An arc of radius $r$ carries charge. The linear density of charge is $\lambda$ and the arc subtends a angle $\frac{\pi }{3}$ at the centre. What is electric potential at the centre

  • A

    $\frac{\lambda }{{4{\varepsilon _0}}}$

  • B

    $\frac{\lambda }{{8{\varepsilon _0}}}$

  • C

    $\frac{\lambda }{{12{\varepsilon _0}}}$

  • D

    $\frac{\lambda }{{16{\varepsilon _0}}}$

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