Question

Find the final potential across the two capacitors, if the initial conditions is as shown below.

• A. $\frac{7V}{11}$
• B. $\frac{2V}{7}$
• C. $\frac{11V}{7}$
• D. $\frac{9V}{7}$

Answer 1

The correct option is C $\frac{11V}{7}$

Initially circuit given,


Let the final potential across the two capacitors be $E$.


From the conservation of charge total charge in the dotted box remains constant.

$(-3CV-8CV)=(-3CE-4CE)$

$\Rightarrow +11CV=+7CE$

$\Rightarrow E=\frac{11V}{7}$

Hence, option (c) is correct answer.