In the given circuit find the heat produced between A and B (given...

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 $\mathrm{AB}=10 \mathrm{~V}$ $$\begin{aligned} \text{ Heat produced } & =\text{ Energy stored }=\frac{1}{2} \mathrm{CV}^2 \\ & =\frac{1}{2} \times 10^{-6} \times(10)^2=50 \mu \mathrm{J}\end{aligned}$$