A semi-circular arc of radius a is charged uniformly \( \mathrm{P} \) and the charge per unit le...

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A semi-circular arc of radius a is charged uniformly
\( \mathrm{P} \) and the charge per unit length is \( \lambda \). the electric field

W at its centre is
(A) \( \frac{\lambda}{2 \pi \varepsilon_{0} a^{2}} \)
(B) \( \frac{\lambda}{2 \pi \varepsilon_{0} a} \)
(C) \( \frac{\lambda^{2}}{\pi \varepsilon_{0} a} \)
(D) \( \frac{\lambda}{4 \pi \varepsilon_{0} a} \)
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