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A charged wire is bent in the form of a semi-circular arc of radius a. If charge per unit length is \[\lambda \] coulomb/metre, the electric field at the centre O is:

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  1.  \[\frac{\lambda }{2\pi {{a}^{2}}{{\varepsilon }_{0}}}\]

  2.  \[\frac{\lambda }{4{{\pi }^{2}}{{\varepsilon }_{0}}a}\]

  3.  \[\frac{\lambda }{2{{\pi }^{2}}{{\varepsilon }_{0}}a}\]

  4.  zero

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