At the centre of a half ring of radius $\mathrm{R}=10 \mathrm{~cm}$ and linear charge density $4 \mathrm{n}…
At the centre of a half ring of radius $\mathrm{R}=10 \mathrm{~cm}$ and linear charge density $4 \mathrm{n} \mathrm{C} \mathrm{m}^{-1}$, the potential is $x \pi \mathrm{V}$. The value of $x$ is _______
Solution
Potential at centre of half ring
$\begin{aligned} & V=\frac{K Q}{R} \\ & V=\frac{K \lambda \pi R}{R} \\ & V=K \lambda \pi \Rightarrow V=9 \times 10^9 \times 4 \times 10^{-9} \pi \\ & V=36 \pi\end{aligned}$