Question
Find the potential difference between the points $A$ and $B$ and between the points $B$ and $C$ of the figure. in steady state.
✓
Answer
$\text{C}_\text{eq}=\big[(3\mu\text{fp}\ 3\mu\text{f})\text{s}(1\mu\text{f p}1\mu\text{f})\big]\text{p}(1\mu\text{f})$
$=\big[(3+3)\mu\text{f s}(2\mu\text{f})\big]\text{p}1\mu\text{f}$
$=\frac{3}{2}+1=\frac{5}{2}\mu\text{f}$
$\text{V}=100\text{V}$
$\text{Q}=\text{CV}=\frac{5}{2}\times100=250\mu\text{c}$
Charge stored across $1\mu\text{f}$ capacitor $=100\mu\text{C}$
$C_{eq}$ between $A$ and $B$ is $=6\mu\text{f}=\text{C}$
Potential drop across $\text{AB}=\text{V}=\frac{\text{Q}}{\text{C}}=25\text{V}$
Potential drop across $BC = 75V$.
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