Question 98: Electrostatics & Capacitance

Question

In an electrical circuit drawn below the amount of charge stored in the capacitor is _______ $\mu$ C.

Accepted Answer

In steady state there will be no current in branch of capacitor, so no voltage drop across $\mathrm{R}_2=5 \Omega$
$$
\begin{aligned}
& \mathrm{I}_2=0 \\
& I_1=I_3=\frac{10}{4+6}=1 \mathrm{~A} \\
& \mathrm{~V}_{\mathrm{R}_3}=\mathrm{V}_{\mathrm{c}}+\mathrm{V}_{\mathrm{R}_2}, \quad \mathrm{~V}_{\mathrm{R}_2}=0
\end{aligned}
$$
$\begin{aligned} & \mathrm{I}_3 \mathrm{R}_3=\mathrm{V}_{\mathrm{c}} \\ & \mathrm{V}_{\mathrm{c}}=1 	imes 6=6 	ext { volt } \\ & \mathrm{q}_{\mathrm{c}}=\mathrm{CV}_{\mathrm{c}}=10 	imes 6=60 \mu \mathrm{C}\end{aligned}$

Electrostatics & Capacitance

In an electrical circuit drawn below the amount of charge stored in the capacitor is _______ \mu C.

Integer / Numeric Answer Type