A thin semi-circular ring of radius $r$ has a positive charges $q$ distributed uniformly over it. The net field $\overrightarrow E $ at the center $O$ is

Question

${q \over {4{\pi ^2}{\varepsilon _0}{r^2}}}\,j$

$ - {q \over {4{\pi ^2}{\varepsilon _0}{r^2}}}\,j$

$ - {q \over {2{\pi ^2}{\varepsilon _0}{r^2}}}\,j$

$ {q \over {2{\pi ^2}{\varepsilon _0}{r^2}}}\,j$

Solution

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