Question

For the given uniformly charged semi-circular ring, electric field at the centre is

• A. $150\text{N/C}$
• B. $160\text{N/C}$
• C. $170\text{N/C}$
• D. $180\text{N/C}$

Answer 1

The correct option is D $180\text{N/C}$

Given:
$\lambda =+30\text{nC/m}=30\times {10}^{-9}\text{C/m};R=3\text{m}$

We know that, the electric field at the centre of uniformly charged semi-circular ring is given by,

$E=\frac{2k\lambda }{R}$

$\Rightarrow E=\frac{2\times 9\times {10}^9\times 30\times {10}^{-9}}{3}$

$\Rightarrow E=180\text{N/C}$

Hence, option $\left(d\right)$ is the correct answer.