In the given circuit find the heat produced between A and B (given $\mathrm{C}=1 \mu \mathrm{F}$ )

• Correct answer
  A

  $50 \mu \mathrm{J}$
• B

  $60 \mu \mathrm{J}$
• C

  $70 \mu \mathrm{J}$
• D

  $100 \mu \mathrm{J}$

Solution

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

Hence, the correct answer is option: 'A'.