Question
In the given circuit, with steady current, calculate the potential drop across the capacitor and the charge stored in it.

Answer


In loop ACDFA
$I=\bigg[\frac{8-4}{4+2}\bigg]\text{A}=\frac{2}{3}\text{A}$
$V_{AF}=V_{BE}$
$\Rightarrow\text{ }4-2\times\frac{2}{3}=4-V_c$
$\Rightarrow\text{ }V_c=\frac{4}{3}\text{V}$
$\text{Charge}, \text{Q}=CV_c$
$\text{Q}=(10{\mu}\text{F}\times\frac{4}{3})$
$=13.33 \text{ }{\mu}\text{C}$

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