Q162 / 180 · KCET 2023 · Physics
Electric field at a distance $r$ from an infinitely long uniformly charged straight conductor, having linear charge density $\lambda$ is $E_1$. Another uniformly charged conductor having same linear charge density $\lambda$ is bent. into a semicircle of radius $r$. The electric field at its centre is $E_2$. Then
- A$E_2=\pi r E_1$
- B$E_2=\frac{E_1}{r}$
- Correct answerC$E_1=E_2$
- D$E_1=\pi r E_2$
Solution
Electric field due to infinitely charged long
wire, $E_1=\frac{2 k \lambda}{r}$.
Electric field at the centre of semicircular ring,
$E_2=\frac{2 k \lambda}{r}$
Therefore, $E_1=E_2$
Hence, the correct answer is option: 'C'.