-6}C=4\times 10^{-3}C$
Also $\frac{q^{\prime }}{C_4}=600$
or $q^{\prime }=C_4\times 600\mu C$
$=200\times 600\mu C$
$=12\times 10^{-3}C$