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In the given circuit find the heat produced between A and B (given $\mathrm{C}=1 \mu \mathrm{F}$ )
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Verified Answer
The correct answer is:
$50 \mu \mathrm{J}$
Key Idea Potential drop is zero along an ideal conductor because it has zero resistance.
Potential at point $\mathrm{A}=10 \mathrm{~V}$
Potential at point $\mathrm{B}=0 \mathrm{~V}$
$\therefore$ Potential difference across $\mathrm{AB}=10 \mathrm{~V}$
$\begin{aligned} \text { Heat produced } & =\text { Energy stored }=\frac{1}{2} \mathrm{CV}^2 \\ & =\frac{1}{2} \times 10^{-6} \times(10)^2=50 \mu \mathrm{J}\end{aligned}$
Potential at point $\mathrm{A}=10 \mathrm{~V}$
Potential at point $\mathrm{B}=0 \mathrm{~V}$
$\therefore$ Potential difference across $\mathrm{AB}=10 \mathrm{~V}$
$\begin{aligned} \text { Heat produced } & =\text { Energy stored }=\frac{1}{2} \mathrm{CV}^2 \\ & =\frac{1}{2} \times 10^{-6} \times(10)^2=50 \mu \mathrm{J}\end{aligned}$
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