A wire of length $L\, (=20\, cm)$, is bent into a semicircular arc. If the two equal halves of the arc were each to be uniformly charged with charges $ \pm Q\,,\,\left[ {\left| Q \right| = {{10}^3}{\varepsilon _0}} \right]$ Coulomb where $\varepsilon _0$ is the permittivity (in $SI\, units$) of free space] the net electric field at the centre $O$ of the semicircular arc would be
A wire of length $L\, (=20\, cm)$, is bent into a semicircular arc. If the two equal halves of the arc were each to be uniformly charged with charges $ \pm Q\,,\,\left[ {\left| Q \right| = {{10}^3}{\varepsilon _0}} \right]$ Coulomb where $\varepsilon _0$ is the permittivity (in $SI\, units$) of free space] the net electric field at the centre $O$ of the semicircular arc would be
- [JEE MAIN 2015]
- A
$\left( {50 \times {{10}^3}\,N/C} \right)\hat j$
- B
$\left( {50 \times {{10}^3}\,N/C} \right)\hat i$
- C
$\left( {25 \times {{10}^3}\,N/C} \right)\hat j$
- D
$\left( {25 \times {{10}^3}\,N/C} \right)\hat i$
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