A thin glass rod is bent in a semicircle of radius R. A charge is non-uniformly distributed along the rod with a linear charge density λ = λ0 sin θ (λ0 is a positive constant). The electric field at the centre P of the semicircle is,
1
\(-\frac{\lambda_o}{8 \varepsilon_0 R} \hat{j}\)
2
\(\frac{\lambda_o}{8 \varepsilon_0 R} \hat{j}\)
3
\(\frac{\lambda_o}{8\varepsilon_0 R} \hat{i}\)
4
\(-\frac{\lambda_{{o}}}{8 \varepsilon_{{o}} {R}} \hat{{i}}\)