A thin semi-circular ring of radius r has a positive charge distributed uniformly over…

Physics · JEE Main · NTA Exams — Electrostatics

A thin semi-circular ring of radius r has a positive charge distributed uniformly over it. The net field \(\overrightarrow{\mathrm{E}}\) at the centre O is
  1. \(\frac{\mathrm{q}}{4 \pi^{2} \varepsilon_{0} \mathrm{r}^{2}} \hat{\mathrm{j}}\)
  2. \(-\frac{\mathrm{q}}{4 \pi^{2} \varepsilon_{0} \mathrm{r}^{2}} \hat{\mathrm{j}}\)
  3. \(-\frac{\mathrm{q}}{2 \pi^{2} \varepsilon_{0} \mathrm{r}^{2}} \hat{\mathrm{j}}\)
  4. \(\frac{q}{2 \pi^{2} \varepsilon_{0} r^{2}} \hat{j}\)

Answer

(C) - q 2 ^ 2 _ 0 r ^ 2 j

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