Question

In the given circuit, charge $Q_2$ on the $2 \mu F$ capacitor changes as $C$ is varied from $1 \mu F$ to $3 \mu F.$ $Q_2$ as a function of $'C'$ is given properly by (figures are drawn schematically and are not to scale)

• A.
• B.
• C.
• D.

Answer 1

Answer: (A)

Answer 2

$q=\left(\frac{3 C}{C+3}\right) E$
$q=C V$
$q \propto C$
$q _{2}=\left(\frac{3 C }{ C +3}\right) E \left(\frac{2}{3}\right)$
$q _{2}=\left(\frac{2 C }{ C +3}\right) E$
$q_{2}=\left(\frac{2 c}{1+\frac{3}{C}}\right) E \,\,\,\,\,\,\,q=C V$
$C \uparrow q _{2} \uparrow$
If $C \rightarrow \infty, q =$ constant value.