A wire having a uniform linear charge density \( \lambda \) is bent in the form of a ring of radius \( R \). Point \( A \) as shown in figure is in the plane of the ring but not at the center. Two elements of the ring of lengths \( a_{1} \) and \( a_{2} \) subtend very small same angle at point \( A \). They are at distances \( r_{1} \) and \( r_{2} \) from point \( A \), respectively \( \left(r_{2}r_{1}\right) \).
(1) The ratio of charges of element \( a_{1} \)
to that of element \( a_{2} \) is \( r_{1} / r_{2} \).
(2) The element \( a_{1} \) produced greater magnitude of electric field at \( A \) than element \( a_{2} \).
(3) The elements \( a_{1} \) and \( a_{2} \) produce same potential at \( A \).
(4) The direction of the net electric field produced by the elements only at \( A \) is toward element \( a_{2} \).
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