Question 104: Electrostatics & Capacitance

Question

In the given figure, the charge stored in $$6 \mu F$$ capacitor, when points $$A$$ and $$B$$ are joined by a connecting wire is __________ $$\mu C$$.

Accepted Answer

At steady state, capacitor behaves as an open circuit and current flows in circuit as shown in the diagram.
$$\begin{aligned}
& \mathrm{R}_{\mathrm{eq}}=9 \Omega \
& \mathrm{i}=\frac{9 \mathrm{~V}}{9 \Omega}=1 \mathrm{~A} \
& \Delta \mathrm{V}_{6 \Omega}=1 	imes 6=6 \mathrm{~V} \
& \mathrm{~V}_{\mathrm{A}}=3 \mathrm{~V}
\end{aligned}$$
So, potential difference across 6$$\mu$$F is 6 V.
$$\begin{aligned}
	ext { Hence } \mathrm{Q} & =\mathrm{C} \Delta \mathrm{V} \
& =6 	imes 6 	imes 10^{-6} \mathrm{C} \
& =36 \mu \mathrm{C}
\end{aligned}$$

Electrostatics & Capacitance

In the given figure, the charge stored in $6 \mu F capacitor, when points A and B are joined by a connecting wire is __________ \mu C$.

Integer / Numeric Answer Type